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- W2050979556 abstract "We prove that the numerical solution of partitioned Runge-Kutta methods applied to constrained Hamiltonian systems (e.g., the Rattle algorithm or the Lobatto IIIA–IIIB pair) is formally equal to the exact solution of a constrained Hamiltonian system with a globally defined modified Hamiltonian. This property is essential for a better understanding of their longtime behaviour. As an illustration, the equations of motion of an unsymmetric top are solved using a parameterization with Euler parameters." @default.
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- W2050979556 date "2003-08-01" @default.
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- W2050979556 title "Global modified Hamiltonian for constrained symplectic integrators" @default.
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- W2050979556 doi "https://doi.org/10.1007/s00211-002-0428-7" @default.
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