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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shen, Jie (Autor), Tang, Tao (Autor), Wang, Li-Lian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Series in Computational Mathematics, 41
Temas:
Mathematics-Data processing.
Differential equations.
Computer science-Mathematics.
Computational Mathematics and Numerical Analysis.
Differential Equations.
Mathematics of Computing.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.  .

Ejemplares similares