Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations

DOI10.1007/BF01396328zbMath0629.65145OpenAlexW1988622776MaRDI QIDQ1094127

Rossana Vermiglio

Publication date: 1988

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133285

zbMATH Keywords

piecewise polynomial functionsVolterra integrodifferential equationsRunge-Kutta (RK) methodsminimal number of kernel evaluationsnatural continuous extensions

Mathematics Subject Classification ID

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

Related Items

Continuous Runge-Kutta methods for neutral Volterra integro-differential equations with delay ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Stability analysis of the de Hoog and Weiss implicit Runge-Kutta methods for the Volterra integral and integrodifferential equations ⋮ Nonlinear stability of one-leg methods for neutral Volterra delay-integro-differential equations ⋮ Stability of collocation methods for Volterra integro-differential equations ⋮ Stability analysis of Runge-Kutta methods for Volterra integro-differential equations ⋮ Some applications of continuous Runge-Kutta methods ⋮ Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations ⋮ Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels

Cites Work

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