Computational Methods for Physicists Compendium for Students /

• Main Authors: Sirca, Simon (Author), Horvat, Martin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Series: Graduate Texts in Physics,
• Subjects: Physics.; Chemistry, Physical and theoretical.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Numerical and Computational Physics.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical and Computational Chemistry.; Computational Science and Engineering.

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 executio...

Table of 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.