Newton--Cotes formulae for long-time integration. (Q1408398)

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scientific article; zbMATH DE number 1981522
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Newton--Cotes formulae for long-time integration.
scientific article; zbMATH DE number 1981522

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    Newton--Cotes formulae for long-time integration. (English)
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    15 September 2003
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    This paper proposes linear multistep methods based on closed Newton-Cotes formulae for solving Hamiltonian problems. The analysis is very brief and considers only a trivial linear problem and seems to contradict theory on the general applicability of linear multistep methods for Hamiltonian problems.
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    linear multistep method
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    Newton-Cotes formula
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    Hamiltonian system
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    long-time integration
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    symplectic integrator
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