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Title

Energy-preserving variant of collocation methods

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Published in Journal of Numerical Analysis, Industrial and Applied Mathematics. 2010, vol. 5, p. 73-84
Abstract We propose a modification of collocation methods extending the `averaged vector field method' to high order. These new integrators exactly preserve energy for Hamiltonian systems, are of arbitrarily high order, and fall into the class of B-series integrators. We discuss their symmetry and conjugate-symplecticity, and we compare them to energy-preserving composition methods.
Keywords Hamiltonian systemsEnergy-preserving integratorsB-seriesRunge--Kutta methodsCollocationConjugate-symplecticitySymmetryGaussian quadrature
Stable URL http://archive-ouverte.unige.ch/unige:12126
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Deposited on : 2010-10-18

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