A GLMs-based difference-quadrature scheme for Volterra integro-differential equations

DOI10.1016/j.apnum.2021.02.001zbMath1464.65072OpenAlexW3126341931WikidataQ115360351 ScholiaQ115360351MaRDI QIDQ1995979

Gholamreza Hojjati, A. Y. J. Almasoodi, Ali Abdi

Publication date: 2 March 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2021.02.001

zbMATH Keywords

linear stabilityordinary differential equationsRunge-Kutta methodsVolterra integro-differential equationsgeneral linear methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Volterra integral equations (45D05)

Related Items (1)

A class of two-step collocation methods for Volterra integro-differential equations

Uses Software

• DIMSIM

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Runge-Kutta theory for Volterra integrodifferential equations
• \(A\)-stable parallel block methods for ordinary and integro-differential equations
• Implicit Runge-Kutta methods for second kind Volterra integral equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Construction of high order diagonally implicit multistage integration methods for ordinary differential equations
• Diagonally implicit general linear methods for ordinary differential equations
• Implementation of DIMSIMs for stiff differential systems
• Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability
• The linear barycentric rational method for a class of delay Volterra integro-differential equations
• Efficient general linear methods for a class of Volterra integro-differential equations
• Unconditionally stable general linear methods for ordinary differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Experiments with a variable-order type 1 DIMSIM code
• A new code for Volterra integral equations based on natural Runge-Kutta methods
• On the numerical stability of the general linear methods for Volterra integro-differential equations
• Natural Volterra Runge-Kutta methods
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• Linear Multistep Methods for Volterra Integral and Integro-Differential Equations
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• Hybrid Methods in the Numerical Solution of Volterra Integro-differential Equations
• Implementation of Diagonally Implicit Multistage Integration Methods for Ordinary Differential Equations
• The Barycentric Rational Difference-Quadrature Scheme for Systems of Volterra Integro-differential Equations
• Note on the Numerical Solution of Integro-Differential Equations
• Some methods for the solution of non-singular Volterra integro-differential equations
• Linear Multistep Methods for Volterra Integro-Differential Equations
• Numerical Methods for Ordinary Differential Equations

This page was built for publication: A GLMs-based difference-quadrature scheme for Volterra integro-differential equations