Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems
DOI10.1007/BF02142695zbMath0814.65080OpenAlexW2920841762MaRDI QIDQ1344111
W. A. van der Veen, P. J. van der Houwen, B. P. Sommeijer
Publication date: 22 June 1995
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02142695
preconditioningparallel computationiteration methodsstiff initial value problemsparallel diagonally implicit Runge-Kutta approachRunge-Kutta formula of Radau IIA type
Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Multiple scale methods for ordinary differential equations (34E13)
Related Items (5)
Uses Software
Cites Work
- The search for the Holy Grail, or: Predictor-corrector methods for solving ODEIVPs
- Parallel ODE-solvers with stepsize control
- Preconditioning in parallel Runge-Kutta methods for stiff initial value problems
- Parallelism across the steps in iterated Runge-Kutta methods for stiff initial value problems
- Iterated Runge–Kutta Methods on Parallel Computers
- Embedded Diagonally Implicit Runge-Kutta Algorithms on Parallel Computers
- The Effect of Variable Mesh Size on the Stability of Multistep Methods
- Comparing numerical methods for stiff systems of O.D.E:s
- On the Convergence of Numerical Solutions to Ordinary Differential Equations
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