Computational Methods in Physics Compendium for Students /

• Main Authors: Širca, Simon (Author, http://id.loc.gov/vocabulary/relators/aut), Horvat, Martin (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 2nd ed. 2018.
• Series: Graduate Texts in Physics,
• Subjects: Physics.; Chemistry, Physical and theoretical.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical and Computational Physics, Simulation.; Theoretical and Computational Chemistry.; Mathematical and Computational Engineering.; Computational Science and Engineering.

This book is intended to help 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 optimization of program ex...

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
• Inverse methods.