On explicit two-derivative Runge-Kutta methods

DOI10.1007/s11075-009-9349-1zbMath1185.65122OpenAlexW2054313441MaRDI QIDQ849287

Robert P. K. Chan, Angela Y. J. Tsai

Publication date: 25 February 2010

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

Full work available at URL: https://doi.org/10.1007/s11075-009-9349-1

zbMATH Keywords

numerical examplesRunge-Kutta methodsorder conditionsstability regionstepsize controlrooted treesexplicit methodsstage ordermildly stiff problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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Uses Software

• RODAS

Cites Work

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