On a parallel mesh-chopping algorithm for a class of initial value problems using fourth-order explicit Runge-Kutta method

DOI10.1016/S0096-3003(02)00393-4zbMath1025.65041OpenAlexW2058767230MaRDI QIDQ1399822

D. Massart

Publication date: 30 July 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00393-4

zbMATH Keywords

numerical exampleparallel computationinitial value problemsRunge-Kutta methodsmesh-chopping algorithm

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Parallel algorithms for solving initial value problems: Front broadening and embedded parallelism
• Parallel algorithms for initial value problems: Parallel shooting
• Parallel block predictor-corrector methods of Runge-Kutta type
• A parallel mesh chopping algorithm for a class of two-point boundary value problems
• On the Theory of Parallel Runge—Kutta Methods
• Finite difference methods for solving
• Unnamed Item