On error behaviour of partitioned linearly implicit Runge-Kutta methods for stiff and differential algebraic systems

DOI10.1007/BF02017354zbMath0702.65073OpenAlexW1992187514MaRDI QIDQ915391

I. Dannehl, Rüdiger Weiner, Karl Strehmel

Publication date: 1990

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02017354

zbMATH Keywords

numerical examplesdifferential algebraic systems of index 1global orderOrder conditionspartitioned linearly implicit Runge-Kutta methodsstiff singularly perturbed problems

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) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

• Partitioned adaptive Runge-Kutta methods and their stability
• B-convergence results for linearly implicit one step methods
• One-step and extrapolation methods for differential-algebraic systems
• Error of Rosenbrock methods for stiff problems studied via differential algebraic equations
• On the stability of semi-implicit methods for ordinary differential equations
• Rosenbrock methods for differential algebraic equations
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