An Introductory Guide to Computational Methods for the Solution of Physics Problems With Emphasis on Spectral Methods /

• Main Authors: Rawitscher, George (Author, http://id.loc.gov/vocabulary/relators/aut), dos Santos Filho, Victo (http://id.loc.gov/vocabulary/relators/aut), Peixoto, Thiago Carvalho (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: 1st ed. 2018.
• Subjects: Physics.; Spectroscopy.; Microscopy.; Superconductivity.; Superconductors.; Atomic structure .; Molecular structure .; Numerical and Computational Physics, Simulation.; Spectroscopy and Microscopy.; Strongly Correlated Systems, Superconductivity.; Atomic/Molecular Structure and Spectra.

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods con...

Table of Contents:

• Dedication
• Preface
• Numerical Errors
• Methods
• Galerkin and Collocation Methods
• Convergence Theorems
• Chebyshev Polynomials
• The Integral Equation Corresponding to a Differential Equation
• Spectral Finite Element Method
• The Phase-Amplitude Representation of a Wave Function
• The Vibrating String
• Iteratively Calculated Eigenvalues
• Sturmian Functions
• Index.