Computational Methods for Physicists
Subtitle: Compendium for Students
By: by Simon Sirca, Martin Horvat
Contributors: Horvat, Martin; SpringerLink (Online service)
Series: Graduate Texts in Physics
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2012
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 715
ISBN-13: 9783642324789
Subjects: Numerical and Computational Physics; Computational Mathematics and Numerical Analysis; Theoretical and Computational Chemistry; Appl.Mathematics/Computational Methods of Engineering; Engineering mathematics; Computer science; Mathematics; Chemistry; Physics; Computational Science and Engineering
Description: 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.
Table of contents: title: Basics of numerical analysis; title: Solution of nonlinear equations; title: Matrix methods; title: Transformations of functions and signals; title: Statistical description and modeling of data; title: Modeling and analysis of time series; title: Initial-value problems for ordinary differential equations; title: Boundary-value problems for ordinary differential equations; title: Difference methods for one-dimensional partial differential equations; title: Difference methods for partial differential equations in more than one dim; title: Spectral methods for partial differential equations.