Spectral methods

Spectral methods: algorithms, analysis and applications

by Shen, Jie

Type Book
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Title Statements

  • Full title :Spectral methods : algorithms, analysis and applications / Jie Shen, Tao Tang, Li-Lian Wang.

Edition Statements

  • Publication Date:©2011.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Heidelberg
  • Language:eng
  • Publication Date:©2011.

The Physical Object

  • Description:xvi, 470 pages : : illustrations (some color) ; : 24 cm

Edition Identifiers

  • ISBN:9783540710400, 354071040X, 9783540710417, 3540710418
  • oclc:ocn759395639
  • LC Classification:QC20.7.S64
  • Dewey Decimal:515.7222

Table of Contents

1. Introduction -- 2. Fourier spectral methods for periodic problems -- 3. Orthogonal polynomials and related approximation results -- 4. Spectral methods for second-order two-point boundary value problems -- 5. Volterra integral equations -- 6. Higher-order differential equations -- 7. Unbounded domains -- 8. Separable multi-dimensional domains -- 9. Applications in multi-dimensional domains -- A. Properties of the gamma functions -- B. Essential mathematical concepts -- C. Basic iterative methods and preconditioning -- D. Basic time discretization schemes.

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