Skip to Main content Skip to Navigation
Journal articles

On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization

Abstract : In this paper we consider the numerical approximation of systems of Boussinesq-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplectic and Hamiltonian formulations, well-posedness and existence of solitary-wave solutions) were previously analyzed by the authors in Part I. As a second part of the study, considered here is the construction of geometric schemes for the numerical integration. By using the method of lines, the geometric properties, based on the multi-symplectic and Hamiltonian structures, of different strategies for the spatial and time discretizations are discussed and illustrated.
Complete list of metadata

Cited literature [35 references]  Display  Hide  Download
Contributor : Denys DUTYKH Connect in order to contact the contributor
Submitted on : Wednesday, May 8, 2019 - 2:18:04 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:36 AM
Long-term archiving on: : Wednesday, October 2, 2019 - 6:23:01 AM


Files produced by the author(s)


Distributed under a Creative Commons Attribution - NonCommercial - ShareAlike 4.0 International License




Angel Durán, Denys Dutykh, Dimitrios Mitsotakis. On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization. Physica D: Nonlinear Phenomena, Elsevier, 2019, 397, pp.1-16. ⟨10.1016/j.physd.2019.05.002⟩. ⟨hal-02123559⟩



Record views


Files downloads