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posted on 17.06.2020 by A Durán , D Dutykh , Dimitrios Mitsotakis
© 2019 Elsevier B.V. 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 analysed 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.
History Preferred citation Durán, A., Dutykh, D. & Mitsotakis, D. (2019). On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization. Physica D: Nonlinear Phenomena, 397(7), 1-16. https://doi.org/10.1016/j.physd.2019.05.002 Journal title Physica D: Nonlinear Phenomena Volume 397 Issue 7 Publication date 01/10/2019 Pagination 1-16 Publisher Elsevier BV Publication status Published ISSN 0167-2789 Language en Exports Select an option RefWorks BibTeX Ref. manager Endnote DataCite NLM DC