PARALLEL PREDICTOR-CORRECTOR METHODS FOR THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS II

DOI10.1142/S0129183199000097zbMath0945.65084OpenAlexW1988063168MaRDI QIDQ4488308

A. M. Mazzone

Publication date: 5 July 2000

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129183199000097

zbMATH Keywords

algorithmsstabilityparallel computationmultistep methodsmolecular dynamicsAdams-Bashforth methodsperformance compaison

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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) Error bounds for numerical methods for ordinary differential equations (65L70) Complexity and performance of numerical algorithms (65Y20)

Cites Work

• Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods
• Solving Nonstiff Ordinary Differential Equations—The State of the Art
• Parallel Solution of Ordinary Differential Equations
• Analysis of Serial and Parallel Algorithms for Use in Molecular Dynamics.
• A Survey of Parallelism in Numerical Analysis