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05/18/2023
On iterative methods based on Sherman-Morrison-Woodbury regular splitting
We consider a regular splitting based on the Sherman-Morrison-Woodbury f...
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10/07/2022
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
Considered here is a class of Boussinesq systems of Nwogu type. Such sys...
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02/07/2022
Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations
We consider strongly-nonlinear and weakly-dispersive surface water waves...
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09/21/2020
A conservative fully-discrete numerical method for the regularised shallow water wave equations
The paper proposes a new, conservative fully-discrete scheme for the num...
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08/25/2020
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
The simulation of long, nonlinear dispersive waves in bounded domains us...
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06/26/2020
A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
We develop general tools to construct fully-discrete, conservative numer...
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05/19/2020
Boussinesq-Peregrine water wave models and their numerical approximation
In this paper we consider the numerical solution of Boussinesq-Peregrine...
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09/17/2019