好书推荐–Spectral Methods: Algorithms, Analysis and Applications

Posted on June 27, 2011

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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

  1. Introduction
  2. Fourier Spectral Methods for Periodic Problems
  3. Orthogonal Polynomials and Related Approximation Resutls
  4. Second-Order Two-Point Boundary Value Problems
  5. Integral Equations
  6. High-Order Differential Equations
  7. Problems in Unbounded Domains
  8. Multi-Dimensional Domains
  9. Mathematical Preliminaries
  10. Basic Iterative Methods
  11. Basic Time Discretization Schemes
  12. Instructions for Routines in Matlab

本书将在Springer 计算数学专著系列出版,敬请期待。

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