Implicit Runge-Kutta-Nyström methods for general second-order Volterra integro differential equations

DOI10.1016/0898-1221(87)90050-2zbMath0632.65137OpenAlexW1990374812MaRDI QIDQ1095622

Hermann Brunner

Publication date: 1987

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(87)90050-2

zbMATH Keywords

convergence ratesGauss quadratureLobatto quadratureNumerical experimentsCollocation methodsOptimal order of convergenceRadau II quadratureVolterra integro differential equations

Mathematics Subject Classification ID

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

Related Items

Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ Accurate computation of the field in Pippard's nonlocal superconductivity model ⋮ Fully spectral collocation method for nonlinear parabolic partial integro-differential equations ⋮ Algorithms for the solution of second order Volterra integro-differential equations ⋮ Orthogonal cubic spline basis and its applications to a partial integro-differential equation with a weakly singular kernel ⋮ The spectral methods for parabolic Volterra integro-differential equations ⋮ Time-stepping schemes for systems of Volterra integro-differential equations ⋮ A perspective on the numerical treatment of Volterra equations

Cites Work

• Unnamed Item
• Unnamed Item
• High-order methods for the numerical solution of Volterra integro- differential equations
• Collocation methods for second-order Volterra integro-differential equations
• Implicit Runge-Kutta Methods of Optimal Order for Volterra Integro-Differential Equations
• An integro-differential equation with application in heat flow
• A model for one-dimensional, nonlinear viscoelasticity
• Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations
• Volterra integral and differential equations