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Coherent discrete embeddings for Lagrangian and Hamiltonian systems
Lagrangian systems Hamiltonian systems variational integrators discrete embeddings numerical schemes
2011/8/25
Abstract: The general topic of the present paper is to study the conservation for some structural property of a given problem when discretising this problem. Precisely we are interested with Lagrangia...
Energy-preserving numerical schemes of high accuracy for one-dimensional Hamiltonian systems
geometric numerical integration long time numerical evolution
2010/12/15
We present a class of non-standard numerical schemes which are modifications of the discrete gradient method. They preserve the energy integral exactly (up to the round-off error). The considered clas...