On the internal S-stability of Rosenbrock methods

DOI10.1016/0020-0190(80)90028-9zbMath0464.65049OpenAlexW2050151898MaRDI QIDQ1154221

S. H. Smith

Publication date: 1980

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-0190(80)90028-9

zbMATH Keywords

Rosenbrock methodsstiff differential equationssemi-implicit Runge-Kutta methodsinternal S-stability

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

An L(alpha)-stable fourth order Rosenbrock method with error estimator ⋮ Some minimum configurationL-stable rosenbrock methods with error estimators

Cites Work

• Order conditions for Rosenbrock type methods
• S-stability properties for generalized Runge-Kutta methods
• On an L-stable method for stiff differential equations
• Some general implicit processes for the numerical solution of differential equations
• Semi-Implicit Runge-Kutta Procedures with Error Estimates for the Numerical Integration of Stiff Systems of Ordinary Differential Equations
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