Two-step high order starting values for implicit Runge--Kutta methods

DOI10.1023/A:1024281802353zbMath1024.65055MaRDI QIDQ1397304

M. P. Laburta, Manuel Calvo, Juan I. Montijano

Publication date: 27 July 2003

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsHamiltonian systemsorder conditionsRunge-Kutta-Gauss methodsstarting algorithms

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (5)

Initializers for RK-Gauss methods based on pseudo-symplecticity ⋮ Are high order variable step equistage initializers better than standard starting algorithms? ⋮ Starting algorithms for a class of RK methods for index-2 DAEs ⋮ An efficient scheme for the implementation of implicit Runge-Kutta methods ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods

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