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Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels |
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| Authors: | M. R. Crisci Z. Jackiewicz E. Russo A. Vecchio |
| Affiliation: | 1. Dipartimento di Matematica e Applicazioni, Università di Napoli, via Mezzocannone 8, I-80134, Napoli, Italy 2. Department of Mathematics, Arizona State University, 85287, Tempe, AZ, U.S.A. 3. Istituto per Applicazioni della Matematica, C.N.R., via P. Castellino 111, I-80131, Napoli, Italy |
| 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. |
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