S-stability properties for generalized Runge-Kutta methods

DOI10.1007/BF01399599zbMath0336.65036MaRDI QIDQ1230359

Jan G. Verwer

Publication date: 1977

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132459

Mathematics Subject Classification ID

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

Related Items (12)

Properties of Runge-Kutta-summation-by-parts methods ⋮ Stability and B-convergence of linearly implicit Runge-Kutta methods ⋮ Construction of explicit and generalized Runge-Kutta formulas of arbitrary order with rational parameters ⋮ On the internal S-stability of Rosenbrock methods ⋮ Comments on : T.D. Bui, On an L-stable method for stiff differential equations ⋮ Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations ⋮ An L(alpha)-stable fourth order Rosenbrock method with error estimator ⋮ An improved class of generalized Runge-Kutta methods for stiff problems. II: The separated system case ⋮ Two classes of explicit generalized runge-kutta processes for non- stiff systems of ordinary differential equations ⋮ Stabilitätseigenschaften adeptiver Runge-Kutta-Verfahren ⋮ An improved class of generalized Runge-Kutta methods for stiff problems. I: The scalar case ⋮ \(S\)-stability of piecewise-linearized and linearized \(\theta\)-methods

Cites Work

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• On generalized linear multistep methods with zero-parasitic roots and an adaptive principal root
• Some general implicit processes for the numerical solution of differential equations
• Comparing numerical methods for stiff systems of O.D.E:s
• On the Stability and Accuracy of One-Step Methods for Solving Stiff Systems of Ordinary Differential Equations
• A special stability problem for linear multistep methods

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