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Computational Methods for Physicists: Compendium for Students [Hardcover]

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Category: Books (Mathematics)
Author: Sirca, Simon, Horvat, Martin
Author: Sirca, Simon, Horvat, Martin
ISBN-10: 3642324770
ISBN-10: 3642324770
ISBN-13: 9783642324772
ISBN-13: 9783642324772
Publisher: Springer
Publisher: Springer
Pages: 700
Pages: 700
Binding: Hardcover
Binding: Hardcover
Pub Date: 01-Mar-2012
Pub Date: 01-Mar-2012
SKU: 3642324770-11-SPRI
SKU: 3642324770-11-SPRI
Item ID: 100176456
List Price: $54.99

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This book helps advanced undergraduate, graduate and postdoctoral students in their daily work by offering them a compendium of numerical methods. The choice of methods pays  significant attention to error estimates, stability and convergence issues as well as to the ways to optimize program execution speeds. 

Many examples are given throughout the chapters, and each chapter is followed by at least a handful of more comprehensive problems which may be dealt with, for example, on a weekly basis in a one- or two-semester course. In these end-of-chapter problems the physics background is pronounced, and the main text preceding them is intended as an introduction or as a later reference. Less stress is given to the explanation of individual algorithms. It is tried to induce in the reader an own independent thinking and a certain amount of scepticism and scrutiny instead of blindly following readily available commercial tools.

This text, the ideal student companion to the topic, explains all the core numerical techniques a physicist should know, as well as how to control errors, retain stability, and merge computations. It includes appendices full of additional detail and advice.

Basics of numerical analysis.- Solution of nonlinear equations.- Matrix methods.- Transformations of functions and signals.- Statistical description and modeling of data.- Modeling and analysis of time series.- Initial-value problems for ordinary differential equations.- Boundary-value problems for ordinary differential equations.- Difference methods for one-dimensional partial differential equations.- Difference methods for partial differential equations in more than one dim.- Spectral methods for partial differential equations.

From the reviews:

This is a well designed textbook that offers a generous compendium of numerical analysis, at a medium level of training in mathematics.ls&