A study of B-convergence of linearly implicit Runge-Kutta methods

DOI10.1007/BF02251252zbMath0662.65071OpenAlexW153782343MaRDI QIDQ1114354

Karl Strehmel, Rüdiger Weiner, I. Dannehl

Publication date: 1988

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02251252

zbMATH Keywords

numerical examplesimplicit midpoint ruleB-convergenceB-consistent orderlinearly implicit Runge-Kutta methodsstiff semi-linear problems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15)

Related Items (2)

High order linearly implicit methods for evolution equations ⋮ Finite element analysis of viscoelastic structures using Rosenbrock-type methods

Cites Work

• Unnamed Item
• Unnamed Item
• Partitioned adaptive Runge-Kutta methods and their stability
• A study of B-convergence of Runge-Kutta methods
• B-convergence of the implicit midpoint rule and the trapezoidal rule
• Stability and B-convergence of linearly implicit Runge-Kutta methods
• B-convergence results for linearly implicit one step methods
• On the stability of semi-implicit methods for ordinary differential equations
• The Concept of B-Convergence
• On Logarithmic Norms

This page was built for publication: A study of B-convergence of linearly implicit Runge-Kutta methods