Construction of starting algorithms for the RK-Gauss methods

DOI10.1016/S0377-0427(98)00003-XzbMath0934.65138OpenAlexW1988946553MaRDI QIDQ1298497

M. P. Laburta

Publication date: 25 April 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00003-x

zbMATH Keywords

performancenumerical experimentsHamiltonian systemsRunge-Kutta methodssymplectic methodsstarting algorithms(RK)

Mathematics Subject Classification ID

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

Initializers for RK-Gauss methods based on pseudo-symplecticity, Are high order variable step equistage initializers better than standard starting algorithms?, Starting algorithms for Gauss Runge-Kutta methods for Hamiltonian systems., Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems., Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity, A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems, Starting algorithms for implicit Runge-Kutta-Nyström methods

Uses Software

• RODAS

Cites Work

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