Collocation methods for Volterra integral and related functional differential equations /

Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Brunner, H. (Hermann), 1941-
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2004.
Series:Cambridge monographs on applied and computational mathematics ; 15.
Subjects:
Volterra equations > Numerical solutions.
Collocation methods.
Équations de Volterra > Solutions numériques.
Méthodes de collocation (Mathématiques)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Online Access:Texto completo
Table of Contents:
  • 1. The collocation method for ODEs : an introduction
  • 2. Volterra integral equations with smooth kernels
  • 3. Volterra integro-differential equations with smooth kernels
  • 4. Initial-value problems with non-vanishing delays
  • 5. Initial-value problems with proportional (vanishing) delays
  • 6. Volterra integral equations with weakly singular kernels
  • 7. VIDEs with weakly singular kernels
  • 8. Outlook : integral-algebraic equations and beyond
  • 9. Epilogue.

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