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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Détails bibliographiques
Auteur principal: Funaro, Daniele, 1958-
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in physics. M, Monographs 8
Sujets:
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Edition sous un autre format:• Polynomial approximation of differential equations, Daniele Funaro, 1992, Berlin, Springer-Verlag, 1 vol. (X-305 p.), Lecture notes in physics, 3-540-55230-8
• Polynomial Approximation of Differential Equations, Texte imprimé, 9783662138779
• Polynomial Approximation of Differential Equations, Texte imprimé, 9783662138786
Table des matières:
  • 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.