Stability results for one-step discretized collocation methods in the numerical treatment of Volterra integral equations-Reference-Cited by-同舟云学术

Stability results for one-step discretized collocation methods in the numerical treatment of Volterra integral equations

Published:1992 Issue:197 Volume:58 Page:119-134
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Crisci M. R.,Russo E.,Vecchio A.

Abstract

This paper is concerned with the stability analysis of the discretized collocation method for the second-kind Volterra integral equation with degenerate kernel. A fixed-order recurrence relation with variable coefficients is derived, and local stability conditions are given independent of the discretization. Local stability and stability with respect to an isolated perturbation of some methods are proved. The reliability of the derived stability conditions is shown by numerical experiments.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1992-58-197/S0025-5718-1992-1106963-7/S0025-5718-1992-1106963-7.pdf

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