On implicit Runge-Kutta methods with high stage order

DOI10.1007/BF02510182zbMath0871.65068OpenAlexW1966540454MaRDI QIDQ678227

Claus Bendtsen

Publication date: 1 October 1997

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02510182

zbMATH Keywords

stabilityimplicit Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Rational methods with optimal order of convergence for partial differential equations ⋮ Spectral/Rosenbrock discretizations without order reduction for linear parabolic problems

Uses Software

• RODAS

Cites Work

• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Algebraically Stable and Implementable Runge-Kutta Methods of High Order
• Unnamed Item
• Unnamed Item

This page was built for publication: On implicit Runge-Kutta methods with high stage order