13 citations · 16 across the 4 of their papers we have counts for
3 papers · 1 filter
On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations
D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis
We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. W…
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson
We develop a general framework for designing conservative numerical methods based on summation by parts operators and split forms in space, combined with relaxation Runge-Kutta met…
Boussinesq-Peregrine water wave models and their numerical approximation
Theodoros Katsaounis, Dimitrios Mitsotakis, George Sadaka
In this paper we consider the numerical solution of Boussinesq-Peregrine type systems by the application of the Galerkin finite element method. The structure of the Boussinesq syst…