On diagonally iterated Runge-Kutta methods for dissipative ODEs

DOI10.1016/S0377-0427(97)00229-XzbMath0914.65079MaRDI QIDQ1392789

Philippe Chartier

Publication date: 7 June 1999

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

zbMATH Keywords

numerical resultsstiff systemsdissipative systemsRunge-Kutta methodsdiagonal iterationssingly 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) Multiple scale methods for ordinary differential equations (34E13)

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Iterative schemes for Gauss methods
• On the diagonal approximation of full matrices
• Iterated Runge–Kutta Methods on Parallel Computers
• A Transformed implicit Runge-Kutta Method
• Runge-Kutta methods with a multiple real eigenvalue only
• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• A special family of Runge-Kutta methods for solving stiff differential equations
• Solving Ordinary Differential Equations II

This page was built for publication: On diagonally iterated Runge-Kutta methods for dissipative ODEs