论文信息 - Energy-Preserving Variant of Collocation Methods 12

Energy-Preserving Variant of Collocation Methods 12

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 energypreserving composition methods. c © 2010 European Society of Computational Methods in Sciences and Engineering

E. Hairer

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