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On the numerical approximation of Boussinesq/Boussinesq systems for internal waves
Vassilios A. Dougalis, Angel Duran and Leetha Saridaki Numerical Methods for Partial Differential Equations 39(5) 3677 (2023) https://doi.org/10.1002/num.23021
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
Equations for small amplitude shallow water waves over small bathymetric variations
Samer Israwi, Youssef Khalifeh and Dimitrios Mitsotakis Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 479(2277) (2023) https://doi.org/10.1098/rspa.2023.0191
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis
Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom
Luis Fernando Mejía and Juan Carlos Muñoz Grajales Communications in Nonlinear Science and Numerical Simulation 102 105951 (2021) https://doi.org/10.1016/j.cnsns.2021.105951
Boussinesq-Peregrine water wave models and their numerical approximation
The solution of nonlinear Green–Naghdi equation arising in water sciences via a meshless method which combines moving kriging interpolation shape functions with the weighted essentially non–oscillatory method
On the use of the finite fault solution for tsunami generation problems
Denys Dutykh, Dimitrios Mitsotakis, Xavier Gardeil and Frédéric Dias Theoretical and Computational Fluid Dynamics 27(1-2) 177 (2013) https://doi.org/10.1007/s00162-011-0252-8
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
DENYS DUTYKH, DIDIER CLAMOND, PAUL MILEWSKI and DIMITRIOS MITSOTAKIS European Journal of Applied Mathematics 24(5) 761 (2013) https://doi.org/10.1017/S0956792513000168
Mechanical Balance Laws for Boussinesq Models of Surface Water Waves