Iterated collocation methods for Volterra integral equations with delay arguments-Reference-Cited by-同舟云学术

Iterated collocation methods for Volterra integral equations with delay arguments

Published:1994 Issue:206 Volume:62 Page:581-599
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Brunner Hermann

Abstract

In this paper we give a complete analysis of the global convergence and local superconvergence properties of piecewise polynomial collocation for Volterra integral equations with constant delay. This analysis includes continuous collocation-based Volterra-Runge-Kutta methods as well as iterated collocation methods and their discretizations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1994-62-206/S0025-5718-1994-1213835-8/S0025-5718-1994-1213835-8.pdf

Reference20 articles.

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4. One-step collocation for delay differential equations;Bellen, A.;J. Comput. Appl. Math.,1984

5. Constrained mesh methods for functional-differential equations;Bellen, A.,1985

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