Open Access Te Herenga Waka-Victoria University of Wellington
Browse

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

journal contribution
posted on 2020-06-17, 22:03 authored by A Durán, D Dutykh, Dimitrios MitsotakisDimitrios 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

2019-10-01

Pagination

1-16

Publisher

Elsevier BV

Publication status

Published

ISSN

0167-2789

Language

en

Usage metrics

    Journal articles

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC