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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
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
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
The Boussinesq systems on the background of a line solitary wave
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
A modified Galerkin/finite element method for the numerical solution of the Serre‐Green‐Naghdi system
D. Mitsotakis, C. Synolakis and M. McGuinness International Journal for Numerical Methods in Fluids 83(10) 755 (2017) https://doi.org/10.1002/fld.4293
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
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