Runge-Kutta theory for Volterra and Abel integral equations of the second kind-Reference-Cited by-同舟云学术

Runge-Kutta theory for Volterra and Abel integral equations of the second kind

Published:1983 Issue:163 Volume:41 Page:87-102
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Lubich Ch.

Abstract

The present paper develops the local theory of general Runge-Kutta methods for a broad class of weakly singular and regular Volterra integral equations of the second kind. Further, the smoothness properties of the exact solutions of such equations are investigated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1983-41-163/S0025-5718-1983-0701626-6/S0025-5718-1983-0701626-6.pdf

Reference14 articles.

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3. Runge-Kutta theory for Volterra integral equations of the second kind;Brunner, H.;Math. Comp.,1982

4. Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind;Brunner, Hermann;Numer. Math.,1980

5. H. Brunner & H. J. J. te Riele, Volterra-Type Integral Equations of the Second Kind with Non-Smooth Solutions: High-Order Methods Based on Collocation Techniques, Report NW 118, Mathematisch Centrum, Amsterdam, 1982.

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