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Article Dans Une Revue Journal of Computational Physics Année : 2011

Comparison of some Lie-symmetry-based integrators

Résumé

Lie-symmetry based integrators are constructed in order to preserve the local invariance properties of the equations. The geometrical methods leading to discretized equations for numerical computations involve many different concepts. Therefore they give rise to numerical schemes that vary in the accuracy, in the computational cost and in the implementation. In this paper a comparison is made between some alternative Lie-symmetry based methods illustrated on the example of the Burgers equation. The importance of the symmetry preservation is numerically highlighted.

Dates et versions

hal-01298900 , version 1 (06-04-2016)

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Citer

M. Chhay, Emma Hoarau, A. Hamdouni, P. Sagaut. Comparison of some Lie-symmetry-based integrators. Journal of Computational Physics, 2011, 230 (5), pp.2174-2188. ⟨10.1016/j.jcp.2010.12.015⟩. ⟨hal-01298900⟩
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