Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Vassilios A. Dougalis"'
On Some Boussinesq/Full Dispersion Systems for Internal Waves: Numerical Solution and Solitary Waves
Publikováno v:
Water Waves. 4:193-237
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f041d5a74b78a45cf33546ddbdc70997
https://doi.org/10.1007/s42286-022-00063-7
https://doi.org/10.1007/s42286-022-00063-7
Publikováno v:
Numerical Methods for Partial Differential Equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16f61507b0ba30a7bd3ee5d5cf094600
https://doi.org/10.1002/num.23021
https://doi.org/10.1002/num.23021
Autor:
Angel Durán, Vassilios A. Dougalis
Publikováno v:
IMA Journal of Numerical Analysis. 42:3022-3057
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-order, Runge–Kutta scheme of composition type based on the impl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::540a0ffe2eeee8f22046725575dc2e98
https://doi.org/10.1093/imanum/drab060
https://doi.org/10.1093/imanum/drab060
Publikováno v:
IMA Journal of Numerical Analysis. 40:2415-2449
We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension. We discretize the problem in space by the standard Galerkin finite element method on a quasiuniform mesh and in time by the classical 4-stage,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feb473efab8270cc4b0a9c26847a6bda
https://doi.org/10.1093/imanum/drz033
https://doi.org/10.1093/imanum/drz033
Publikováno v:
Numerische Mathematik. 142:833-862
We consider the Camassa–Holm (CH) equation, a nonlinear dispersive wave equation that models one-way propagation of long waves of moderately small amplitude. We discretize in space the periodic initial-value problem for CH (written in its original
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e33939cfca814ed4d6653bd97c44bc7c
https://doi.org/10.1007/s00211-019-01045-7
https://doi.org/10.1007/s00211-019-01045-7
© 2018 Elsevier B.V. This paper is concerned with the study, by computational means, of the generation and stability of solitary-wave solutions of generalized versions of the Benjamin equation. The numerical generation of the solitary-wave profiles
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0de68c032a5cca22b89cb87ffe3845bd
https://doi.org/10.26686/wgtn.12501905
https://doi.org/10.26686/wgtn.12501905
Publikováno v:
Physica D: Nonlinear Phenomena. 428:133051
In this paper we consider a three-parameter system of Boussinesq/Boussinesq type, modeling the propagation of internal waves. Some theoretical and numerical properties of the systems were previously analyzed by the authors. As a second part of the st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a107e79c460a1584d71a1af269f65cc5
https://doi.org/10.1016/j.physd.2021.133051
https://doi.org/10.1016/j.physd.2021.133051
Publikováno v:
Wave Motion. 102:102715
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 derived from the 1-d Serre–Green–Naghdi (SGN) system; one of them is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c538a8a4e3573d16e68cfe5eecf1cf91
https://doi.org/10.1016/j.wavemoti.2021.102715
https://doi.org/10.1016/j.wavemoti.2021.102715
Publikováno v:
Mathematics and Computers in Simulation. 127:56-79
This paper presents several numerical techniques to generate solitary-wave profiles of the Benjamin equation. The formulation and implementation of the methods focus on some specific points of the problem: on the one hand, the approximation of the no
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ea78c639e16d03330e9a03c02e3c102
https://doi.org/10.1016/j.matcom.2012.07.008
https://doi.org/10.1016/j.matcom.2012.07.008
Autor:
Vassilios A. Dougalis, Michael N. Vrahatis, Georgios Akrivis, D. Noutsos, Ilias S. Kotsireas, Efstratios Gallopoulos, Y. G. Saridakis, Apostolos Hadjidimos
Publikováno v:
Applied Numerical Mathematics. 104:99-102
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b28b15d48026efad18d2d874d7460527
https://doi.org/10.1016/j.apnum.2016.02.005
https://doi.org/10.1016/j.apnum.2016.02.005