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Starting algorithms for the iterations of the RKN-Gauss methods

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Publication:1807668
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DOI10.1016/S0168-9274(98)00124-XzbMath0935.65076OpenAlexW2050765506WikidataQ128080955 ScholiaQ128080955MaRDI QIDQ1807668

M. P. Laburta

Publication date: 24 April 2000

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(98)00124-x


zbMATH Keywords

numerical experimentsimplicit Runge-Kutta methodsGauss methodsRunge-Kutta-Nyström methodstarting algorithmssymplectic implicit Runge-Kutta methods


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 (1)

Performance of Gauss implicit Runge-Kutta methods on separable Hamiltonian systems.




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