Iterated collocation methods for Volterra integral equations with delay arguments

Brunner, Hermann

doi:10.1090/S0025-5718-1994-1213835-8

Iterated collocation methods for Volterra integral equations with delay arguments
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Math. Comp. 62 (1994), 581-599 Request permission

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.

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