Spectral Methods Algorithms, Analysis and Applications /

• Main Authors: Shen, Jie (Author), Tang, Tao (Author), Wang, Li-Lian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Springer Series in Computational Mathematics, 41
• Subjects: Mathematics.; Computer science > Mathematics.; Partial differential equations.; Computer mathematics.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.; Mathematics of Computing.

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of  basic convergence t...

Table of Contents:

• Introduction
• Fourier Spectral Methods for Periodic Problems
• Orthogonol Polynomials and Related Approximation Results
• Second-Order Two-Point Boundary Value Problems
• Integral Equations
• High-Order Differential Equations
• Problems in Unbounded Domains
• Multi-Dimensional Domains
• Mathematical Preliminaries
• Basic iterative methods
• Basic time discretization schemes
• Instructions for routines in Matlab.  .