Implementation of general linear methods for Volterra integral equations

DOI10.1016/j.cam.2020.113261zbMath1460.65158OpenAlexW3095751941MaRDI QIDQ2223792

Yanyan Li

Publication date: 3 February 2021

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113261

zbMATH Keywords

Volterra integral equationsgeneral linear methodslocal error estimationNordsieck techniqueadaptive stepsize

Mathematics Subject Classification ID

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

Related Items (2)

Recent advances in the numerical solution of Volterra integral equations ⋮ Solving linear Volterra integral equations with a piecewise linear maximum entropy method

Cites Work

• Unnamed Item
• Unnamed Item
• Two-step diagonally-implicit collocation based methods for Volterra integral equations
• Construction of efficient general linear methods for stiff Volterra integral equations
• Exponential fitting direct quadrature methods for Volterra integral equations
• An efficient and fast parallel method for Volterra integral equations of Abel type
• General linear methods for Volterra integral equations
• Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels
• Multistep collocation methods for Volterra integral equations
• Automatic selection of the initial step size for an ODE solver
• A PI stepsize control for the numerical solution of ordinary differential equations
• Superconvergence of collocation methods for Volterra and Abel integral equations of the second kind
• An extrapolation method with step size control for nonlinear Volterra integral equations
• Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability
• Automatic control and adaptive time-stepping
• A new code for Volterra integral equations based on natural Runge-Kutta methods
• General linear methods with large stability regions for Volterra integral equations
• Construction and implementation of two-step continuous methods for Volterra integral equations
• Natural Volterra Runge-Kutta methods
• Two-step almost collocation methods for Volterra integral equations
• Variable Step Size Predictor-Corrector Schemes for Second Kind Volterra Integral Equations
• The Numerical Solution of Nonlinear Volterra Integral Equations of the Second Kind by Collocation and Iterated Collocation Methods
• Piecewise Polynomial Collocation for Volterra-type Integral Equations of the Second Kind
• Control-theoretic techniques for stepsize selection in implicit Runge-Kutta methods
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
• Numerical Methods for Ordinary Differential Equations

This page was built for publication: Implementation of general linear methods for Volterra integral equations