Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden

DOI10.1007/BF02249938zbMath0483.65043OpenAlexW401295754MaRDI QIDQ1163342

Karl Strehmel, Rüdiger Weiner

Publication date: 1982

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02249938

zbMATH Keywords

stiff problemslinear implicit methodsadaptive Runge-Kutta-methodsLS-stable

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

B-convergence results for linearly implicit one step methods, Defect corrected averaging for highly oscillatory problems, Multirate infinitesimal step methods for atmospheric flow simulation, Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems, A type insensitive code for delay differential equations basing on adaptive and explicit Runge-Kutta interpolation methods, Numerical results for a parallel linearly-implicit Runge-Kutta method, Adaptive Nyström-Runge-Kutta-Methoden für gewöhnliche Differentialgleichungssysteme zweiter Ordnung, Order results for Rosenbrock type methods on classes of stiff equations, Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators, Krylov-ROW methods for DAEs of index 1 with applications to viscoelasticity, Partitioned Runge-Kutta methods with stiffness detection and stepsize control, Lokale Fehlerschätzung mittels modifizierter Richardson-Extrapolation in linear impliziten Einschrittverfahren, Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods, Partitioned adaptive Runge-Kutta methods and their stability

Uses Software

• GEAR

Cites Work

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• On Generalized Runge-Kutta Methods Using an Exact Jacobian at a Non-Step Point
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• 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
• Nineteen Dubious Ways to Compute the Exponential of a Matrix