向大家推荐一本即将由Springer出版的好书: Spectral Methods:Algorithms, Analysis and Applications. 该书由普渡大学的沈捷教授,香港浸会大学的汤涛教授和南洋理工大学的王利联教授共同编撰。其内容涵盖了谱方法的理论和算法,包含了大量的算法实现(基于Matlab),有助于理解学习。本书的目录如下
- Introduction
- Fourier Spectral Methods for Periodic Problems
- Orthogonal Polynomials and Related Approximation Resutls
- 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
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Posted on June 27, 2011
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