Continuous Volterra-Runge-Kutta methods for integral equations with pure delay

DOI10.1007/BF02243812zbMath0782.65150OpenAlexW79444176MaRDI QIDQ685856

Hermann Brunner, Natalie Baddour

Publication date: 18 October 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02243812

zbMATH Keywords

Volterra integral equationspiecewise polynomial collocation methodslocal superconvergencecontinuous Runge-Kutta type methodsdelay Volterra equationsGauss- Runge-Kutta methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (5)

Spline collocation methods for nonlinear Volterra integral equations with unknown delay ⋮ A super-attainable order in collocation methods for differential equations with proportional delay ⋮ Open problems in the discretization of volterra integral equations ⋮ On the discretization of differential and Volterra integral equations with variable delay ⋮ On collocation methods for delay differential and Volterra integral equations with proportional delay

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• Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations
• On the numerical stability of Volterra integral equations with delay argument
• Iterated Collocation Methods and Their Discretizations for Volterra Integral Equations
• Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind and Their Applications

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