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Вычислительная математика

Springer, 2017. — 324 p. — ISBN: 978-981-10-2444-3; 978-981-10-2443-6 This book presents the theory of continuum mechanics for mechanical, thermodynamical, and electrodynamical systems. It shows how to obtain governing equations and it applies them by computing the reality. It uses only open-source codes developed under the FEniCS project and includes codes for 20 engineering...
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Springer, 2015. — 759 p. Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. This book gathers a selection of invited and contributed lectures from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30, 2013. It provides an...
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Academic Press, 2008. - 272 pages. Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. · Clearer, simpler descriptions and explanations of the various numerical methods · Windows based software · Two new types...
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N.-Y.: CRC Press, 2010. — 608 p. Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis. The text covers the main...
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Springer, 2020. — 368 p. — (Nonlinear Systems and Complexity 27). — ISBN 978-3-030-19916-6. The central subject of this book is Almost Periodic Oscillations, the most common oscillations in applications and the most intricate for mathematical analysis. Prof. Akhmet's lucid and rigorous examination proves these oscillations are a "regular" component of chaotic attractors. The book...
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Boca Raton: Chapman & Hall/CRC, 2005. - 245 p. This book presents a survey of analytical, asymptotic, numerical, and combined methods of solving eigenvalue problems. It considers the new method of accelerated convergence for solving problems of the Sturm-Liouville type as well as boundary-value problems with boundary conditions of the first, second, and third kind. The authors...
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Springer, 2015. — 351 p. NAO-III, Muscat, Oman, January 2014 Presenting the latest findings in the field of numerical analysis and optimization, this volume balances pure research with practical applications of the subject. Accompanied by detailed tables, figures, and examinations of useful software tools, this volume will equip the reader to perform detailed and layered analysis...
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Springer, 2001. — 252 p. This volume contains eighteen papers submitted in celebration of the sixty-fifth birthday of Professor Tetsuro Yamamoto of Ehime University. Professor Yamamoto was born in Tottori, Japan on January 4, 1937. He obtained his B. S. and M. S. in mathematics from Hiroshima University in 1959 and 1961, respec­ tively. In 1966, he took a lecturer position in the...
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Singapore: Springer, 2019. — 572 p. This book features the proceedings of the Fifth International Conference on Computational Science and Technology 2018 (ICCST2018), held in Kota Kinabalu, Malaysia, on 29–30 August 2018. Of interest to practitioners and researchers, it presents exciting advances in computational techniques and solutions in this area. It also identifies emerging...
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Apple Academic Press, 2016. — 564 p. — (Innovations in Chemical Physics and Mesoscopy). — ISBN 978-1-77188-290-3. The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling...
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Springer, 2006. - 717 p. ISBN: 3540295860. What you’ll find in this monograph is nothing less than a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but who does not have an extensive background in the subject and does not plan to make a career as a functional analyst. It...
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Springer Science+Business Media, New York, 2013. — 303 p. — (Developments in Mathematics. Volume 31) — ISBN: 1493901443 In the last decade, the areas of quadratic and higher degree forms have witnessed dramatic advances. This volume is an outgrowth of three seminal conferences on these topics held in 2009, two at the University of Florida and one at the Arizona Winter School....
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2nd Edition. — Oxford, United Kingdom, Oxford University Press, 2017. — 641 p. — ISBN 0198803192. This book provides a practical guide to molecular dynamics and Monte Carlo simulation techniques used in the modelling of simple and complex liquids. Computer simulation is an essential tool in studying the chemistry and physics of condensed matter, complementing and reinforcing both...
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Clarendon Press, 1989. — 408 p. — ISBN-10 0198556454; ISBN-13 978-0198556459. A first in its field, this book is both an introduction to computer simulation of liquids for upper level undergraduates and a how-to guide for specialists. The authors discuss the latest simulation techniques of molecular dynamics and the Monte Carlo methods as well as how to avoid common programming...
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Colorado State University, 1990. — 397 p. Over the past ten to fifteen years two new techniques have yielded extremely important contributions toward the numerical solution of nonlinear systems of equations. These two methods have been called by various names. One of the methods has been called the predictor-corrector or pseudo arc-length continuation method. This method has its...
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Leiden: CRC Press, 2014. - 359p. Iterative algorithms often rely on approximate evaluation techniques, which may include statistical estimation, computer simulation or functional approximation. This volume presents methods for the study of approximate iterative algorithms, providing tools for the derivation of error bounds and convergence rates, and for the optimal design of such...
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American Mathematical Society, 2004. — 210 p. — (CRM Monograph Series. Book 22) — ISSN: 0821833596 The purpose of this monograph is to provide an introduction to 8himura curves from a theoretical and algorithmic perspective. 8himura curves lie at the crossroads of many areas, including complex analysis, p-adic analysis, arithmetic, Diophantine geometry, algebraic geometry,...
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New York: Springer, 2016. - 286 p. This book focuses on the approximation of nonlinear equations using iterative methods. Nine contributions are presented on the construction and analysis of these methods, the coverage encompassing convergence, efficiency, robustness, dynamics, and applications. Many problems are stated in the form of nonlinear equations, using mathematical...
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Proceedings of the International Conference «Analytical and numerical methods for solving of hydrodynamics, mathematical physics and biology problems», dedicated to the 100th anniversary of K. I. Babenko (Pushchino, 26–29 August, 2019), Keldysh Institute of Applied Mathematics RAS, 2019. – 182 p. Abstract The conference includes lectures and reports on computational mathematics,...
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Basel: Birkhäuser, 2016. — 353 p. This new and expanded monograph improves upon Mohan's earlier book, Residue Number Systems (Springer, 2002) with a state of the art treatment of the subject. Replete with detailed illustrations and helpful examples, this book covers a host of cutting edge topics such as the core function, the quotient function, new Chinese Remainder theorems,...
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New York: Springer, 2018. — 162 p. This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to...
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Springer International Publishing AG, 2018. — 166 p. — (Studies in Systems, Decision and Control 130) — ISBN 3319695258. This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature....
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New York: Springer, 2016. — 125 p. Presents recent original research of the authors in Numerical Analysis and Fractional Calculus. The chapters are self-contained and can be read independently including an extensive list of references per chapter. Newton-like and other similar numerical methods with applications to solving multivariate equations are developed, involving...
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New York: Springer, 2016. - 427p. In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also non-differentiable in the ordinary sense. That...
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Springer, 2015. — 319 p. — ISBN: 9783319167381, 9783319167398 This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding...
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WILEY-VCH Verlag GmbH & Co., 2008. – 522 p. – ISBN: 3527318623. With its comprehensive overview of modern reduction methods, this book features high quality contributions allowing readers to find reliable solutions quickly and easily. The monograph treats the reduction of carbonyles, alkenes, imines and alkynes, as well as reductive aminations and cross and heck couplings,...
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Universal Publishers, 2007. — 256 p. — ISBN-10: 15811297424; ISBN-13: 978-1581129748. This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector...
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The University of Texas at Austin, 2008. — 279 p. Contents . Preliminaries. Normed Linear Spaces and Banach Spaces. Hilbert Spaces. Spectral Theory and Compact Operators. Distributions. The Fourier Transform. Sobolev Spaces. Boundary Value Problems. Differential Calculus in Banach Spaces and the Calculus of Variations. Bibliography.
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Springer, 2004. – 280 p. – ISBN: 1402077866, 9781402077869 This book is of interest to mathematicians, geologists, engineers and, in general, researchers and post graduate students involved in spline function theory, surface fitting problems or variational methods. From reviews: The book is well organized, and the English is very good. I recommend the book to researchers in...
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Boston: Elsevier, Academic Press, 2007. — 505 p. The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated...
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New York: Springer, 2008. — 512 p. Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods. This monograph provides a comprehensive study of both basic theory and new results in the area. Each chapter contains new theoretical results and important applications in engineering, modeling...
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Boca Raton: CRC Press, 2012. — 474 p. — ISBN: 1578087538. This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a...
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New York: Nova, 2017. — 305 p. In this monograph, we present the complete recent work of the past decade of the authors on convergence and applications of iterative methods. It is the natural outgrowth of their related publications in these areas. Chapters are self-contained and can be read independently. Moreover, an extensive list of references is given in each chapter, in order...
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CRC Press, 2017. — 366 p. — ISBN 149876360X. Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference book for advanced computational method in nonlinear analysis, this book is a collection of the recent results on the convergence analysis...
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Springer, 2000. — 264 s. ISBN: 3540662588 Ausgehend von der Programmierung moderner Hochleistungsalgorithmen stellen die Autoren das mathematische und programmtechnische Umfeld der Zahl Pi ausführlich dar. So werden zur Berechnung von Pi sowohl die arithmetischen Algorithmen, etwa die FFT-Multiplikation, die super-linear konvergenten Verfahren von Gauß, Brent, Salamin, Borwein,...
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Springer, 2018. — 356 p. — ISBN 978-4-431-70218-4. The main ideas of the proof of resolution of singularities of complex-analytic spaces presented here were developed by Heisuke Hironaka in the late 1960s and early 1970s. Since then, a number of proofs, all inspired by Hironaka's general approach, have appeared, the validity of some of them extending beyond the complex analytic...
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World Scientific Publishing, 1998. — 400 p. — ISBN-10: 9810235011 A description of the adaptive methods of statistical numerical analysis using evaluation of integrals, solution of integral equations, boundary value problems of the theory of elasticity and heat conduction as examples. The results and approaches provided are different from those available in the literature, as...
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Society for Industrial & Applied, 2008. — 409 p. — ISBN: 0898716527 Methods for the numerical simulation of dynamic mathematical models have been the focus of intensive research for well over 60 years, and the demand for better and more efficient methods has grown as the range of applications has increased. Mathematical models involving evolutionary partial differential...
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Society for industrial and Applied mathematics. Philadelphia. 2011. 580 pages. ISBN: 0898719976. A First Course on Numerical Methods is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopaedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods,...
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Canada, University of Ottawa, 2009, 189 p. Учебник по численным методам с примерами на Matlab. Хорошо изложено "Численное дифференцирование и интегрирование" ( "Numerical Differentiation and Integration"). Глава 6 ("The Matlab ODE Suite"), написанная на основе известной статьи авторов, посвящена сравнению Matlab-программ для решения обыкновенных дифференциальных уравнений....
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Monograph. — New York: Springer, 2007. — 476 p. Stochastic Mechanics, Random Media, Signal Processing and Image Synthesis, Mathematical Economics and Finance, Stochastic Optimization, Stochastic Control, Stochastic Models in Life Sciences.
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Wiley, 1989. - 712 pages. This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary...
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John Wiley & Sons, 2004. - 576 pages. 3 edition ISBN: 0471433373 Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized...
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Springer, 2005. — 583 p. The book presents an abstract point of view of Numerical Analysis (as one can immediatly see by the title!). It is written by a master in the topic, author of more than 70 publications at the higher levels, well known for his contributions in Integral and Partial Differential Equations. If one is interested on the basic aspects of numerical analysis,...
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Wiley, 2009. — 252 p. — ISBN: 047004294X A concise introduction to numerical methods and the mathematical framework needed to understand their performance Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only...
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New York, "Cambridge University Press", 1997, -571p. This book provides an extensive introduction to the numerical solution of a large class of integral equations. The initial chapters provide a general framework for the numerical analysis of Fredholm integral equations of the second kind, covering degenerate kernel, projection, and Nystrom methods. Additional discussions of...
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Springer, 2009. — 631 p. This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into a research program. The text covers basic results of functional analysis, approximation theory,...
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North-Holland, 1992. — 385 p. In this monograph, which is an extensive study of Hilbertian approximation, the emphasis is placed on spline functions theory. The origin of the book was an effort to show that spline theory parallels Hilbertian Kernel theory, not only for splines derived from minimization of a quadratic functional but more generally for splines considered as...
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Presentation. Charles Audet,´Ecole Polytechnique de Montr´eal. Lu´ıs Nunes Vicente, Universidade de Coimbra. Mini-tutorial – SIOPT 2008 – Boston. May 2008. pages: 109. Presentation Outline. Introduction. Unconstrained optimization. Optimization under general constraints. Surrogates, global DFO, software, and references.
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InTech, 2011. 626 р. ISBN:978-953-307-389-7 Numerical Analysis - Theory and Application is an edited book divided into two parts: Part I devoted to Theory, and Part II dealing with Application. The presented book is focused on introducing theoretical approaches of numerical analysis as well as applications of various numerical methods to either study or solving numerous...
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AK Pеters, 2006. - 308 pages. The last twenty years have been witness to a fundamental shift in the way mathematics is practiced. With the continued advance of computing power and accessibility, the view that real mathematicians don't compute no longer has any traction for a newer generation of mathematicians that can really take advantage of computer-aided research,...
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North Holland, Elsevier, 2006. ISBN:0444521402 This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in...
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Springer, 2018. — 296 p. — (Ergebnisse der Mathematik und ihrer Grenzgebiete 68). — ISBN 978-3-319-77660-6. The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation...
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New York: Springer, 2005. — 298 p. This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The...
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Society for Industrial and Applied Mathematics, 1998. — 123 p. Intended mainly for use as a reference manual, this third edition encompasses all the improvements of the newest version of the PLTMG software package. This updated version introduces several significant changes, including the following: The data structures defining the domain (triangulation and skeleton) have been...
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Birkhäuser Basel, 2007. - 230 Pages. This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for phenomena in biology, chemistry, and engineering. The authors are particularly interested in nonlinear problems, which have gone little-examined so far in literature dedicated to singular...
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New York: Springer, 2016. -541 p. Finite element methods for approximating partial differential equations have reached a high degree of maturity, and are an indispensible tool in science and technology. This textbook aims at providing a thorough introduction to the construction, analysis, and implementation of finite element methods for model problems arising in continuum...
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N.-Y.: Springer, 2015. - 396p. The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the...
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European Mathematical Society, 2008. — 189 p. — (Zurich Lectures in Advanced Mathematics). — ISBN 978-3-03719-052-4. These are the lecture notes for a graduate course which the author taught twice, first at the ETH, Z¨urich in Spring - Summer 2007 as a part of the “Nachdiplom Lectures” series and then at the University of Michigan, Ann Arbor, in the Fall of 2007 as a regular...
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Scientific books, 2016. – 311 c. ISBN: 1523251182 MATLAB is a platform for scientific computing that can be used in almost all areas of the experimental sciences and engineering. Given its wide ranging mathematical scope, MATLAB naturally implements extremely efficient commands that allow you to work in linear algebra with ease. After introducing the MATLAB working environment,...
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Springer, 2018. — 753 p. — ISBN 978-3-319-74828-3 The goal of the Volume I Geometric Algebra for Computer Vision, Graphics and Neural Computing is to present a unified mathematical treatment of diverse problems in the general domain of artificial intelligence and associated fields using Clifford, or geometric, algebra. Geometric algebra provides a rich and general mathematical...
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Springer, 2010. — 625 p. This book presents the theory and applications of an advanced mathematical language called geometric algebra that greatly helps to express the ideas and concepts, and to develop algorithms in the broad domain of robot physics. In the history of science, without essentialmathematical concepts, theorieswould have not been developed at all. We can observe...
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Springer, 2010. - 526 pages. This book presents contributions from a global selection of experts in the field. This useful text offers new insights and solutions for the development of theorems, algorithms and advanced methods for real-time applications across a range of disciplines. Written in an accessible style, the discussion of all applications is enhanced by the inclusion...
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New York: Springer, 2004. — 223 p. — ISBN 9781402076756, 1402076754. This book was undertaken to provide a text and reference on the theory and practice of the FFT and its common usage. This book is organized in only four chapters, and is intended as a tutorial on the use of the FFf and its trade space. The trade space of the FFT is the parameters in its usage and the...
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Springer, 2007. - 226 pages. This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. The authors have weaved a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory. Because there is no other book that puts together all of these ideas...
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Springer International Publishing, Switzerland, 2016. — 468 p. — ISBN-10: 331934188X Presents a broad treatment of so-called "max-product" type operators Discusses the analogy between the probabilistic and possibilistic approaches of the classical Bernstein type operators Considers a wide variety of operators which are studied for a number of interesting problems This...
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1st Ed., Springer, 2008. - 494 pp. - ISBN-10: 3211715746 This is a thorough, yet understandable text about the boundary element method (BEM), an attractive alternative to the finite element method (FEM). It not only explains the theory, but also deals with the implementation into computer code written in FORTRAN 95 (software can be freely downloaded). Applications range from...
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Springer, 2014. — 399 p. This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one...
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New York: Springer, 2016. - 777 p. Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary...
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Oxford University Press, USA, 2003. - 416 pages. The main purpose of the book is to introduce the readers to the numerical integration of the Cauchy problem for delay differential equations (DDEs). Peculiarities and differences that DDEs exhibit with respect to ordinary differential equations are preliminarily outlined by numerous examples illustrating some unexpected, and...
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N.-Y.: Springer, 2015. - 608p. Festschrift for outstanding researcher Discussion of selected topics of applied mathematics by unique selection of international experts Summaries of particular theories and algorithms and discussion of their development as well as the state-of-the-art This edited volume highlights the scientific contributions of Volker Mehrmann, a leading...
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Springer – 2007, 342 pages, 2nd edition. ISBN: 3540722335, 9783540722335. The aim of this monograph is to give a unified introductory treatment of the most important iterative methods for constructing fixed points of nonlinear contractive type mappings. It summarizes the most significant contributions in the area by presenting, for each iterative method considered (Picard...
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Издательство Springer, 2012, -468 pp. This collection is a tribute to the intellectual leadership and legacy of Prof. Ahmed H. Sameh. His significant contributions to the field of Parallel Computing, over his long and distinguished career, have had a profound influence on high performance computing algorithms, applications, and systems. His defining contributions to the field...
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European Mathematical Society, 2006. - 302 pages. This special volume is dedicated to the memory of Andrey A. Bolibrukh. It contains two expository articles devoted to some aspects of Bolibrukh's work, followed by ten refereed research articles. Topics cover complex linear and nonlinear differential equations and quantum groups: monodromy, Fuchsian linear systems,...
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Boca Raton: CRC Press, 2015. — 663 p. "This book introduces numerical programming using Python and C/C++, emphasizing methods used in physics and engineering. Its helps readers develop the ability to navigate relevant algorithms, knowledge of coding design, and efficient scientific programming skills. It requires minimal background in mathematics, leading readers from elementary...
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Shaharyah Publishers, 2013. — 406 p. The goal of this edition remains the same as the previous ones - to give a comprehensive and state-of-the-art treatment of all important aspects of the subject. The book comes with a straight forward and easy to understand computer programs written in C++.
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New York: Springer, 2017. — 364 p. This book presents the first “How To” guide to the use of radial basis functions (RBF). It provides a clear vision of their potential, an overview of ready-for-use computational tools and precise guidelines to implement new engineering applications of RBF. Radial basis functions (RBF) are a mathematical tool mature enough for useful engineering...
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Philadelphia: SIAM, 2012. - 261p. This concise and comprehensive treatment of the basic theory of algebraic Riccati equations describes the classical as well as the more advanced algorithms for their solution in a manner that is accessible to both practitioners and scholars. It is the first book in which nonsymmetric algebraic Riccati equations are treated in a clear and...
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Springer, 2008. — 366 pages. ISBN: 3540689354 This collection covers advances in automatic differentiation theory and practice. Computer scientists and mathematicians will learn about recent developments in automatic differentiation theory as well as mechanisms for the construction of robust and powerful automatic differentiation tools. Computational scientists and engineers...
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CRC Press, 2016. — 230 p. — ISBN: 9781482263442 Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical Systems A Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already...
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Springer, 2012. - 293 p. This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for...
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Springer, 2018. — 753 p. — ISBN 3319705652. This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016. The goal of the program was...
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Oxford: Oxford University Press, 2010. - 775p. Монография посвящена методам решения нелинейных эллиптических уравнений в частных производных. В первой части даётся сводка аналитических результатов, касающихся уравнений этого типа, вторая часть посвящена численным методом, рассматривая метод конечных элементов, метод Галёркина, метод конечных разностей, вейвлетные методы....
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Springer, 1984. — 246 p. Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton's method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and...
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Springer, 2007. 802p. ISSN 1439-7382 Monographs in Mathematics. This series publishes advanced monographs giving well-written presentations of the state-of-the-art in fields of mathematical research that have acquired the maturity needed for such a treatment. They are suf-ficiently self-contained to be accessible to more than just the intimate specialists of the subject, and...
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Cambridge University Press, 2009. — 261 pages. ISBN: 1108000924. Self-taught mathematician and father of Boolean algebra, George Boole (1815-1864) published A Treatise on the Calculus of Finite Differences in 1860 as a sequel to his Treatise on Differential Equations (1859). Both books became instant classics that were used as textbooks for many years and eventually became...
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European Mathematical Society, 2010. — 442 p. — (EMS Tracts in Mathematics 14). — ISBN 3037190914. Hierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense Hn\times n$ matrix in standard representation requires Hn2 units of storage, a...
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Society for Industrial & Applied Mathematics,U.S., 2017. — 397 p. — (Computational Science & Engineering). — ISBN 9781611974836. This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schrodinger picture, and the...
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Singapore: Springer, 2019. — 478 p. — (Forum for Interdisciplinary Mathematics). — ISBN 9789811371134. This book systematically classifies the mathematical formalisms of computational models that are required for solving problems in mathematics, engineering and various other disciplines. It also provides numerical methods for solving these problems using suitable algorithms and...
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Springer, 2006. — 374 p. This volume celebrates the first decade of the Computer Algebra system Magma. With a design based on the ontology and semantics of algebra, Magma enables users to rapidly formulate and perform calculations in the more abstract parts of mathematics. This book introduces the reader to the role Magma plays in advanced mathematical research through 14 case...
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Philadelphia: SIAM, 2014. - 446p. Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute - not always needed, but indispensible when it is. The author s goal is to teach the art of finding the root...
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Springer, 2007. — 375 p. Propositional Logic. First-Order Logic. First-Order Theories. Program Correctness: Mechanics. Program Correctness: Strategies. Quantified Linear Arithmetic. Quantifier-Free Linear Arithmetic. Quantifier-Free Equality and Data Structures. Combining Decision Procedures. Arrays. Invariant Generation.
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WIT Press, 2010. - 336 pages. This book contains the papers presented at the Thirty-Second International Conference Boundary Elements and Other Mesh Reduction Methods, being held September 7-9 in The New Forest, UK. This annual conference is the latest in a successful series that began in 1982. The conference provides a platform for engineering professionals to share advances...
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WIT Press, 2006. - 360 pages. This book contains the edited proceedings of the 28th World Conference on Boundary Elements, an internationally recognized forum for the dissemination of the latest advances on Mesh Reduction Techniques and their applications in sciences and engineering. The book publishes articles dealing with computational issues and software developments in...
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WIT Press, 2007. - 352 pages. The International Conference on Boundary Element and other Mesh Reduction Methods is now in its 29th year. The papers presented at the conference are contained in this volume. The continued success of this important meeting is due to the strength of the work carried out by the community since the original conference took place in Southampton in...
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Pristina, Kosovo, Serbia, 2016. — 48 p. The aims of these lecture notes are the following: We introduce Euler numerical schemes, and prove existence and uniqueness of solutions of ODEs passing to the limit in a discretized version. We provide a general theory of one-step integrators, based on the notions of stability and consistency. We propose some procedures which lead to...
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Englewood Cliffs, New Jersey: Prentice-Hall, 1973. — 195 p. — ISBN 0-13-022335-2. This monograph describes and analyzes some practical methods for finding approximate zeros and minima of functions, using only function (not derivative) evaluations. Contents include: The use of successive interpolation for finding simple zeros of a function and its derivatives. An algorithm with...
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Cambridge University Press, 2010. - 236 pages. Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special...
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  • 1,36 МБ
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North Holland, 1997. - 408 pages. The solutions of systems of linear and nonlinear equations occurs in many situations and is therefore a question of major interest. Advances in computer technology has made it now possible to consider systems exceeding several hundred thousands of equations. However, there is a crucial need for more efficient algorithms. The main focus of...
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Springer Science+Business Media, New York, 2014. — 700 p. — (ContemporaryMathematicians) — ISBN 978-1-4614-7033-5. Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in...
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  • 31,11 МБ
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Springer Science+Business Media, New York, 2014. — 912 p. — (ContemporaryMathematicians) — ISBN 978-1-4614-7048-9. Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in...
  • №101
  • 91,61 МБ
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Springer Science+Business Media, New York, 2014. — 770 p. — (ContemporaryMathematicians) — ISBN 978-1-4614-7048-9. Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in...
  • №102
  • 47,05 МБ
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Elsevier science publishers B.V., 1991 The aim of this book is twofold. First it is a self-contained and, as much as possible, exhaustive exposition of the theory of extrapolation methods and of the various algorithms and procedures for accelerating the convergence of scalar and vector sequences. Our second aim is to convince people working with sequences to use extrapolation...
  • №103
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Springer, 2003. — 980 p. Scientific computing is a fast growing and fast changing area whose applications to various branches of science, engineering, medicine, economics (and others) are increasing in number and relevance every day. There are two main reasons (among others) that make scientific computing change so rapidly. One is the increasing number of different research...
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Springer, 2012. — 400 pages. ISBN: 8847025915 This volume is a selection of contributions offered by friends, collaborators, past students in memory of Enrico Magenes. The first part gives a wide historical perspective of Magenes' work in his 50-year mathematical career; the second part contains original research papers, and shows how ideas, methods, and techniques introduced...
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Elsevier Inc. , 2010, 306 p. It is the first text that in addition to standard convergence theory treats other necessary ingredients for successful numerical simulations of physical systems encountered by every practitioner. The book is aimed at users with interests ranging from application modeling to numerical analysis and scientific software development. It is strongly...
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2nd Edition. — Cambridge University Press, 2013. — 516 p. — (Cambridge Studies in Advanced Mathematics 136) — ISBN 978-0-521-51363-0. One can take the view that local cohomology is an algebraic child of geometric parents. J.-P. Serre’s fundamental paper ‘Faisceaux alg´ebriques coh´erents’ [77] represents a cornerstone of the development of cohomology as a tool in algebraic...
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N.-Y.: Springer, 2015. - 63p. This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(A) and SysPolSat(A), in which equations are built out of terms or polynomials, respectively. The book characterizes those algebras for which SysPolSat...
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Bronstein A.M., Bronstein M.M., Kimmel R. Springer, 2010. - 340 p. - ISBN-10: 144192518X Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing...
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Издательство Springer, 2005, -342 pp. This book brings together two streams of research in mathematics and computing that were begun in the nineteenth century and made possible through results brought to fruition in the twentieth century. Methods for indefinite integration have been important ever since the invention of the calculus in the 1700s. In the 1800s Abel and...
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Springer, 1998. — 291 p. Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, the Buchberger...
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Springer-Verlag Berlin, 2006, 482 pages This book surveys the major topics that are essential to high-performance simulation on parallel computers or computational clusters. These topics, including programming models, load balancing, mesh generation, efficient numerical solvers, and scientific software, are vital ingredients in the research fields of computer science,...
  • №112
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Boca Raton: CRC Press, 2015. - 238p. Line Integral Methods for Conservative Problems explains the numerical solution of differential equations within the framework of geometric integration, a branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties of the continuous vector field. The book focuses on a...
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Cambridge University Press 2004, 271 c. Introduction Radial basis functions Applications Contents of the book Summary of methods and applications Invertibility of interpolation matrices Convergence analysis Interpolation and convergence Applications to PDEs General methods for approximation and interpolation Polynomial schemes Piecewise polynomials...
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London: World Scientific, 2016. — 204 p. This book is a guide to advanced techniques used widely in applied mathematical sciences research. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in techniques such as practical...
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World Scientific Publishing, 2010. - 240 pages. ISBN: 981283625X The 1947 paper by John von Neumann and Herman Goldstine, Numerical Inverting of Matrices of High Order (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of...
  • №116
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North-Holland, 1997. — 448 p. Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal...
  • №117
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Springer, 2016. — 557 p. — (Lecture Notes in Computational Science and Engineering). — ISBN 10 3319405268. — ISBN 13 978-3319405261. The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards...
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9th edition. — Brook Cole, 2010. — xiv, 877 p. — ISBN 978-0-538-73351-9. This well-respected text gives an introduction to the theory and application of modern numerical approximation techniques for students taking a one- or two-semester course in numerical analysis. With an accessible treatment that only requires a calculus prerequisite, Burden and Faires explain how, why, and...
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Springer, 2013. — 567 p. — (Grundlehren der mathematischen Wissenschaften 349). — ISBN 978-3-642-38895-8. This book gathers threads that have evolved across different mathematical disciplines into seamless narrative. It deals with condition as a main aspect in the understanding of the performance ---regarding both stability and complexity--- of numerical algorithms. While the role...
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John Wiley & Sons, 2008. — 463 p. Authored by one of the world’s leading authorities on numerical methods this update of one of the standard references on numerical analysis, outlines recent developments in the field and presenting a detailed overview of the area. The only book to provide both a detailed treatment of Runge-Kutta methods and a thorough exposition of general...
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A K Peters, 2007. — 400 pages. ISBN: 1568813422 Applied Iterative Methods is a self-contained treatise suitable as both a reference and a graduate-level textbook in the area of iterative algorithms. It is the first book to combine subjects such as optimization, convex analysis, and approximation theory and organize them around a detailed and mathematically sound treatment of...
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Cambridge University Press, Cambridge, 2013. — 464 p. — ISBN 978-1-107-02105-1. A unique and comprehensive graduate text and reference on numerical methods for electromagnetic phenomena, from atomistic to continuum scales, in biology, optical-to-micro waves, photonics, nano-electronics, and plasmas. The state-of-the-art numerical methods described include: • Statistical...
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Springer, 2013. — 810 p. Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011. The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and...
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Sydney: Magma (computer Algebra, Version 2.19, April 24), 2013. — 5488 (cxxxiv+5291+lxiii) p. Interactive menu. Preface. The computer algebra system Magma is designed to provide a software environment for computing with the structures which arise in areas such as algebra, number theory, algebraic geometry and (algebraic) combinatorics. Magma enables users to define and to...
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Springer, 2003. — 173 p. Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 9-15, 2001. This volume aims to disseminate a number of new ideas that have emerged in the last few years in the field of numerical simulation, all bearing the common denominator of the "multiscale" or "multilevel" paradigm. This covers the presence of multiple relevant...
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Springer-Verlag, Berlin-Heidelberg, 2006. 563 pages. Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods...
  • №127
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Springer-Verlag, Berlin, 2007, 596 pages Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the...
  • №128
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N.-Y.: Springer, 2015. - 422p. This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal...
  • №129
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Société Mathématique de France, 2016. — 184 p. — (Astérisque 378). — ISBN 2856298354. Since the braid group and the mapping class group were defined in the first half of the last century, mathematicians have atempted, in vain, to compute the endomorphisms for both. In addition, each partial result in this direction has seemed to confirm a tight connection between the braid group...
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Boca Raton: CRC Press, 2013. - 260p. To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based on the...
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Ventus Publishing ApS, 2011. - 82 pages. ISBN: 9788776818821 This book will be useful to scientists and engineers who want a simple introduction to the finite volume method. A series of computer codes are given on the companion website along with worked solutions to exercises. This book is a companion text to 'Introductory Finite Difference Methods for PDEs'.
  • №132
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Springer, 2019. — 332 p. — (Advances in Mathematics Education). — ISBN 3030044319. In the book, the relationship between affect and modeling is discussed because, as educational psychologists have suggested for decades, affect directly influences achievement. Moreover, given the importance of mathematical modeling and the applications to high level mathematics, it provides the...
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Society for Industrial and Applied Mathematics, 2009, -124 pp. In this book, we introduce current developments and applications in using iterative methods for solving Toeplitz systems. Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, for instance, numerical partial and ordinary differential equations; numerical solution...
  • №134
  • 575,45 КБ
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N.-Y.: Cc Grow Hill, 2014. - 992p. The seventh edition of Chapra and Canale's Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation Each part closes with an Epilogue containing Trade-Offs,...
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6th ed. — McGraw-Hill Primis, 2009. — 970 p. Instructors love Numerical Methods for Engineers because it makes teaching easy! Students love it because it is written for them-with clear explanations and examples throughout. The text features a broad array of applications that span all engineering disciplines. The sixth edition retains the successful instructional techniques of...
  • №136
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Fourth Edition. — McGraw-Hill, 2017. — ISBN 978-0-07-339796-2. Applied Numerical Methods with MATLAB is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight...
  • №137
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5th edition. — McGraw-Hill, 2006. — 926 p. Applications continues its tradition of excellence. The revision retains the successful pedagogy of the prior editions. Chapra and Canale's unique approach opens each part of the text with sections called Motivation, Mathematical Background, and Orientation, preparing the student for what is to come in a motivating and engaging manner....
  • №138
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SIAM, 2012. — 429 p. — ISBN: 9781611972450 This revised edition of a classic textbook provides a complete guide to the calculation of eigenvalues of matrices. Written at an accessible level, this modern exposition of the subject presents fundamental aspects of the spectral theory of linear operators in finite dimension. Unique features of this book include a treatment of the...
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World Scientific, 2012. — 600 pages. ISBN: 981432292X High technology industries are in desperate need for adequate tools to assess the validity of simulations produced by ever faster computers for perennial unstable problems. In order to meet these industrial expectations, applied mathematicians are facing a formidable challenge summarized by these words - nonlinearity and...
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N.-Y.: CRC Press, 2015. - 213p. The principles of wavelets can be applied to a range of problems in civil engineering structures, such as earthquake induced vibration analysis, bridge vibrations, and damage identification. This book is particularly useful for graduate students and researchers in vibration analysis, especially those dealing with random vibrations. The book...
  • №141
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Atlantis Press, 2010. - 744 pages. Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary...
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Springer, 2016. — 273 p. Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry. This volume presents original research contributed to the 3rd Annual International Conference on Computational Mathematics and Computational Geometry (CMCGS 2014), organized and administered by Global Science and Technology Forum (GSTF). Computational...
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Singapore: World Scientific, 1997. — 353 p. — (Series in Approximations and Decompositions 9). This book offers an elementary and self-contained introduction to many fundamental issues concerning approximate solutions of operator equations formulated in an abstract Banach space setting, including important topics such as solvability, computational schemes, convergence stability...
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Brooks/Cole, 2007. — 784 pages. Authors show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting,...
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ISTE Press - Elsevier, 2018. — 322 p. — ISBN 978-1-78548-231-1. This book explores the use of Lie groups in the kinematics and dynamics of rigid body systems. The first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean displacement groups. Chapters 2 and 3 show the specific algebraic properties of the displacement group, explaining why...
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New York: Springer, 2014. — 127 p. Many problems in scientific computing are intractable with classical numerical techniques. These fail, for example, in the solution of high-dimensional models due to the exponential increase of the number of degrees of freedom. Recently, the authors of this book and their collaborators have developed a novel technique, called Proper...
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Oxford University Press, USA, 2005. - 406 pages. Inverse eigenvalue problems arise in a remarkable variety of applications and associated with any inverse eigenvalue problem are two fundamental questions-the theoretic issue on solvability and the practical issue on computability. Both questions are difficult and challenging. In this text, the authors discuss the fundamental...
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Cambridge, New York, Melbourne, Madrid, Cape Town,Singapore, S˜ao Paulo, Delhi, Mexico City: Cambridge University Press, 2013. 897 p. — ISBN 978-1-107-00412-2 (hardback). Based on course notes from over twenty years of teaching engineering and physical sciences at Michigan Technological University, Tomas Co's engineering mathematics textbook is rich with examples, applications,...
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Springer International Publishing AG, 2017. — 629 p. — (Progress in Mathematics 323) — ISBN 3319597272. This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion...
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Elsevier: 2003. - 336 p. The objectives of this book are to survey the theoretical results that are involved in the numerical analysis of wavelet methods, and more generally of multiscale decomposition methods, for numerical simulation problems, and to provide the most relevant examples of such mathematical tools in this particular context. Content: Basic examples...
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Springer, 2011. - 498 pages. This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques that are now formally collected as well as original methods developed by the author that do not appear in the...
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AK Peters, 2003. — 470 p. Mathematica, Maple, and similar software packages provide programs that carry out sophisticated mathematical operations. Applying the ideas introduced in Computer Algebra and Symbolic Computation: Elementary Algorithms, this book explores the application of algorithms to such methods as automatic simplification, polynomial decomposition, and polynomial...
  • №153
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George W. Collins, II, 2003. - 284 pages. * Contents and Introduction * Chapter 1: Introduction and Fundamental Concepts * Chapter 2: The Numerical Methods for Linear Equations and Matrices * Chapter 3: Polynomial Approximation, Interpolation, and Orthogonal Polynomials * Chapter 4: Numerical Evaluation of Derivatives and Integrals * Chapter 5: Numerical Solution of...
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This Data Item presents families of curve shapes and algebraic functions as an aid to the effective representation of experimental, numerical and graphical data by the selection of suitable such functions.
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Springer, 2016. — 232 p. — ISBN-10: 3319263072 ​Presents and explains a general, efficient, and elegant method of a solution for boundary value problems for an elliptic system of partial differential equations Shows in detail a methodology for constructing a boundary integral equation method (BIEM), and all the attending mathematical properties are derived with full rigor...
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Springer, 2019. — 476 p. — ISBN 978-3-030-16076-0. This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on talks given at the Fifteenth International Conference on Integral Methods in...
  • №157
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Birkhäuser Boston, 2005. - 329 pages. The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed...
  • №158
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Birkhäuser Boston, 2008. — 298 pages. The physical world is studied by means of mathematical models, which consist of differential, integral, and integro-differential equations accompanied by a large assortment of initial and boundary conditions. In certain circumstances, such models yield exact analytic solutions. When they do not, they are solved numerically by means of...
  • №159
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Birkhäuser Boston, 2009. — 372 p. Integral Methods in Science and Engineering, Volumes 1 and 2 are useful references for a broad audience of professionals, including pure and applied mathematicians, physicists, biologists, and mechanical, civil, and electrical engineers, as well as graduate students, who use integration as a fundamental technique in their research.
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Birkhäuser, Boston, Berlin, Basel, 2010. XVI, 349 p. — ISBN 978-0-8176-4898-5, e-ISBN 978-0-8176-4899-2. The two volumes contain 65 chapters, which are based on talks presented by reputable researchers in the field at the Tenth International Conference on Integral Methods in Science and Engineering. The chapters address a wide variety of methodologies, from the construction of...
  • №161
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3rd ed. — McGraw-Hill College, 1980. — 445 p. — ISBN: 0070124477, 9780070124479 This is old but good. It has a similar concept to "Numerical Recipes" by Press, et. al. but covers less ground, and at a more elementary level. Contrary to another reviewer, it does give plenty of examples at an elementary level, which I find quite helpful. That is an advantage sometimes if you...
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Library of Congress Cataloging in Publication Data Conte, Samuel Daniel, date Elementary numerical analysis. (International series in pure and applied mathematics) Includes index. 1. Numerical analysis-Data processing. I. de Boor, Carl, joint author. II. Title. QA 297.C65 1980 This is the third edition of a book on elementary numerical analysis which is designed specifically...
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New York: Springer, 2016. - 624p. This book presents the refereed proceedings of the Eleventh International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing that was held at the University of Leuven (Belgium) in April 2014. These biennial conferences are major events for Monte Carlo and quasi-Monte Carlo researchers. The proceedings include...
  • №164
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Springer, 2008. — 551 p. In recent years, classical computability has expanded beyond its original scope to address issues related to computability and complexity in algebra, analysis, and physics. The deep interconnection between "computation" and "proof" has originated much of the most significant work in constructive mathematics and mathematical logic of the last 70 years....
  • №165
  • 4,90 МБ
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European Mathematical Society, 2005. - 368 pages. Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the Summer Mathematical Research Center on Scientific Computing and its Applications (CEMRACS), held at the Center of International Research in Mathematics (CIRM) in Luminy, was devoted to this topic. During a six-week period,...
  • №166
  • 18,47 МБ
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Springer, 2013. — 894 p. 194 illus., 10 illus. in color. — ISBN: 9781461484530 This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the...
  • №167
  • 9,79 МБ
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Boca Raton, USA: CRC Press, Taylor & Francis Group, 2013. — 496. — (CHAPMAN & HALL/CRC: Numerical Analysis and Scientific Computing). — ISBN 1466571624. Many of today's complex scientific applications now require a vast amount of computational power. General purpose graphics processing units (GPGPUs) enable researchers in a variety of fields to benefit from the computational power...
  • №168
  • 9,72 МБ
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Lawrence: CMP Books, 2000. - 466 p. - ISBN 978-1929629091. Язык: English. About the Author. Jack Crenshaw holds a Ph.D. in physics from Auburn University (specialties in math, electronics, and advanced dynamics). He wrote his first computer program in 1956 and his first icrocomputer software a real-time, floating-point, Kalman filter-driven controller in 1976. He has been...
  • №169
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Elsevier, 2003. — 472 p. Series Handbook of Numerical Analysis. Ciarlet P.G. (Ed.) Volume XI. Contents of Volume XI SPECIAL VOLUME: FOUNDATIONS OF COMPUTATIONAL MATHEMATICS GENERAL PREFACE On the Foundations of ComputationalMathematics, B.J.C. Baxter, A. Iserles Geometric Integration and its Applications, C.J. Budd, M.D. Piggott Linear Programming and Condition Numbers...
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Second Edition. — Academic Press, 2017. — 283 p. — ISBN: 978-0-12-811129-1. This book, Second Edition is designed to be a comprehensive reference for the use of Boolean functions in modern cryptography. While the vast majority of research on cryptographic Boolean functions has been achieved since the 1970s, when cryptography began to be widely used in everyday transactions, in...
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  • 3,00 МБ
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Elsevier, 2009. — 245 p. — ISBN: 978-0-1237-4890-4. Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are used in cryptography. Currently, practitioners who need to apply Boolean functions in the design of cryptographic algorithms and protocols need to patch together needed information from a variety of resources (books,...
  • №172
  • 2,31 МБ
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North-Holland, 1987. — 282 p. Most textbooks on Numerical Analysis discuss linear techniques for the solution o various numerical problems. 01ily a small number of books introduce and illustrate nonlinear methods. This book accumulates several nonlinear techniques mainly resulting from the use of Pade approximants and rational interpolants. First these types of rational...
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Basel: Birkhäuser, 1997. - 400p. The main feature of this text is the discussion on how modern concepts in computer science can be applied in order to develop scientific software that is easier to extend, maintain and use than the more traditional counterparts. In addition, models and methods for challenging problems in industrial mathematics ranging from multiphase flow...
  • №174
  • 13,44 МБ
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Springer-Verlag Berlin, 2008, 292 pages. The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. In particular, mathematically justified algorithms and methods, the mathematical analysis of these...
  • №175
  • 8,14 МБ
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Mineola: Dover Publications. – 2003. – 594 p. — (Dover Books on Mathematics). This book is an extended and updated translation of a textbook published in Swedish by the CWK Gleerup Co. in 1969. Prerequisites for most of the book are sophomore courses in mathematics (in particular calculus and linear algebra) as well as some knowledge of a problem-oriented programming language....
  • №176
  • 54,72 МБ
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Society for Industrial Mathematics, 2008. - 475 pages. This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely...
  • №177
  • 2,94 МБ
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Warszawa: W Drukarni Noskowskiego, 1904. — 206 s. Klasyczna metoda najmniejszych kwadratów.
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Springer, 2000. — 731 p. In the first years of the 1970's Robert Dautray engaged in conversations with Jacques Yvon, High-Commissioner of Atomic energy, of the necessity of publish­ing mathematical works of the highest level to put at the disposal of the scientific community a synthesis of the modern methods of calculating physical phe­nomena. It is necessary to get away from the...
  • №179
  • 80,29 МБ
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Springer, 2000. — 549 p. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these...
  • №180
  • 18,83 МБ
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Springer, 2000. — 500 p. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these...
  • №181
  • 10,20 МБ
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Springer, 2000. — 754 p. This volume and Vol. 6 form the third part of a coherent work which we intend to be useful to engineers, physicists, chemists(l), etc ... who need a method to solve their stationary or evolutionary problems.
  • №182
  • 14,97 МБ
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Academic Press, 1988. — 313 p. This book still remains the best introduction to computer algebra, catering to both the interested beginner and the experienced pure mathematician and computer scientist. This updated Second Edition provides a comprehensive review, and contains excellent references to fundamental papers and worked examples. In addition to being a general text on the...
  • №183
  • 1,07 МБ
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Second Edition. — New York: Elsevier Inc, Academic Press, 1984. — 618 p. This book presents what we think are the major methods of numerical integration. We have tried to produce a balanced work that is both useful to the programmer and stimulating to the theoretician. There are portions of the book where deep results of analysis are derived or are alluded to; yet, it has been our...
  • №184
  • 23,23 МБ
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Saarbrücken: LAP LAMBERT Academic Publishing, 2011. - 128p. Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The...
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Springer, 2001 – 348 p. - This book is based on the author's experience with calculations involving polynomial splines. It presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines. After two chapters summarizing polynomial approximation, a rigorous discussion of elementary spline...
  • №186
  • 3,73 МБ
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North-Holland Publishing, 1958. — 200 pages. ISBN: 0486642216 Original, effective approach teaches by explaining worked examples in detail. "Every step in the mathematical process is explained, its purpose and necessity made clear . the reader not only has no difficulty in following the rigorous proofs, but even turns to them with eager expectation.
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  • 32,29 МБ
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Cambridge University Press, UK, 2008. — 201 p. — Cambridge Studies in Advanced Mathematics 115) — ISBN 0521888611. Detailing the very latest research, this self-contained book discusses the major mathematical tools necessary for the study of complex dynamics at an advanced level. Complete proofs of some of the major tools are presented; some, such as the Bers-Royden theorem on...
  • №188
  • 1,11 МБ
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N.-Y.: Springer, 2015. - 136p. This book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are...
  • №189
  • 1,74 МБ
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New York: ISTE/Wiley, 2016. — 280 p. Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little...
  • №190
  • 9,44 МБ
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Oxford, UK: Alpha Science International LTD, 2016. — 455 p. — ISBN 1783322659. Calculus and Differential Equtions with MATLAB presents a clear, easy-to-understand on how to use MATLAB to solve calculus and differential equation problems. The book contains eleven chapters with essential materials that are taught in calculus and differential equation courses. These include: *...
  • №191
  • 4,69 МБ
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European Mathematical Society, 2015. — 710 p. — (EMS Tracts in Mathematics 22) — ISBN: 3037191392 This text is a monograph on algebra, with connections to geometry and low-dimensional topology. It mainly involves groups, monoids, and categories, and aims to provide a unified treatment for those situations in which one can find distinguished decompositions by iteratively...
  • №192
  • 6,50 МБ
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World Scientific Publishing, 2019. — 295 p. — ISBN 9813142200. The aim of this book is to extend the application field of 'anomalous diffusion', and describe the newly built models and the simulation techniques to the models.The book first introduces 'anomalous diffusion' from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and...
  • №193
  • 5,67 МБ
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2nd Ed. — Springer, 2015. — 366 p. — (Encyclopaedia of Mathematical Sciences 130) — ISBN: 978-3-662-48422-7, 978-3-662-48420-3. This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built....
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  • 4,54 МБ
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Department of Mathematics University of Pennsylvania, 2002. - 124 pages. Differential and Difference Equations . Introduction. Linear equations with constant coefficients. Difference equations. Computing with difference equations. Stability theory. Stability theory of difference equations. The Numerical Solution of Differential Equations . Euler's method. Software...
  • №195
  • 632,37 КБ
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Springer-Verlag Berlin Heidelberg, 2011. — 440 p. This book has two faces: the first one is that of a textbook addressing itself to graduate students of mathematics and computational sciences, the second one is that of a research monograph addressing itself to numerical analysts and computational scientists working on the subject. As a textbook, selected chapters may be...
  • №196
  • 3,31 МБ
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Springer, 2002. — 504 pages. — ISBN-10: 0387954627, 1441930116 This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. This book strictly presents numerical analysis as a part of the more general field of scientific computing. Important algorithmic concepts are explained...
  • №197
  • 12,35 МБ
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New York: Springer, 2003. - 349 p. This introductory book directs the reader to a selection of useful elementary numerical algorithms on a reasonably sound theoretical basis, built up within the text. The primary aim is to develop algorithmic thinking-emphasizing long-living computational concepts over fast changing software issues. The guiding principle is to explain modern...
  • №198
  • 8,05 МБ
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De Gruyter, 2012. - 450 Pages. ISBN: 3110283107 Numerical mathematics is a subtopic of scientific computing. The focus lies on the efficiency of algorithms, i.e. speed, reliability, and robustness. This leads to adaptive algorithms. The theoretical derivation und analyses of algorithms are kept as elementary as possible in this book; the needed sligtly advanced mathematical...
  • №199
  • 3,49 МБ
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New York: Springer, 1998. — 456 p. Complex function theory and linear algebra provide much of the basic mathematics needed by engineers engaged in numerical computations, signal processing or control. The transfer function of a linear time invariant system is a function of the complex vari­ able s or z and it is analytic in a large part of the complex plane. Many important prop­...
  • №200
  • 12,68 МБ
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Unpublished, 2013. — 388 p. This book is assembled from lectures given by the author over a period of 10 years at the School of Computing of DePaul University. The lectures cover multiple classes, including Analysis and Design of Algorithms, Scientific Computing, Monte Carlo Simulations, and Parallel Algorithms. These lectures teach the core knowledge required by any scientist...
  • №201
  • 3,42 МБ
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Springer, 2000. — 305 p. Proceedings of the Sixth European Multigrid Conference Held in Gent, Belgium, September 27–30, 1999
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New York: Springer, 2018. — 1329 p. This book is a tribute to Professor Ian Hugh Sloan on the occasion of his 80th birthday. It consists of nearly 60 articles written by international leaders in a diverse range of areas in contemporary computational mathematics. These papers highlight the impact and many achievements of Professor Sloan in his distinguished academic career. The...
  • №203
  • 23,78 МБ
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N.-Y.: Springer, 2005. - 436p. Коллективная монография посвящена методам решения полиномиальных уравнений и систем полиномиальных уравнений, алгебраическим и теоретико-числовым основам этих методов, алгоритмам решения, их сложности и приложениям к различным задачам, в том числе геометрическим. Для изучающих методы решения полиномиальных уравнений и их приложения.
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Springer, 2011. 512 p. ISBN:3642184650 7th International Conference, NMA 2010, August 20-24, Borovets, Bulgaria This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited...
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  • 10,87 МБ
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Master. France, 2015. — 297 p. The purpose of this text is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDE). The presentation is kept as much as possible at an elementary level with a special focus on the definitions of these methods in terms both of PDEs and of the sparse matrices arising from their discretizations. We...
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  • 6,06 МБ
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Master. France, 2015. — 296 p. The purpose of this text is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDE). The presentation is kept as much as possible at an elementary level with a special focus on the definitions of these methods in terms both of PDEs and of the sparse matrices arising from their discretizations....
  • №207
  • 5,35 МБ
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Springer, 2015. — 572 p. — (Springer Series in Computational Mathematics, 48). — ISBN-10: 3319192663. Link between mathematical theory and practical solution of complicated systems of partial differential equations. The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of...
  • №208
  • 25,30 МБ
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Chapman and Hall Book/CRC, 2010. - 344 pages. Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A...
  • №209
  • 1,90 МБ
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Издательство Morgan Kaufmann, 2007, -622 pp. Geometric algebra is a powerful and practical framework for the representation and solution of geometrical problems. We believe it to be eminently suitable to those subfields of computer science in which such issues occur: computer graphics, robotics, and computer vision. We wrote this book to explain the basic structure of geometric...
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  • 5,75 МБ
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Книги по программированию вычислений и вычислительным алгоритмам из серии Dr. Dobb’s Essential Books Fundamentals of Numerical Computing, by L. F. Shampine, R.C. Allen, S. Pruess Computing for Scientists and Engineers, by William J. Thompson Accuracy and Stability of Numerical Algorithms, by Nicholas J. Higham Numerical Methods for Real-time and Embedded Systems, by Don...
  • №211
  • 24,76 МБ
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Birkhauser Basel, 2004. — 556 p. — ISBN 978-3-0348-9620-7. Common Intervals of Permutations Overpartitions and Generating Functions for Generalized Frobenius Partitions Enumerative Results on Integer Partitions Using the ECO Method 321-Avoiding Permutations and Chebyshev Polynomials Iterated Logarithm Laws and the Cycle Lengths of a Random Permutation Transcendence of Generating...
  • №212
  • 50,75 МБ
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Springer, 2018. — 511 p. This monograph presents the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and...
  • №213
  • 4,92 МБ
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Hoboken: Wiley, 2009. — 778 p. This is one of the first books that describe all the steps that are needed in order to analyze, design and implement Monte Carlo applications. It discusses the financial theory as well as the mathematical and numerical background that is needed to write flexible and efficient C++ code using state-of-the art design and system patterns,...
  • №214
  • 3,51 МБ
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Fourth Edition. — CRC, 2016. — 1180 p. — ISBN 978-1-4987-3964-1. Advanced Engineering Mathematics with MATLAB, Fourth Edition builds upon three successful previous editions. It is written for today s STEM (science, technology, engineering, and mathematics) student. Three assumptions under lie its structure: (1) All students need a firm grasp of the traditional disciplines of...
  • №215
  • 17,36 МБ
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New Age International, 2010. - 369 pages. This book is designed as an introductory undergraduate or graduate course for mathematics, science and engineering students of all disciplines. The text covers all major aspects of numerical methods, including numerical computations, matrices and linear system of equations, solution of algebraic and transcendental equations, finite...
  • №216
  • 1,87 МБ
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Elsevier, 2011. 398 p. ISBN:0444515755. Exploring Monte Carlo Methods presents the numerical methods that have come to be known as "Monte Carlo. " The book treats the subject generically using Buffon's needle problem to illustrate many features of Monte Carlo methods. The book is useful to anyone who wants to learn to use Monte Carlo and can be used as a self-study guide for...
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  • 6,19 МБ
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Springer, 2019. — 912 p. — ISBN 978-3-030-15241-3. This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will...
  • №218
  • 14,16 МБ
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Amsterdam: Walter de Gruyter, 2008. - 496p. A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstrass theorems, smoothness of functions, and continuation of functions.
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  • 2,00 МБ
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Boca Raton: CRC Press, 2016. - 297 p. The aim of this book is to equip biostatisticians and other quantitative scientists with the necessary skills, knowledge, and habits to collaborate effectively with clinicians in the healthcare field. The book provides valuable insight on where to look for information and material on sample size and statistical techniques commonly used in...
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Springer International Publishing AG, 2018. — 473 p. — ISBN 3319664557. This book provides an overview of different topics related to the theory of partial differential equations. Selected exercises are included at the end of each chapter to prepare readers for the "research project for beginners" proposed at the end of the book. It is a valuable resource for advanced graduates...
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3 ed. — Spektrum, 2017. — 515 s. — ISBN 978-3-662-54335-1. Das Lehrbuch bietet eine lebendige und anschauliche Einführung in die mathematische Modellierung von Phänomenen aus den Natur- und Ingenieurwissenschaften. Leser lernen, mathematische Modelle zu verstehen und selbst herzuleiten und finden eine Fülle von Beispielen, u. a. aus den Bereichen chemische Reaktionskinetik,...
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Cambridge University Press 2001, 177 p. ISBN-13 978-0-521-79309-4 The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The original motivation for these topics was the difficulty faced (both conceptually and in technical execution) in any attempt to combine elements of combinatorial and numerical...
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  • 1,01 МБ
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Hoboken: Wiley, 2015. - 286p. Uses mathematical, numerical, and programming tools to solve differential equations for physical phenomena and engineering problems Introduction to Computation and Modeling for Differential Equations, Second Edition features the essential principles and applications of problem solving across disciplines such as engineering, physics, and chemistry....
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Springer, 2014. — 404 p. The book belongs to the area of theoretical and computational Linear Algebra. It is a self-contained monograph which has the structure of a graduate text. The main material was developed the last 30–40 years and is presented here following the lines and principles of a course in Linear Algebra. The book is based mostly on the relatively recent results...
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Springer, 2014. — 358 p. This book contains a systematic theoretical and computational study of several types of generalizations of separable matrices. It is related to semiseparable, quasiseparable, band and companion representations of matrices. For them their natural parameters, called generators, are analyzed and algorithms are expressed in terms of generators. In this volume...
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  • 2,53 МБ
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World Scientific Publishing, 2007. — 773 p. — ISBN: 9812706437 Proceedings of the International Conference: Munich, Germany 25-30, July 2005 This volume contains talks given at a joint meeting of three communities working in the fields of difference equations, special functions and applications (ISDE, OPSFA, and SIDE). The articles reflect the diversity of the topics in the...
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World Scientific Publishing Company, 2010. - 436 pages. These proceedings include articles based on talks presented at the 12th International Conference on dierence equations and applications (ICDEA07). The conference was held in Lisbon, July 23{27, 2007, under the auspices of the International Society of Dierence Equations (ISDE). This volume encompasses articles on a variety...
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  • 5,40 МБ
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Academic Press, 2010. - 192 pages. Computability Theory: An Introduction to Recursion Theory, provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is...
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Springer, 2015. — 1594 p. — ISBN: 3540705287, 9783540705284 EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of...
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  • 46,70 МБ
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Springer, 2007. - 372 pages. Modern computer algebra systems are revolutionizing the teaching and learning of mathematically intensive subjects in science and engineering, enabling students to explore increasingly complex and computationally intensive models that provide analytic solutions, animated numerical solutions, and complex two- and three-dimensional graphic displays....
  • №231
  • 4,72 МБ
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Wiley, 2013. — 614 p. — 2nd ed. — ISBN: 1118367596, 9781118367599 Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."— Zentralblatt MATH ". . . carefully structured with many detailed worked examples."— The Mathematical Gazette The...
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2nd Edition — Wiley, 2013. — 316 p. — ISBN: 978-1-118-39513-4 An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. This manual includes worked solutions for many (roughly 75%) of the problems in the text. For the computational exercises...
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The MIT Press, 2012. – 352 p. in color – ISBN: 0262017520, 9780262017527 Engineering Systems Design structure matrix (DSM) is a straightforward and flexible modeling technique that can be used for designing, developing, and managing complex systems. DSM offers network modeling tools that represent the elements of a system and their interactions, thereby highlighting the...
  • №234
  • 78,30 МБ
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Springer, 2013. - 139 pages. ISBN: 1461458072 This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two...
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  • 3,08 МБ
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Philadelphia: SIAM, 2011. — 133 p. This book describes and analyzes all available alternating projection methods for solving the general problem of finding a point in the intersection of several given sets belonging to a Hilbert space. For each method the authors describe and analyze convergence, speed of convergence, acceleration techniques, stopping criteria, and applications....
  • №236
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CRC Press, 2013. — 550 p. — ISBN: 1466585692 Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic, graphical, and numerical...
  • №237
  • 3,86 МБ
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1 Newton-Cotes Formula, 2 Gauss-Legendre Formula, 3 Multiple Integrals With a computer program issued with this Item, implements the adaptive quadrature method based on the standard Simpson’s Rule,
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  • 434,57 КБ
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Thomson Brooks/cole, 2003, 640 pp. , 3rd ed. This book emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. Readers learn why the numerical methods work, what type of errors to expect, and when an application might lead to difficulties. The authors also provide information about...
  • №239
  • 8,03 МБ
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Singapore: World SCientific, 2007. - 528p. Meshfree approximation methods are a relatively new area of research, and there are only a few books covering it at present. Whereas other works focus almost entirely on theoretical aspects or applications in the engineering field, this book provides the salient theoretical results needed for a basic understanding of meshfree...
  • №240
  • 15,52 МБ
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Springer, 2017. — 305 p. — ISBN 3319454196. This book illustrates recent advances in applications of partial order theory and Hasse diagram techniques to data analysis, mainly in the socio-economic and environmental sciences. For years, partial order theory has been considered a fundamental branch of mathematics of only theoretical interest. In recent years, its effectiveness as a...
  • №241
  • 6,16 МБ
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Hoboken: CRC Press, 2013. — 328 p. Preface About the Authors List of Figures List of Tables Computer Number Systems and Floating Point Arithmetic Finding Roots of Real Single-Valued Functions Solving Systems of Linear Equationsby Gaussian Elimination Polynomial Interpolation and Splines Fitting Numerical Differentiation and Integration Advanced Numerical Integration...
  • №242
  • 2,64 МБ
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Bookboon, 2014. — 333 p. — ISBN 978-87-403-0732-0. The book offers a deliberately simple introduction to boundary element methods applicable to a wide range of engineering problems. The mathematics are kept as simple as reasonably possible. Several boundary element computer programs, written in both Fortran and Matlab, suitable for use on desktops or laptops are presented and...
  • №243
  • 6,95 МБ
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Bookboon, 2014. — 193 p. — ISBN 978-87-403-0733-7. The book offers a deliberately simple introduction to boundary element methods applicable to a wide range of engineering problems. The mathematics are kept as simple as reasonably possible. Several boundary element computer programs, written in both Fortran and Matlab, suitable for use on desktops or laptops are presented and...
  • №244
  • 5,44 МБ
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Springer International Publishing AG, 2017. — 175 p. — (Frontiers in Mathematics) — ISBN 3319559753. This book shows the importance of studying semilocal convergence in iterative methods through Newton's method and addresses the most important aspects of the Kantorovich's theory including implicated studies. Kantorovich's theory for Newton's method used techniques of functional...
  • №245
  • 1,86 МБ
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Springer, 2009 - Mathematics - 305 pages. In recent years meshless/meshfree methods have gained considerable attention in engineering and applied mathematics. The variety of problems that are now being addressed by these techniques continues to expand and the quality of the results obtained demonstrates the effectiveness of many of the methods currently available. The book...
  • №246
  • 15,21 МБ
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Springer, 1999. — 722 pages. — Springer Series in Operations Research. This volume presents a comprehensive first course in the Monte Carlo method which will be suitable for graduate and undergraduate students in the mathematical sciences and engineering, principally in operations research, statistics, mathematics, and computer science. The reader is assumed to have a sound...
  • №247
  • 23,40 МБ
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Springer, 2010 - Mathematics - 248 pages. The book brings together state of the art papers in nonlinear PDEs with applications to: dynamical systems, CFD, computational mechanics, bio engineering, bio mathematics, medical applications, reduction models, optimal control, and mathematical finances. Contents. The Unconventional and Unexpected Path of a Mathematician. The...
  • №248
  • 4,42 МБ
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Mailand: Springer, 2012. — 435 p. This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University...
  • №249
  • 19,14 МБ
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Berlin: Walter de Gruyter, 2010. - 357 p. Sparsity has become an important concept in recent years in applied mathematics, especially in mathematical signal and image processing, in the numerical treatment of partial differential equations, and in inverse problems. The key idea is that many types of functions arising naturally in these contexts can be described by only a small...
  • №250
  • 3,26 МБ
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Addison-Wesley Publishing Company, 1969. — 443 p. The present text in numerical analysis was written primarily to meet the demand of elementary education in this field at universities and technical institutes. But it is also believed that the book will be useful as a handbook in connection with numerical work within natural and technical sciences. Compared with the first...
  • №251
  • 5,49 МБ
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New York: Addison-Welskey, 1985.— 434 p. Numerical Mathematics: Theory and Computer Applications is a completely revised, updated and restructured version of the second edition of Introduction to Numerical Analysis by the same author. This book is an invaluable reference for professions involved in many areas of applied mathematics. Senior undergraduate and graduate students will...
  • №252
  • 46,24 МБ
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Oakville: Arcler Press, 2018. — 315 p. Computing and random numbers examines various aspects of random numbers and variables including an extensive overview of Computing and random numbers. It includes Implementation of Hardware-Accelerated Scalable Parallel Random Number Generators, True-Randomness and Pseudo-Randomness in Ring Oscillator-Based True Random Number Generators,...
  • №253
  • 33,96 МБ
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Boca Raton: CRC Press, 2017. — 234 p. — ISBN 9781498758925. Iterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm’s and Broyden’s...
  • №254
  • 1,84 МБ
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Springer, 2005. — 513 p. 8th International Workshop, CASC 2005, Kalamata, Greece, September 12-16, 2005. Proceedings. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms, and software applied to scientific computing: algebraic methods for nonlinear polynomial equations and inequalities; symbolic-numeric methods for...
  • №255
  • 6,43 МБ
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Springer, 2006. — 322 p. 9th International Workshop, CASC 2006, Chişinău, Moldova, September 11-15, 2006. Proceedings. This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006. The book presents 25 revised full papers together with 2 invited papers, covering various expanding applications of computer...
  • №256
  • 4,72 МБ
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Springer, 2007. — 469 p. 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings. This book constitutes the refereed proceedings of the 10th International Workshop on Computer Algebra in Scientific Computing, CASC 2007, held in Bonn, Germany, in September 2007. The volume is dedicated to Professor Vladimir P. Gerdt on the occasion of his 60th...
  • №257
  • 16,26 МБ
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New York: John Wiley&sons, 1996. - 458p. Advances in computer technology have conveniently coincided with trends in numerical analysis toward increased complexity of computational algorithms based on finite difference methods. It is no longer feasible to perform stability investigation of these methods manually–and no longer necessary. As this book shows, modern computer...
  • №258
  • 9,23 МБ
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Springer, 2019. — 322 p. — (Lecture Notes in Computational Science and Engineering 131). — ISBN 978-3-030-23435-5. This volume presents a selection of papers presented at the 9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing celebrating the 150th anniversary of Georgy F. Voronoi (NUMGRID 2018/Voronoi 150), held on December 3–5, 2019, at...
  • №259
  • 23,89 МБ
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Springer, 2018. — 265 p. — (Lecture Notes in Computational Science and Engineering 123). — ISBN 3319754254. Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume...
  • №260
  • 6,12 МБ
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CRC Press, 2012. — 325 p. — EISBN: 9781466506343 Computational science is an emerging area (or discipline) that includes concepts, principles, and methods from applied mathematics and algorithmic de- sign and computer programming; these are applied in various areas of sci- ence and engineering to solve large-scale scientific problems. A computational model is a computer...
  • №261
  • 2,67 МБ
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Chapman and Hall/CRC, 2013 — 461 p. Introduction to Computational Modeling Using C and Open-Source Tools presents the fundamental principles of computational models from a computer science perspective. It explains how to implement these models using the C programming language. The software tools used in the book include the Gnu Scientific Library (GSL), which is a free software...
  • №262
  • 8,06 МБ
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Cambridge University Press, 2009. — 249 p. This book contains the material used in our advanced course on Scientific Computation at the ETH (Eidgenossische Technische Hochschule), Zurich, Switzerland. This course is a third year course in the Department of Computer Science (Informatik). The material is presented in a non-traditional way by solving several, reasonably realistic...
  • №263
  • 2,40 МБ
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Spinger, 2011. - 611 pages. 2nd Edition Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles...
  • №264
  • 5,59 МБ
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N.-Y.: Springer, 2011. — 498 p. Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to renowned mathematician Gradimir V....
  • №265
  • 3,62 МБ
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Springer, 2011. - 538 pages. This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential...
  • №266
  • 2,02 МБ
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Prentice Hall, 1971. - 253 pages. The successful solution of a realistic problem in applied mathematics requires the fusion of four distinct ingredients: (1) knowledge of the subject area of the problem; (2) knowledge of the relevant mathematics; (3) knowledge of the relevant computer science; (4) a talent for selecting just what part of all this knowledge will actually solve...
  • №267
  • 6,24 МБ
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CRC, 2011. - 320 pages. Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations. In...
  • №268
  • 9,34 МБ
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Издательство Springer, 2009, -717 pp. This book began as a revision of Elements of Computational Statistics, published by Springer in 2002. That book covered computationally-intensive statistical methods from the perspective of statistical applications, rather than from the standpoint of statistical computing. Most of the students in my courses in computational statistics were...
  • №269
  • 6,16 МБ
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Springer, 2010. — 313 p. 12th International Workshop, CASC 2010, Tsakhadzor, Armenia, September 6-12, 2010, Proceedings. The CASC Workshops are traditionally held in turn in the Commonwealth of IndependentStates(CIS)andoutsideCIS(Germanyinparticular,but,attimes, also other countries with lively CA communities). The previous CASC Wo- shop was held in Japan, and the 12th workshop...
  • №270
  • 4,63 МБ
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Springer, 2011. — 368 p. 13th International Workshop, CASC 2011, Kassel, Germany, September 5-9, 2011. Proceedings. This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from...
  • №271
  • 4,43 МБ
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Springer, 2012. — 373 p. 14th International Workshop, CASC 2012, Maribor, Slovenia, September 3-6, 2012, Proceedings. This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2012, held in Maribor, Slovenia, in September 2012. The 28 full papers presented were carefully reviewed and selected for inclusion in this...
  • №272
  • 7,04 МБ
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Springer, 2013. — 457 p. 15th International Workshop, CASC 2013, Berlin, Germany, September 9-13, 2013, Proceedings. This book constitutes the proceedings of the 14th International Workshop on Computer Algebra in Scientific Computing, CASC 2013, held in Berlin, Germany, in September 2013. The 33 full papers presented were carefully reviewed and selected for inclusion in this book....
  • №273
  • 6,98 МБ
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Springer, 2014. — 515 p. 16th International Workshop, CASC 2014, Warsaw, Poland, September 8-12, 2014. Proceedings. This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014. The 33 full papers presented were carefully reviewed and selected for inclusion in this book....
  • №274
  • 13,90 МБ
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Springer, 2015. — 508 p. 17th International Workshop, CASC 2015, Aachen, Germany, September 14-18, 2015, Proceedings. This book constitutes the proceedings of the 17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015, held in Aachen, Germany, in September 2015. The 35 full papers presented in this volume were carefully reviewed and selected from 42...
  • №275
  • 12,12 МБ
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Springer, 2016. — 525 p. 18th International Workshop, CASC 2016, Bucharest, Romania, September 19-23, 2016, Proceedings. This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016. The 32 papers presented in this volume were carefully reviewed and selected from 39...
  • №276
  • 13,64 МБ
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Springer, 2017. — 419 p. 19th International Workshop, CASC 2017, Beijing, China, September 18-22, 2017, Proceedings. This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33...
  • №277
  • 13,59 МБ
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Springer, 2009. — 401 p. 11th International Workshop, CASC 2009, Kobe, Japan, September 13-17, 2009, Proceedings. This book constitutes the refereed proceedings of the 11th International Workshop on Computer Algebra in Scientific Computing, CASC 2009, held in Kobe, Japan, in September 2009. The 28 revised full papers presented together with 2 invited lectures were carefully...
  • №278
  • 5,36 МБ
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Berlin: Springer, 2005. - 231p. This work brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast algorithmics on the other hand. In many algorithmically oriented areas of computer science, theanalysisof- gorithms–placedintothe limelightbyDonKnuth’stalkat the 1970ICM –provides a crystal-clear criterion for success. The...
  • №279
  • 1,38 МБ
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Springer, 2016. — 104 p. — ISBN: 3319270796 A zebrafish, the hull of a miniature ship, a mathematical equation and a food chain - what do these things have in common? They are examples of models used by scientists to isolate and study particular aspects of the world around us. This book begins by introducing the concept of a scientific model from an intuitive perspective,...
  • №280
  • 2,42 МБ
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CRC Press, 2017. — 313 p. — ISBN 9781498746755; ISBN 9781315368689. This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering solution of...
  • №281
  • 4,11 МБ
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Springer, 2017. — 2035 p. — (Springer Reference). — ISBN 978-3-319-12384-4. The topic of Uncertainty Quantification (UQ) has witnessed massive developments in response to the promise of achieving risk mitigation through scientific prediction. It has led to the integration of ideas from mathematics, statistics and engineering being used to lend credence to predictive assessments of...
  • №282
  • 67,00 МБ
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Revised ed. — Dover Publications, Mineola, 2002. — 129 p. — ISBN 9780486428185, 0-486-42818-4. Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text...
  • №283
  • 15,76 МБ
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New Delhi, New Age International Ltd. Publishers, 2005 - 249 p. Книга предназначена в помощь программистам, реализующим алгоритмы вычислительной математики на языке С++. Рассмотрены вопросы решения систем линейных уравнений и матричных вычислений, решения дифференциальных уравнений обыкновенных и в частных производных, работа с рядами Фурье и степенными, преобразование Лапласа,...
  • №284
  • 1,34 МБ
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Springer International Publishing, Switzerland, 2016. — 822 p. — (Scientific Computation). — ISBN 978-3-319-41587-1. This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors and practitioners, and covers a vast spectrum of topics and application areas, including computational...
  • №285
  • 41,95 МБ
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N.-Y.: Springer, 2005. - 407p. Computer Science and Operations Research continue to have a synergistic relationship and this book represents the results of the cross-fertilization between OR/MS and CS/AI. It is this interface of OR/CS that makes possible advances that could not have been achieved in isolation. Taken collectively, these articles are indicative of the state of...
  • №286
  • 16,37 МБ
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New York: AMS, 2010. - 130pp. A fresh look at the question of randomness was taken in the theory of computing: A distribution is pseudorandom if it cannot be distinguished from the uniform distribution by any efficient procedure. This paradigm, originally associating efficient procedures with polynomial-time algorithms, has been applied with respect to a variety of natural...
  • №287
  • 1,22 МБ
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Philadelphia, Pennsylvania: 1990 - 169 pp. University of Wisconsin at Madison. Society for Industrial and Applied Mathematics. Книга на английском языке. Grace Wahba. Сплайн-модели для данных наблюдений. Филадельфия, Пенсильвания: 1990 г. - 169 с. Университет Висконсина и Мадисона. Общество промышленной и прикладной математики. Книга содержит цикл лекций на темы, актуальных...
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Springer-Verlag Berlin Heidelberg, 2012. This book contains ten invited expository articles arising from the 91st LMS Durham Symposium on Numerical Analysis of Multiscale Problems which took place in the beautiful cathedral city of Durham in the UK from 5 to 15 July 2010. The Symposium was attended by 103 participants and was organised by Ivan Graham, Tom Hou and Rob...
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American Mathematical Society, 2006. — 525 p. This book is a text for a first-year graduate course in complex analysis. All material usually treated in such a course is covered here, but our book is based on principles that differ somewhat from those underlying most introductory graduate texts on the subject. This third edition follows the overall plan and even the specific...
  • №290
  • 6,42 МБ
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Academic Press, 1974. - 312 Pages. The development of the high-speed digital computer has had, and continues to have, a revolutionary effect on modern applied science. Immediate evidence is available in the form of a large number of computer-generated numerical solutions of fundamental, unsolved systems of mathematical equations. The diversity of fields being affected includes...
  • №291
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Wiley-VCH, 2006. - 204 pages. This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and...
  • №292
  • 5,15 МБ
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Wiley-VCH, 2006. — 212 pages. ISBN: 3527406107 This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully...
  • №293
  • 5,61 МБ
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Berkeley: Univ. of California Press, 1958. Second (textually unaltered ) Edition The First Edition of this work was published at Berkeley , Los Angelesand Cambridge , England in 1958 . The present, Second Edition is textually identical with the First Edition , except for a few small changes, and an Add endumon page 238. It is published at New York , N . Y . in 1984 an d...
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Springer, 2006. - 320 Pages. Meshfree methods for the numerical solution of partial differential equations are becoming more and more mainstream in many areas of applications. This volume represents the state-of-the-art in meshfree methods. It consists of articles which address the different meshfree techniques, their mathematical properties and their application in applied...
  • №295
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Springer, 2010. - 250 pages. The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and...
  • №296
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SIAM, 2008. — 460 pages. 2 Edition ISBN: 0898716594 Algorithmic, or automatic, differentiation (AD) is a growing area of theoretical research and software development concerned with the accurate and efficient evaluation of derivatives for function evaluations given as computer programs. The resulting derivative values are useful for all scientific computations that are based on...
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Springer, 2010. — 268 p. Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers...
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Elsevier, 2011. — 445 p. Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active...
  • №299
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New York: Springer, 1993. — 84 p. Classical applied mathematics is dominated by the Laplacian paradigm of known causes evolving continuously into uniquely determined effects. The classical direct problem is then to find the unique effect of a given cause by using the appropriate law of evolution. It is therefore no surprise that traditional teaching in mathema­ tics and the...
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SIAM, 1987. — 194 p. — ISBN: 0898712394 Here is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebra's, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics.
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Springer, 2007. — 591 p. — ISBN: 3540715827 This book deals with discretization techniques for elliptic, parabolic and hyperbolic partial differential equations. It provides an introduction to the main principles of discretizations and presents to the reader the ideas and analysis of advanced numerical methods in this area. It is the authors' aim to give...
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Sрringer, 2008. — 595 p. Discrete mathematics and theoretical computer science are closely linked research areas with strong impacts on applications and various other scientific disciplines. Both fields deeply cross fertilize each other. One of the persons who particularly contributed to building bridges between these and many other areas is László Lovász, a scholar whose...
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New Age, 2009. — 339 pages. — ISBN: 8122426859 We feel happy and honoured while presenting this book Advanced Mathematics for engineering students studying in B. Tech. IV Semester (EE and EC Branch) of Rajasthan Technical University and all Indian Universities. In this book we have presented the subject matter in very simple and precise manner. The treatment of the subject is...
  • №304
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Cambridge University Press, 2019. — 830 p. — ISBN 978-1-108-71600-0. Written in an easy-to-understand manner, this comprehensive textbook brings together both basic and advanced concepts of numerical methods in a single volume. Important topics including error analysis, nonlinear equations, systems of linear equations, interpolation and interpolation for Equal intervals and...
  • №305
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Third Edition. — New Delhi: New Age International, 2013. — 338 p. Numerical techniques required for all engineering disciplines explained Necessary amount of elementary material included Difficult concepts explained with solved examples Some equations solved by different techniques for wider exposure An extensive set of graded problems with hints included This book is intended to...
  • №306
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Boston: American Mathematical Society, 2011. — 230 p. — (Contemporary Mathematics 556). This volume corresponds to the Banff International Research Station Workshop on Randomization, Relaxation, and Complexity, held from February 28-March 5, 2010 in Banff, Ontario, Canada. This volume contains a sample of advanced algorithmic techniques underpinning the solution of systems of...
  • №307
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Springer, 2011. 335 p. ISBN:364219494X. How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical...
  • №308
  • 3,80 МБ
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Springer, 2008. — 350 p. This book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE...
  • №309
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New York: Springer, 2018. — 262 p. The volume begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the...
  • №310
  • 3,99 МБ
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Springer, 2018. — 661 p. — (Springer Series in Computational Mathematics 52). — ISBN 3319920006. This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary...
  • №311
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Berlin: Springer, 2014. — 202 p. In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion...
  • №312
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Springer, 1982. — 637 p. These proceedings contain the introductory and specific scientific papers presented at the international "Conference on Multigrid Methods", which was held at Cologne-Porz from 23rd to 27th November, 1981. The introductory part describes basic methods, theoretical approaches and practical aspects in a systematic way. Furthermore, some simple...
  • №313
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Springer, 2012. — 500 p. — (Springer Series in Computational Mathematics 42). — ISBN 978-3-642-28026-9. — e-ISBN 978-3-642-28027-6. Special numerical techniques are already needed to deal with nxn matrices for large n.Tensor data are of size nxnx...xn=n^d, where n^d exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods...
  • №314
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Springer, Berlin, 2006. - 644 pages The subject of this book is numerical methods that preserve geometric properties of the flow of a differential equation: symplectic integrators for Hamiltonian systems, symmetric integrators for reversible systems, methods preserving first integrals and numerical methods on manifolds, including Lie group methods and integrators for...
  • №315
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Springer, 2010. — 614 p. The subject of this book is the solution of stiff differential equations and of differential-algebraic systems (differential equations with constraints). The book is divided into four chapters. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on...
  • №316
  • 57,95 МБ
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Springer, 2004. — 316 p. — ISBN:0387235361. This volume provides a posteriori error analysis for mathematical idealizations in modeling boundary value problems, especially those arising in mechanical applications, and for numerical approximations of numerous nonlinear variational problems. The author avoids giving the results in the most general, abstract form so that it is...
  • №317
  • 10,12 МБ
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New York: Springer, 2000. — 315 p. This collection of conference papers describes state-of-the-art methodologies and algorithms used in the treatment of inverse problems, focusing on seismology and image processing. The papers also describe new general methodologies for analysis and solution of inverse problems by means of statistical and deterministic algorithms. The book gives a...
  • №318
  • 23,28 МБ
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Springer International Publishing AG, 2017. — 318 p. — (Statistics and Computing) — ISBN 3319553356. This textbook on computational statistics presents tools and concepts of univariate and multivariate statistical data analysis with a strong focus on applications and implementations in the statistical software R. It covers mathematical, statistical as well as programming problems...
  • №319
  • 13,09 МБ
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Cambridge University Press, 2018. — 171 p. — ISBN 978-1-108-47247-0. Modern scientific computational methods are undergoing a transformative change; big data and statistical learning methods now have the potential to outperform the classical first-principles modeling paradigm. This book bridges this transition, connecting the theory of probability, stochastic processes, functional...
  • №320
  • 5,92 МБ
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New York: IGI Global, 2007. — 314 p. Rough set theory is a new soft computing tool which deals with vagueness and uncertainty. It has attracted the attention of researchers and practitioners worldwide, and has been successfully applied to many fields such as knowledge discovery, decision support, pattern recognition, and machine learning. Rough Computing: Theories,...
  • №321
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This book results from the authors work done on simulation based optimization problems at the Department of Mathematics, University of Trier, and reported in his postdoctoral thesis (Habilitationsschrift) accepted by the Faculty-IV of this University in 2008. The focus of the work has been to develop mathematical methods and algorithms which lead to efficient and high performance...
  • №322
  • 6,63 МБ
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New York: Springer, 2016. — 453 p. This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for...
  • №323
  • 9,11 МБ
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McGraw-Hill, 1997. - 443 pages. Scientific Computing presents a broad overview of numerical methods and software for students and professionals in computational-oriented disciplines who need to solve mathematical problems. This clear, well-written text is particularly useful for students of engineering, computer science, and the sciences who want to learn which techniques (and...
  • №324
  • 1,96 МБ
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SIAM, 2018. — xx +568 p. — (Classics in Applied Mathematics, 80). — ISBN 978-1611975574. This book presents a broad overview of numerical methods for solving all the major problems in scientific computing, including linear and nonlinear equations, least squares, eigenvalues, optimization, interpolation, integration, ordinary and partial differential equations, fast Fourier...
  • №325
  • 2,87 МБ
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2nd edition. — Philadelphia: Society for Industrial and Applied Mathematics, 2018. — 590 p. This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in...
  • №326
  • 3,45 МБ
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Dordrecht: D. Reidel Publishing Company, 2013. - 766p. This is a textbook devoted to mathematical programming algorithms and the mathematics needed to understand such algorithms. It was mainly written for economists, but the mathematics itself obviously has relevance for other disciplines. It is a textbook as well a~ in parts, a contribution to new knowledge. There is,...
  • №327
  • 16,24 МБ
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Heidelberg, Dordrecht, London, New York: Springer-Verlag, — 200 s. — ISBN: 978-3-642-20310-7 Contents: Deterministic Analysis of Observations Motivation Data Transformations: Linear Models Model Development: Polynomial Models Model Evaluation: Population Modeling The Advantage of Modeling: Global Warming Modeling Summary Exercises Stochastic Analysis of...
  • №328
  • 22,01 МБ
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De Gruyter, 2019. — 196 p. — ISBN 978-3-11-057330-5. Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of...
  • №329
  • 4,47 МБ
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Wien: Springer, 2003. — 246 p. This workshop was organized with the support of GAMM, the International Association of Applied Mathematics and Mechanics, on the occasion of J. Herzberger's 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this...
  • №330
  • 5,30 МБ
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Philadelphia: SIAM - Society for Industrial and Applied Mathematics, 2018. — 571 p. — (Computational Science and Engineering Series 18). — ISBN 978-1-611975-09-3. Conservation laws are the mathematical expression of the principles of conservation and provide effective and accurate predictive models of our physical world. Although intense research activity during the last decades...
  • №331
  • 17,84 МБ
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Springer, 2005. — 254 p. From the reviews of the first edition: "This book unifies the results from a number of papers by the authors and their coworkers over the past two decades, and complements them by new insights and some background. The distinguishing feature of this book is a comprehensive and rigorous treatment of convergence bounds based on the theory of infinite...
  • №332
  • 7,35 МБ
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Dover Publications,New York, 1987. - 704 p. This book is intended to provide an introductory treatment of the fundamental processes of numerical analysis which is compatible with the expansion of the field brought about by the development of the modern high-speed calculating devices, but which also takes into account the fact that very substantial amounts of computation will...
  • №333
  • 19,47 МБ
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Cambridge University Press, 1991. - 160 pages. In this book the author presents the theory and techniques underlying perturbation methods in a manner that will make the book widely appealing to readers in a broad range of disciplines. Methods of algebraic equations, asymptotic expansions, integrals, PDEs, strained coordinates, and multiple scales are illustrated by copious use...
  • №334
  • 45,27 МБ
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Basel: Birkhäuser, 2013. - 358p. Quaternion and Clifford Fourier and wavelet transformations generalize the classical theory to higher dimensions and are becoming increasingly important in diverse areas of mathematics, physics, computer science and engineering. This edited volume presents the state of the art in these hypercomplex transformations. The Clifford algebras unify...
  • №335
  • 11,13 МБ
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New York, NY, USA. Marcel Dekker, Inc. Basel, Switzerland.Marcel Dekker AG. Second Edition, Revised and Expanded. 2001. 825 p. ISBN: 0-8247-0443- 6. A great textbook for a first course in Numerical Methods as it gives an extensive yet detailed coverage of numerical techniques that form the base for more advanced work in CFD. This book is based almost entirely on the finite...
  • №336
  • 24,55 МБ
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Springer Cham Heidelberg New York Dordrecht London, 2014. XIV, 257 p. 128 illus., 78 illus. in color. — ISBN 978-3-319-05932-7, ISBN 978-3-319-05933-4 (eBook), DOI 10.1007/978-3-319-05933-4. Easy introduction to the subject matter. Selection of current interrelated research topics in computational engineering. Provides a synthesis of mathematical modeling, numerical...
  • №337
  • 10,14 МБ
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European Mathematical Society, 2010. — 235 p. — (EMS Series of Lectures in Mathematics). — ISBN 978-3-03719-078-4. Operator splitting (or the fractional steps method) is a very common tool to analyze nonlinear partial differential equations both numerically and analytically. By applying operator splitting to a complicated model one can often split it into simpler problems that can...
  • №338
  • 4,79 МБ
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McGraw-Hill, 1983. - 475 Pages. Because of the availability of high-speed computers the time is fast approaching when the engineer will be expected to be as conversant with/the unsteady state solutions to process systems as was expected for the steady state solutions in the past. In this book a combination of the principles of separation processes, process modeling, process...
  • №339
  • 13,57 МБ
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N.-Y.: Springer, 2007. — 247 p. This book shows how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. Includes an...
  • №340
  • 2,73 МБ
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Springer Nature, 2016. — 496 p. — ISBN-10: 331930254X, ISBN-13: 9783319302546. This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a...
  • №341
  • 11,81 МБ
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Quantum Publishers, Inc. New York, 1975. — 310 p. Table of Contents Introductory Topics. The Taylor Series. The Finite Difference Calculus. Interpolation and Extrapolation. Roots of Equations. The Solution of Simultaneous Linear Algebraic Equations and Matrix Inversion. Least-Squares Curve Fitting and Functional Approximation. Numerical Integration. The Numerical...
  • №342
  • 12,89 МБ
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Berlin: Springer, 1987. — 184 p. — ISBN 9783540175728, 3540175725. The most commonly used numerical techniques in solving engineering and mathematical models are the Finite Element, Finite Difference, and Boundary Element Methods. As computer capabilities continue to impro':e in speed, memory size and access speed, and lower costs, the use of more accurate but computationally...
  • №343
  • 5,12 МБ
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SIAM, 2006. — XVI, 214 p. — ISBN 0-89871-607-1 (pbk.) The Structural Representation of Proximity Matrices with MATLAB presents and demonstrates the use of functions within a MATLAB computational environment, affecting various structural representations for the proximity information that is assumed to be available on a set of objects. The representations included in the book...
  • №344
  • 20,92 МБ
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Dover Publications Inc, 1966. - 558p. - ISBN 0-486-68029-0 Excellent advanced-undergraduate and graduate text covers norms, numerical solution of linear systems and matrix factoring, iterative solutions of nonlinear equations, eigenvalues and eigenvectors, polynomial approximation and more. Careful analysis and stress on techniques for developing new methods. Features examples and...
  • №345
  • 14,33 МБ
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Cambridge University Press, 2008. - 459 pages. Second Edition Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the...
  • №346
  • 6,18 МБ
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Dordrecht: D. Reidel Publishing Company - Kluwer Academic Publishers, 1984. — 358 p. — ISBN 9789027715975, 9027715971. This book is addressed to persons who, without being professionals in applied mathematics, are often faced with the problem of numerically solving differential equations. In each of the first three chapters a definite class of methods is discussed for the solution...
  • №347
  • 19,70 МБ
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Amsterdam: Springer, 2004. — 321 p. Exponential Fitting is a procedure for an efficient numerical approach of functions consisting of weighted sums of exponential, trigonometric or hyperbolic functions with slowly varying weight functions. This book is the first one devoted to this subject. Operations on the functions described above like numerical differentiation, quadrature,...
  • №348
  • 13,61 МБ
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New Delhi: New Age, 2009. — 326 p. Contents: Preface Solution of Equations and Eigenvalue Problems Solution of Algebraic and Transcendental Equations Introduction Initial Approximation for an Iterative Procedure Method of False Position Newton-Raphson Method General Iteration Method Convergence of Iteration Methods Linear System of Algebraic Equations Introduction Direct Methods...
  • №349
  • 1,90 МБ
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Wiley, 2009. — 482 p. Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and...
  • №350
  • 5,41 МБ
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New Age Publications, 2009. - 618 pages. Salient features of this work include: mathematical derivation of each method is given to build the students understanding of numerical analysis; a variety of solved examples are given; computer programs for almost all numerical methods discussed have been presented in 'C' language; error analysis for almost all methods are presented;...
  • №351
  • 13,99 МБ
  • дата добавления неизвестна
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Monography. Reprinted from the Proceedings of the. 1972 CERN Computing and Data Processing School, Pertisau, Austria, 10-24 September, 1972 (CERN 72-21). CERN, Geneva, 2004. — 41 p. Contents. Introduction. One-dimensional minimization. Stepping methods in many variables. Gradient methods. Specialized techniques. Local and global minima. Some sample problems for...
  • №352
  • 221,38 КБ
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The Ohio State University 2007. - 270 с. A Dissertation Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State University By Jangguen Lee, M.S Abstract Classical solutions for solute transport through a porous media are derived for rigid materials in which no deformation occurs during the transport...
  • №353
  • 2,76 МБ
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Amsterdam: Elsevier, 2016. - 248p. This book describes three classes of nonlinear partial integro-differential equations. These models arise in electromagnetic diffusion processes and heat flow in materials with memory. Mathematical modeling of these processes is briefly described in the first chapter of the book. Investigations of the described equations include theoretical as...
  • №354
  • 2,27 МБ
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Elsevier, 2005. — 347 p. This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation. The material discussed here has far-reaching applications in many areas of Applied Mathematics, such as in Computer Aided Geometric Design, in Mathematical Modelling, in Signal and Image Processing and in...
  • №355
  • 6,13 МБ
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Springer International Publishing AG, 2017. — 282 p. — (SEMA SIMAI Springer Series 14). — ISBN 331967109X. This book explores recent advances in uncertainty quantification for hyperbolic, kinetic, and related problems. The contributions address a range of different aspects, including: polynomial chaos expansions, perturbation methods, multi-level Monte Carlo methods, importance...
  • №356
  • 8,62 МБ
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John Wiley & Sons Inc., 1982. – 295 pages. This book is intended to serve as a text for an introductory course in numerical methods. It evolved from a set of notes developed for such a course tauch to science and engineering students at University of Toronto.
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  • 9,66 МБ
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Article. Edition 1+1/4. Jonathan Richard Shewchuk. August 4, 1994. School of Computer Science. Carnegie Mellon University. Pittsburgh, P A 15213. pages: 58. Abstract. The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations. Unfortunately, many textbook treatments of the topic are written with neither illustrations...
  • №358
  • 503,48 КБ
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Berlin: Springer, 1994. - 160p. The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from...
  • №359
  • 4,52 МБ
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New York: Nova Publishers, 2015. — 377 p. Contents: Introduction List of Figures List of Tables Numerical Methods of Linear Algebra General Properties of Linear Equations Solving Systems of Linear Equations Using the Cramer and Gaussian Methods Gaussian Algorithms Solution of Linear Equations Containing Tridiagonal Matrixes Iterative Methods of Solution of Linear Equations...
  • №360
  • 1,95 МБ
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New York: Nova Publishers, 2015. — 366 p. Contents: List of Figures List of Tables Numerical Methods of Probability Theory and Mathematical Statistics Methods of Combinatorics Main Concepts and Theorems of Combinatorics Algorithms for the Generation of Numerical Sequences Discrete Probability Distributions Simplest Discrete Distributions Binomial Distribution Geometric and Pascal...
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Palm Bay: Apple Academic Press, 2019. — 306 p. This book is designed to be a vital companion to math textbooks covering the topics of precalculus, calculus, linear algebra, differential equations, and probability and statistics. While these existing textbooks focus mainly on solving mathematic problems using the old paper-and-pencil method, this book teaches how to solve these...
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Prentice Hall, 1989. — 495 p. The book discusses the topics which are among the most important for a scientist who will be doing numerical computation. This includes many standard items such as solution of systems of linear equations, interpolation, fast Fourier transform, evaluation of integrals and differential equations, optimization and simulation. The book is written for...
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SIAM, PA, 1999 ISBN 0898714311, 342pp, This book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable algorithms for large-scale structured systems of linear equations, in many cases,...
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CRC Press, 2018. - 453 p. This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step...
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2nd edition. — Wiley, 2008. — 211 p. — ISBN: 352740760X This introduction to Monte Carlo methods seeks to identify and study the unifying elements that underlie their effective application. Initial chapters provide a short treatment of the probability and statistics needed as background, enabling those without experience in Monte Carlo techniques to apply these ideas to their...
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Springer, 1993. — 515 p. The editors have published a select group of full length papers on boundary element analysis (BEA) photographed from camera ready manuscripts. The articles have been prepared by some of the most distinguished and prolific individuals in this field. More than half of these articles have been submitted by authors that participated in an International...
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Boca Raton: CRC press, 2016. - 444p. The motivation of this second edition is quite simple: As proofs of PI-theorems have become more technical and esoteric, several researchers have become dubious of the theory, impinging on its value in mathematics. This is unfortunate, since a closer investigation of the proofs attests to their wealth of ideas and vitality. So our main goal...
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Tennessee Technological University, USA: Demetrios P. Kanoussis, 2017. — 25 p. — (The Mathematics Series). — ASIN B0711YL9XQ. Algebra traditionally deals with equations and systems of equations. The simplest types of equations in Algebra, are the so called polynomial equations. The aim of this short book is to help the students to master some fundamental techniques in solving...
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Springer-Verlag Berlin Heidelberg, 2005. — 393 s. ISBN: 3540213791 Unter Computeralgebra versteht man den Grenzbereich zwischen Algebra und Informatik, der sich mit Entwurf, Analyse, Implementierung und Anwendung algebraischer Algorithmen befasst. Entsprechend dieser Sichtweise stellt der Autor einige Computeralgebra-Systeme vor und zeigt an Beispielen deren Leistungsfähigkeit....
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