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

DOI10.1007/BF02238797zbMath0724.65132MaRDI QIDQ758175

Elvira Russo, Zdzisław Jackiewicz, Antonia Vecchio, Maria Rosaria Crisci

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

stabilitycollocation methodsinitial-value problemRunge-Kutta methodsVolterra integro-differential equationsVolterra integral equationsdegenerate kernel

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (5)

Fractional collocation boundary value methods for the second kind Volterra equations with weakly singular kernels ⋮ Nonlinear stability of direct quadrature methods for Volterra integral equations ⋮ Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels ⋮ Time-stepping schemes for systems of Volterra integro-differential equations ⋮ Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels

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