Parallel implementation of interpolants for Runge-Kutta pairs

DOI10.1016/0168-9274(92)90028-CzbMath0749.65047WikidataQ127706245 ScholiaQ127706245MaRDI QIDQ1189152

Lawrence F. Shampine, Przemyslaw Bogacki

Publication date: 26 September 1992

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

zbMATH Keywords

parallel computationinterpolantdense outputexplicit Runge-Kutta pair

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)

Related Items (1)

A family of parallel Runge-Kutta pairs

Uses Software

• REDUCE

Cites Work

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• Interpolation for Runge–Kutta Methods
• Practical Aspects of Interpolation in Runge-Kutta Codes
• Runge–Kutta Defect Control Using Hermite–Birkhoff Interpolation
• Runge-Kutta triples
• Explicit Runge–Kutta Pairs with One More Derivative Evaluation than the Minimum
• On Hermite-Birkhoff interpolation

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