Computational methods for physicists : compendium for students / Simon Širca, Martin Horvat.

Format:

Book

Author/Creator:

Širca, Simon.

Contributor:

Horvat, Martin.

George R. Fink Memorial Fund.

Series:

Graduate texts in physics

Graduate texts in physics, 1868-4513

Language:

English

Subjects (All):

Mathematical physics.

Physics--Data processing.

Physics.

Physical Description:

xx, 715 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2012]

Summary:

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.

Contents:

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.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the George R. Fink Memorial Fund.

ISBN:

3642324770

9783642324789

3642324789

9783642324772

OCLC:

831798241

Publisher Number:

99953324098