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- W2011072012 abstract "Abstract Based on W -transformation, some parametric symplectic partitioned Runge–Kutta (PRK) methods depending on a real parameter α are developed. For α = 0 , the corresponding methods become the usual PRK methods, including Radau IA – I A ¯ and Lobatto IIIA – IIIB methods as examples. For any α ≠ 0 , the corresponding methods are symplectic and there exists a value α ∗ such that energy is preserved in the numerical solution at each step. The existence of the parameter and the order of the numerical methods are discussed. Some numerical examples are presented to illustrate these results." @default.
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- W2011072012 date "2013-02-01" @default.
- W2011072012 modified "2023-09-24" @default.
- W2011072012 title "Parametric symplectic partitioned Runge–Kutta methods with energy-preserving properties for Hamiltonian systems" @default.
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- W2011072012 doi "https://doi.org/10.1016/j.cpc.2012.09.012" @default.
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