The adaptation of STRIDE to delay differential equations

DOI10.1016/0168-9274(92)90031-8zbMath0776.65049OpenAlexW2126227593MaRDI QIDQ1189157

John C. Butcher

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90031-8

zbMATH Keywords

delay differential equationsRunge-Kutta methodsdifferential equation solver STRIDE

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05)

Related Items

Stepsize control and continuity consistency for state-dependent delay- differential equations, A mixed finite element for the Stokes problem using quadrilateral elements, Issues in the numerical solution of evolutionary delay differential equations, Segmented tau approximation for test neutral functional differential equations, The Numerical Integration of Neutral Functional‐Differential Equations by Fully Implicit One‐Step Methods, The Numerical Integration of Neutral Functional‐Differential Equations by Fully Implicit One‐Step Methods, Numerical computation of derivatives in systems of delay differential equations, Computing breaking points in implicit delay differential equations, Sharpness results for state dependent delay differential equations: An overview

Cites Work

• Towards efficient implementation of singly-implicit methods
• A Transformed implicit Runge-Kutta Method
• An implementation of singly-implicit Runge-Kutta methods
• On the implementation of implicit Runge-Kutta methods
• Runge-Kutta methods with a multiple real eigenvalue only
• A special family of Runge-Kutta methods for solving stiff differential equations