Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Antonopoulos, D. C."'
We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. We prove that the semidiscrete problem is well posed, locally in time,
Externí odkaz:
http://arxiv.org/abs/2107.04403
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 valid f
Externí odkaz:
http://arxiv.org/abs/2006.03409
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:
http://arxiv.org/abs/1810.11008
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 an
Externí odkaz:
http://arxiv.org/abs/1805.10744
Autor:
Antonopoulos, D. C., Dougalis, V. A.
We consider the Shallow Water equations in the supercritical and subcritical cases in one space variable,posed in a finite spatial interval with characteristic boundary conditions at the endpoints, which, as is well known, are transparent,i.e. allow
Externí odkaz:
http://arxiv.org/abs/1507.08209
Autor:
Antonopoulos, D. C., Dougalis, V. A.
We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension, and also the analogous problem for a symmetric variant of the system. Assuming smoothness of solutions, we discretize these problems in space
Externí odkaz:
http://arxiv.org/abs/1403.5699
Autor:
Antonopoulos, D. C., Dougalis, V. A.
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 cha
Externí odkaz:
http://arxiv.org/abs/1008.4248
Publikováno v:
SIAM Journal on Numerical Analysis, 2017 Jan 01. 55(2), 841-868.
Externí odkaz:
http://www.jstor.org/stable/26166463
Autor:
Antonopoulos, D. C., Dougalis, V. A.
Publikováno v:
Mathematics of Computation, 2016 May 01. 85(299), 1143-1182.
Externí odkaz:
https://www.jstor.org/stable/mathcomp.85.299.1143
Autor:
ANTONOPOULOS, D. C., DOUGALIS, V. A.
Publikováno v:
Mathematics of Computation, 2013 Apr 01. 82(282), 689-717.
Externí odkaz:
https://www.jstor.org/stable/42002672