Zobrazeno 1 - 10
of 13
pro vyhledávání: '"D. C. Antonopoulos"'
In this paper we derive stability estimates in $L^{2}$- and $L^{\infty}$- based Sobolev spaces for the $L^{2}$ projection and a family of quasiinterolants in the space of smooth, 1-periodic, polynomial splines defined on a uniform mesh in $[0,1]$. As
Externí odkaz:
http://arxiv.org/abs/2106.09060
Publikováno v:
SIAM Journal on Numerical Analysis. 59:3098-3101
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ed95d96c1f192330511c432521f4337
https://doi.org/10.1137/21m1433769
https://doi.org/10.1137/21m1433769
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
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:
IMA Journal of Numerical Analysis. 37:266-295
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd3e764bb25d161555228dc1e0c73c02
https://doi.org/10.1093/imanum/drw017
https://doi.org/10.1093/imanum/drw017
Publikováno v:
Mathematics of Computation. 85:1143-1182
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b4ca8d310d82918a85a31595c6b9356
https://doi.org/10.1090/mcom3040
https://doi.org/10.1090/mcom3040
We consider the Serre system of equations which is a nonlinear dispersive system that models two-way propagation of long waves of not necessarily small amplitude on the surface of an ideal fluid in a channel. We discretize in space the periodic initi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::526e4aade84942d5e505e0c1c7ac674b
Publikováno v:
Mathematics of Computation. 82:689-717
We consider the ‘classical’ Boussinesq system in one space dimension and its symmetric analog. These systems model two-way propagation of nonlinear, dispersive long waves of small amplitude on the surface of an ideal fluid in a uniform horizontal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::772a3130367cb6794c1adc6828630854
https://doi.org/10.1090/s0025-5718-2012-02663-9
https://doi.org/10.1090/s0025-5718-2012-02663-9
Publikováno v:
Mathematics and Computers in Simulation. 82:984-1007
We consider the 'classical' Boussinesq system of water wave theory, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a horizontal channel. (We also consider its
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0bf8d90fd3b59c24729e0874f9526a8b
https://doi.org/10.1016/j.matcom.2011.09.006
https://doi.org/10.1016/j.matcom.2011.09.006