Polynomial Approximation of Differential Equations

This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spe...

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Bibliographic Details
Main Author: Funaro, Daniele
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1992, 1992
Edition:1st ed. 1992
Series:Lecture Notes in Physics Monographs
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Special Families of Polynomials
  • Orthogonality
  • Numerical Integration
  • Transforms
  • Functional Spaces
  • Results in Approximation Theory
  • Derivative Matrices
  • Eigenvalue Analysis
  • Ordinary Differential Equations
  • Time-Dependent Problems
  • Domain-Decomposition Methods
  • Examples
  • An Example in Two Dimensions