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Zbl 1041.65104
Kalogiratou, Z.; Simos, T. E.
Newton--Cotes formulae for long-time integration. (English)
[J] J. Comput. Appl. Math. 158, No. 1, 75-82 (2003). ISSN 0377-0427

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.
[Kevin Burrage (Brisbane)]
MSC 2000:
*65P10 Hamiltonian systems including symplectic integrators
37M15 Symplectic integrators

Keywords: linear multistep method; Newton-Cotes formula; Hamiltonian system; long-time integration; symplectic integrator

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