Article ID Journal Published Year Pages File Type
5776088 Journal of Computational and Applied Mathematics 2017 28 Pages PDF
Abstract
In this paper, we present a highly accurate Hamiltonian structure-preserving numerical method for simulating Hamiltonian wave equations. This method is obtained by applying spectral variational integrators (SVI) to the system of Hamiltonian ODEs which are derived from the spatial semi-discretization of the Hamiltonian PDE. The spatial variable is discretized by using high-order symmetric finite-differences. An efficient implementation of SVI for high-dimensional systems of ODEs is presented.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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