Spectral Methods Algorithms, Analysis and Applications /
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...
Cote: | Libro Electrónico |
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Auteurs principaux: | , , |
Collectivité auteur: | |
Format: | Électronique eBook |
Langue: | Inglés |
Publié: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2011.
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Édition: | 1st ed. 2011. |
Collection: | Springer Series in Computational Mathematics,
41 |
Sujets: | |
Accès en ligne: | Texto Completo |
Table des matières:
- 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. .