Stability of collocation methods for Volterra integro-differential equations

DOI10.1216/jiea/1181075711zbMath0768.65089OpenAlexW1995796150MaRDI QIDQ1208133

Elvira Russo, Antonia Vecchio, Maria Rosaria Crisci

Publication date: 16 May 1993

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075711

zbMATH Keywords

stabilitycollocation methodsVolterra integro-differential equationsdegenerate kernel

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (5)

Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Multistep collocation methods for Volterra integro-differential equations ⋮ Stability analysis of Runge-Kutta methods for Volterra integro-differential equations ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ A perspective on the numerical treatment of Volterra equations

Cites Work

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• Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations
• Stability and periodic solutions of ordinary and functional differential equations
• On the stability of the one-step exact collocation methods for the numerical solution of the second kind Volterra integral equation
• Stability of numerical methods for Volterra integro-differential equations
• On the Stability of Volterra–Runge–Kutta Methods
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• On the Stability of Linear Multistep Methods for Volterra Convolution Equations
• On the stability of volterra integral equations with seperable kernels
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Stability Results for One-Step Discretized Collocation Methods in the Numerical Treatment of Volterra Integral Equations

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