Nullspaces yield new explicit Runge-Kutta pairs

DOI10.1007/s11075-023-01731-6zbMATH Open1545.65305MaRDI QIDQ6559453

James H. Verner

Publication date: 21 June 2024

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

order conditionssimplifying conditionsexplicit Runge-Kutta pairsnullspaces

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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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• Numerically optimal Runge-Kutta pairs with interpolants
• An eighth order Runge-Kutta process with eleven function evaluations per step
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• Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
• Families of Imbedded Runge–Kutta Methods
• Explicit Runge–Kutta Pairs with One More Derivative Evaluation than the Minimum
• Coefficients for the study of Runge-Kutta integration processes
• Some Explicit Runge”Kutta Methods of High Order
• B-Series

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