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math.NA2020★ 9 cited
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…
math.NA2020
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…
math.NA2020
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…