High order starting iterates for implicit Runge-Kutta methods: an improvement for variable-step symplectic integrators

DOI10.1093/imanum/22.1.153zbMath0997.65138OpenAlexW2036475818MaRDI QIDQ2783768

Publication date: 17 November 2002

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/22.1.153

zbMATH Keywords

numerical examples Hamiltonian systems canonical system implicit Runge-Kutta methods time-series symplectic mappings starting procedure Kepler-problem outer solar system

Mathematics Subject Classification ID

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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 ⋮ A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems ⋮ Stage value predictors for additive and partitioned Runge-Kutta methods

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