2nd ed. — N.-Y.: Addison-Wesley, 1999. —- 423 p.This book covers a broad spectrum of the most important, basic numerical and analytical techniques used in physics —including ordinary and partial differential equations, linear algebra, Fourier transforms, integration and probability. Now language-independent. Features attractive new 3-D graphics. Offers new and significantly revised exercises. Replaces FORTRAN listings with C++, with updated versions of the FORTRAN programs now available on-line. Devotes a third of the book to partial differential equations—e.g., Maxwell's equations, the diffusion equation, the wave equation, etc. This numerical analysis book is designed for the programmer with a physics background.Contents Preliminaries. Ordinary Differential Equations I: Basic Methods. Ordinary Differential Equations II: Advanced Methods. Solving Systems of Equations. Analysis of Data. Partial Differential Equations I: Foundations and Explicit Methods. Partial Differential Equations II: Advanced Explicit Methods. Partial Differential Equations III: Relaxation and Spectral Methods. Partial Differential Equations IV: Stability and Implicit Methods. Special Functions and Quadrature. Stochastic Methods.
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7th edition. — New York: Elsevier, Academic Press, 2013. — 1206 p. The seventh edition of Mathematical Methods for Physicists, maintains the tradition set by the six previous editions and continues to have as its objective the presentation of all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This book...
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....
Cambridge University Press, 2007. — 1262 p.
William H. Press - Raymer Chair in Computer Sciences and Integrative Biology The University of Texas at Austin
Saul A. Teukolsky - Hans A. Bethe Professor of Physics and Astrophysics Cornell University
William T. Vetterling - Research Fellow and Director of Image Science ZINK Imaging, LLC
Brian P. Flannery - Science,...