D. E. Mitsotakis

J. Sci. Comput., January, 2025

2023

The complex-step Newton method and its convergence.

[BibT_eX]

[DOI]

CoRR, 2023

On iterative methods based on Sherman-Morrison-Woodbury regular splitting.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis.

[BibT_eX]

[DOI]

Dionyssios Mantzavinos

CoRR, 2022

Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations.

[BibT_eX]

[DOI]

Ameya D. Jagtap

George Em Karniadakis

CoRR, 2022

2021

A Conservative Fully Discrete Numerical Method for the Regularized Shallow Water Wave Equations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2021

Corrigendum: Error Estimates for Galerkin Approximations of the Serre Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2021

On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations.

[BibT_eX]

[DOI]

CoRR, 2021

2020

Boussinesq-Peregrine water wave models and their numerical approximation.

[BibT_eX]

[DOI]

Theodoros Katsaounis

Georges Sadaka

J. Comput. Phys., 2020

A conservative fully-discrete numerical method for the regularised shallow water wave equations.

[BibT_eX]

[DOI]

CoRR, 2020

A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis.

[BibT_eX]

[DOI]

CoRR, 2020

A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.

[BibT_eX]

[DOI]

Hendrik Ranocha

David I. Ketcheson

CoRR, 2020

2019

Error estimates for Galerkin finite element methods for the Camassa-Holm equation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2019

Hamiltonian regularisation of shallow water equations with uneven bottom.

[BibT_eX]

[DOI]

Didier Clamond

CoRR, 2019

2018

Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry.

[BibT_eX]

[DOI]

Qian Li

Comput. Math. Appl., 2018

2017

Error Estimates for Galerkin Approximations of the Serre Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2017

Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics.

[BibT_eX]

[DOI]

Didier Clamond

Commun. Nonlinear Sci. Numer. Simul., 2017

2016

Numerical approximation of solitary waves of the Benjamin equation.

[BibT_eX]

[DOI]

Angel Durán

Math. Comput. Simul., 2016

A new run-up algorithm based on local high-order analytic expansions.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

2015

Numerical solution of conservation laws on moving grids.

[BibT_eX]

[DOI]

CoRR, 2015

2014

On the Galerkin/Finite-Element Method for the Serre Equations.

[BibT_eX]

[DOI]

Boaz Ilan

J. Sci. Comput., 2014

2011

Finite volume schemes for dispersive wave propagation and runup.

[BibT_eX]

[DOI]

Theodoros Katsaounis

J. Comput. Phys., 2011

2010

Boussinesq Systems of Bona-Smith Type on Plane Domains: Theory and Numerical Analysis.

[BibT_eX]

[DOI]

Jean-Claude Saut

J. Sci. Comput., 2010

2009

Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves.

[BibT_eX]

[DOI]

Math. Comput. Simul., 2009

2007

Numerical solution of KdV-KdV systems of Boussinesq equations: I. The numerical scheme and generalized solitary waves.

[BibT_eX]

[DOI]

Jerry L. Bona

Math. Comput. Simul., 2007

A Numerical Study of the Stability of Solitary Waves of the Bona-Smith Family of Boussinesq Systems.

[BibT_eX]

[DOI]

Miguel Ángel López-Marcos

Angel Durán