Parallelism across time in ODEs

DOI10.1016/0168-9274(93)90039-TzbMath0798.65076OpenAlexW2155072081MaRDI QIDQ686543

Xuhai Xu, C. William Gear

Publication date: 10 October 1993

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(93)90039-t

zbMATH Keywords

convergencenumerical examplesiterative methodsstability regionnumerical testlarge-scale parallelism

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (7)

Validation of results of collocation methods for ODEs with CADNA library ⋮ EFFICIENT PARALLEL METHODS FOR SPECIAL SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS ⋮ Parallel methods for initial value problems ⋮ Parallel step-by-step methods ⋮ Stability of parallel Volterra-Runge-Kutta methods ⋮ Speculative parallel processing applied to modelling of initial problems ⋮ CWI contributions to the development of parallel Runge-Kutta methods

Cites Work

• Massive parallelism across space in ODEs
• Iterated Runge–Kutta Methods on Parallel Computers
• Blended Linear Multistep Methods
• Parallel Methods for the Numerical Integration of Ordinary Differential Equations
• Block Implicit One-Step Methods
• The automatic integration of ordinary differential equations
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