A generalization of singly-implicit Runge-Kutta methods

DOI10.1016/S0168-9274(97)00031-7zbMath0906.65076MaRDI QIDQ1360555

John C. Butcher, Philippe Chartier

Publication date: 24 January 1999

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

zbMATH Keywords

numerical examplesRunge-Kutta methodseffective ordersingly-implicit methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (10)

Runge–Kutta Methods for Ordinary Differential Equations ⋮ Symplectic effective order methods ⋮ The efficiency of singly-implicit Runge-Kutta methods for stiff differential equations ⋮ Applications of doubly companion matrices ⋮ Effective order of partitioned Runge-Kutta methods ⋮ General linear methods for ordinary differential equations ⋮ Study on banded implicit Runge-Kutta methods for solving stiff differential equations ⋮ Symplectic effective order numerical methods for separable Hamiltonian systems ⋮ Order and effective order ⋮ ESIRK methods and variable stepsize

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The effective order of singly-implicit Runge-Kutta methods
• Towards Efficient Runge–Kutta Methods for Stiff Systems
• The solution of a combustion problem with Rosenbrock methods
• 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
• A special family of Runge-Kutta methods for solving stiff differential equations
• Local Estimation of the Global Discretization Error

This page was built for publication: A generalization of singly-implicit Runge-Kutta methods