2 citations · 3 across the 4 of their papers we have counts for
6 papers
Notes on the Boussinesq-Full dispersion systems for internal waves: Numerical solution and solitary waves
V. A. Dougalis, A. Durán, L. Saridaki
In this paper we study some theoretical and numerical issues of the Boussinesq/Full dispersion system. This is a a three-parameter system of pde's that models the propagation of in…
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…
Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes
Vassilios A. Dougalis, Angel Durán, Leetha Saridaki
The paper is concerned with the numerical approximation of the Intermediate Long Wave and Benjamin-Ono systems, that serve as models for the propagation of interfacial internal wav…
Notes on numerical analysis and solitary wave solutions of Boussinesq/Boussinesq systems for internal waves
V. A. Dougalis, A. Duran, L. Saridaki
In this paper a three-parameter family of Boussinesq systems is studied. The systems have been proposed as models of the propagation of long internal waves along the interface of a…
Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography
G. Kounadis, D. C. Antonopoulos, V. A. Dougalis
We consider two `Classical' Boussinesq type systems modelling two-way propagation of long surface waves in a finite channel with variable bottom topography. Both systems are derive…
Notes on a high order fully discrete scheme for the Korteweg-de vries equation with a time-stepping procedure of Runge-Kutta-composition type
Vassilios A. Dougalis, Angel Durán
We consider the periodic initial-value problem for the Korteweg-de Vries equation that we discretize in space by a spectral Fourier-Galerkin method and in time by an implicit, high…