caa a22 4500 465751679 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02238797 doi (NATIONALLICENCE)springer-10.1007/BF02238797 Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels [Elektronische Daten] [M. Crisci, Z. Jackiewicz, E. Russo, A. Vecchio] Analyse der globalen Stabilität von Runge-Kutta Methoden für Volterrasche Integral und Integral-Differentialgleichungen mit degeneriertem Kern 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. Springer-Verlag, 1990 Volterra integral equation nationallicence Volterra integro-differential equation nationallicence Degenerate kernel nationallicence Stability nationallicence Runge-Kutta method nationallicence Crisci M. Dipartimento di Matematica e Applicazioni, Università di Napoli, via Mezzocannone 8, I-80134, Napoli, Italy aut Jackiewicz Z. Department of Mathematics, Arizona State University, 85287, Tempe, AZ, U.S.A. aut Russo E. Dipartimento di Matematica e Applicazioni, Università di Napoli, via Mezzocannone 8, I-80134, Napoli, Italy aut Vecchio A. Istituto per Applicazioni della Matematica, C.N.R., via P. Castellino 111, I-80131, Napoli, Italy aut Computing Springer-Verlag 45/4(1990-12-01), 291-300 0010-485X 45:4<291 1990 45 607 https://doi.org/10.1007/BF02238797 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02238797 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Crisci M. Dipartimento di Matematica e Applicazioni, Università di Napoli, via Mezzocannone 8, I-80134, Napoli, Italy aut NATIONALLICENCE 700 1- Jackiewicz Z. Department of Mathematics, Arizona State University, 85287, Tempe, AZ, U.S.A aut NATIONALLICENCE 700 1- Russo E. Dipartimento di Matematica e Applicazioni, Università di Napoli, via Mezzocannone 8, I-80134, Napoli, Italy aut NATIONALLICENCE 700 1- Vecchio A. Istituto per Applicazioni della Matematica, C.N.R., via P. Castellino 111, I-80131, Napoli, Italy aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/4(1990-12-01), 291-300 0010-485X 45:4<291 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer