Springer-Verlag Berlin, 2006, 482 pagesThis 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, numerical analysis, and scientific computing. In addition to presenting the technological basis, this volume addresses selected applications that combine different techniques in order to meet demanding computational challenges. Through contributions from a wide range of internationally acknowledged experts, this book gives a to-the-point and self-containing overview of efficient ways to deal with large-scale simulation problems. Most of the chapters dealing with the technological components of parallel computing are written in a survey style and will provide a comprehensive, but still readable, introduction for students and researchers. Other chapters are more specialized, for instance focusing on a specific application that can demonstrate practical problems and solutions associated with parallel computations.
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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...
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...
Elsevier Science Ltd, 1978. - 308 p. ISBN: 0444002634.
This book's philosophy differs from most others written on numerical methods or numerical analysis. In a typical numerical-analysis text, much time is spent on error analysis. However, in practical applications, usually little time is devoted to rigorous error analysis.
Instead of relying solely on error analysis to estimate...
Springer – 2012, 654 pages.
Complete update of an important and successful text in a fast-moving field
Three new chapters, covering network flow theory, search methods from MP and AI, and GO/Nonlinear Programming
Now includes exercise solutions
The first edition of Integrated Methods for Optimization was published in January 2007. Because the book covers...
Society for Industrial and Applied Mathematics, 1998, -479 pp.
This book, Basic Decompositions, is the first volume in a projected five-volume series entitled Matrix Algorithms. The other four volumes will treat eigensystems, iterative methods for linear systems, sparse direct methods, and special topics, including fast algorithms for structured matrices.
My intended audience...
М: ЛКИ, 2009, 480 стр.
В традиционных курсах по методам решения задач математической физики рассматриваются прямые задачи. При этом решение определяется из уравнений с частными производными, которые дополняются определенными краевыми и начальными условиями. В обратных задачах некоторые из этих составляющих постановки задачи отсутствуют. Неизвестными могут быть, например,...