Implementation of parallel three-point block codes for solving large systems of ordinary differential equations

DOI10.1080/00207160802380900zbMath1191.65087OpenAlexW1991141472MaRDI QIDQ3568471

Zanariah Abdul Majid, Mohamed Bin Suleiman

Publication date: 11 June 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: http://psasir.upm.edu.my/id/eprint/15124/1/Implementation%20of%20parallel%20three.pdf

zbMATH Keywords

numerical examplesparallel computationvariable step sizelarge systems of ordinary differential equationsAdams Moulton methodthree-point fully implicit block methods

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

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• Runge-Kutta-Nyström-type parallel block predictor-corrector methods
• Parallel iterated methods based on multistep Runge-Kutta methods of Radau type
• Parallel iterated method based on multistep Runge-Kutta methods of Radau type for stiff problems
• High order Runge--Kutta--Nyström codes for the integration of oscillatory problems.
• Parallel iterated methods based on variable step-size multistep Runge-Kutta methods of Radau type for stiff problems
• Comparing Numerical Methods for Ordinary Differential Equations

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