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Computational Methods for Physicists : Compendium for Students / by Simon Sirca, Martin Horvat.
Springer Nature - Springer Physics and Astronomy eBooks 2012 English International Available online
View online- Format:
- Book
- Author/Creator:
- Širca, Simon, Author.
- Horvat, Martin., Author.
- Series:
- Graduate Texts in Physics, 1868-4513
- Language:
- English
- Subjects (All):
- Physics.
- Computer science--Mathematics.
- Computer science.
- Applied mathematics.
- Engineering mathematics.
- Chemistry, Physical and theoretical.
- Numerical and Computational Physics, Simulation.
- Computational Mathematics and Numerical Analysis.
- Mathematical and Computational Engineering.
- Theoretical and Computational Chemistry.
- Computational Science and Engineering.
- Local Subjects:
- Numerical and Computational Physics, Simulation.
- Computational Mathematics and Numerical Analysis.
- Mathematical and Computational Engineering.
- Theoretical and Computational Chemistry.
- Computational Science and Engineering.
- Physical Description:
- 1 online resource (723 p.)
- Edition:
- 1st ed. 2012.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
- Language Note:
- English
- 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:
- Description based upon print version of record.
- Includes bibliographical references and index.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-642-32478-9
- OCLC:
- 823388551
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