12 citations · 30 across the 9 of their papers we have counts for
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A numerical method for two-dimensional Boussinesq-Full Dispersion systems modelling internal wave propagation
Angel Durán
The paper is concerned with the numerical approximation of some two-dimensional asymptotic models for the propagation of internal waves in a two-layer system in the form of pde's f…
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 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…
Error estimates for semidiscrete Galerkin and collocation approximations to pseudo-parabolic problems with Dirichlet conditions
Eduardo Abreu, Angel Durán
This paper is concerned with the numerical approximation of the Dirichlet initial-boundary-value problem of nonlinear pseudo-parabolic equations with spectral methods. Error estima…
On the use of spectral discretizations with time strong stability preserving properties to Dirichlet pseudo-parabolic problems
Eduardo Abreu, Angel Durán
This paper is concerned with the approximation of linear and nonlinearinitial-boundary-value problems of pseudo-parabolic equations with Dirichlet boundary conditions. They are dis…
On the multi-symplectic structure of Boussinesq-type systems. II: Geometric discretization
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
In this paper we consider the numerical approximation of systems of Boussinesq-type to model surface wave propagation. Some theoretical properties of these systems (multi-symplecti…
Notes on the numerical solution of the Benjamin equation
V. A. Dougalis, A. Duran, D. Mitsotakis
In this paper we consider the Benjamin equation, a partial differential equation that models one-way propagation of long internal waves of small amplitude along the interface of tw…