Hybrid Methods in the Numerical Solution of Volterra Integro-differential Equations

DOI10.1093/imanum/2.1.21zbMath0486.65079OpenAlexW1968193713MaRDI QIDQ3947085

Athena Makroglou

Publication date: 1982

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/2.1.21

zbMATH Keywords

convergencenumerical examplesVolterra integro-differential equationshybrid methodstability regionsstability polynomial

Mathematics Subject Classification ID

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

Related Items

Some refinement of the notion of symmetry for the Volterra integral equations and the construction of symmetrical methods to solve them ⋮ A class of two-step collocation methods for Volterra integro-differential equations ⋮ The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations ⋮ A Block-by-Block Method for Volterra Integro-Differential Equations With Weakly-Singular Kernel ⋮ Convergence of a Block-by-Block Method for Nonlinear Volterra Integro-Differential Equations ⋮ Efficient general linear methods for a class of Volterra integro-differential equations ⋮ A block-by-block method for the numerical solution of Volterra delay integro-differential equations ⋮ A GLMs-based difference-quadrature scheme for Volterra integro-differential equations ⋮ On the numerical stability of the general linear methods for Volterra integro-differential equations ⋮ Extended backward differentiation formulae in the numerical solution of general Volterra integro-differential equations

This page was built for publication: Hybrid Methods in the Numerical Solution of Volterra Integro-differential Equations