Numerical results for a parallel linearly-implicit Runge-Kutta method

DOI10.1007/BF02684476zbMath0890.65078OpenAlexW2041857960MaRDI QIDQ1377293

Jürgen Bruder

Publication date: 4 February 1998

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684476

zbMATH Keywords

comparison of methodsnumerical examplesparallel computationlinearly-implicit Runge-Kutta methodsRadau 5

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Uses Software

• RODAS

Cites Work

• Unnamed Item
• Parallel methods for initial value problems
• Analysis of parallel diagonally implicit iteration of Runge-Kutta methods
• Partitioned adaptive Runge-Kutta methods for the solution of nonstiff and stiff systems
• On implicity Runge-Kutta methods with a stability function having distinct real poles
• A reliable Rosenbrock integrator for stiff differential equations
• Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden
• Linearly-implicit Runge-Kutta methods based on implicit Runge-Kutta methods
• The Numerical Solution of Separably Stiff Systems by Precise Partitioning
• Nichtlineare Stabilität adaptiver Runge-Kutta Methoden

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