A study of B-convergence of Runge-Kutta methods

DOI10.1007/BF02238189zbMath0572.65053OpenAlexW1534687602MaRDI QIDQ1062432

Kevin Burrage, Willem H. Hundsdorfer, Jan G. Verwer

Publication date: 1986

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238189

zbMATH Keywords

Runge-Kutta methodsstiff problemsB-convergence

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

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• The order of B-convergence of the Gaussian Runge-Kutta method
• B-convergence of the implicit midpoint rule and the trapezoidal rule
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• Order Results for Implicit Runge–Kutta Methods Applied to Stiff Systems
• On the Algebraic Equations in Implicit Runge–Kutta Methods
• Order stars and stability theorems
• The Concept of B-Convergence
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• OnA-stable implicit Runge-Kutta methods
• A special family of Runge-Kutta methods for solving stiff differential equations
• Stability and efficiency properties of implicit Runge-Kutta methods
• One-step methods of hermite type for numerical integration of stiff systems

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