Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems
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Publication:1109532
DOI10.1007/BF01395815zbMath0655.65095MaRDI QIDQ1109532
Rüdiger Weiner, Jürgen Bruder, Karl Strehmel
Publication date: 1988
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133257
stiff systemsButcher seriesorder conditionsmatrix exponentialscomparisonsstepsize selectionstiffness detectionnonstiff systemsadaptive Runge-Kutta methodsexplicit s-stage Runge-Kutta method
Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
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B-convergence results for linearly implicit one step methods, Partitioning ordinary differential equations using Runge-Kutta methods, Varying the componentwise order of the multistep methods in solving ODEs and its absolute stability, Numerical results for a parallel linearly-implicit Runge-Kutta method, Singly-implicit Runge-Kutta methods for retarded and ordinary differential equations, Reciprocal polynomial extrapolation vs Richardson extrapolation for singular perturbed boundary problems, Partitioning methods for reaction-diffusion problems, Efficient variable stiffness methods for cooling of hot-rolled steel sections., Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods
Uses Software
Cites Work
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