Midway reassignment of Runge–Kutta step length

DOI10.1002/mma.9469zbMath1530.65075MaRDI QIDQ6179576

Theodore E. Simos, Vladislav N. Kovalnogov, Unnamed Author, Ch. Tsitouras, Ruslan V. Fedorov, Unnamed Author

Publication date: 16 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

error estimationstep size controlvariable coefficientsRunge-Kutta

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• A PI stepsize control for the numerical solution of ordinary differential equations
• A family of embedded Runge-Kutta formulae
• Solving Ordinary Differential Equations I
• Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
• Two FORTRAN packages for assessing initial value methods
• Fourth- and Fifth-Order, Scaled Rungs–Kutta Algorithms for Treating Dense Output
• A family of fifth-order Runge-Kutta pairs

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