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- W4301331194 abstract "We introduce a novel technique for constructing higher-order variational integrators for Hamiltonian systems of ODEs. In particular, we are concerned with generating globally smooth approximations to solutions of a Hamiltonian system. Our construction of the discrete Lagrangian adopts Hermite interpolation polynomials and the Euler-Maclaurin quadrature formula, and involves applying collocation to the Euler-Lagrange equation and its prolongation. Considerable attention is devoted to the order analysis of the resulting variational integrators in terms of approximation properties of the Hermite polynomials and quadrature errors. A performance comparison is presented on a selection of these integrators." @default.
- W4301331194 created "2022-10-05" @default.
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- W4301331194 date "2011-01-10" @default.
- W4301331194 modified "2023-09-27" @default.
- W4301331194 title "Prolongation-Collocation Variational Integrators" @default.
- W4301331194 doi "https://doi.org/10.48550/arxiv.1101.1995" @default.
- W4301331194 hasPublicationYear "2011" @default.
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