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Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

Authors :
M. R. Crisci
Antonia Vecchio
E. Russo
Zdzislaw Jackiewicz
Crisci, M. R.
Jackiewicz, Z.
Russo, Elvira
Vecchio, A.
Source :
Computing. 45:291-300
Publication Year :
1990
Publisher :
Springer Science and Business Media LLC, 1990.

Abstract

We investigate the stability of the numerical solutions resulting from applying very general classes of Runge-Kutta methods to Volterra integral and integro-differential equations with degenerate kernels. The results are generalizations of previous results obtained by the authors for exact collocation methods for these equations.

Details

ISSN :
14365057 and 0010485X
Volume :
45
Database :
OpenAIRE
Journal :
Computing
Accession number :
edsair.doi.dedup.....a8b4468035e89893c58184046bdfce4c
Full Text :
https://doi.org/10.1007/bf02238797