Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Besse, Christophe; Ehrhardt, Matthias; Lacroix-Violet, Ingrid

Document type :

Article dans une revue scientifique: Article original

DOI :

10.1002/num.22058

Title :

Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation

Author(s) :

Besse, Christophe [Auteur]
Institut de Mathématiques de Toulouse UMR5219 [IMT]
Ehrhardt, Matthias [Auteur]
Bergische Universität Wuppertal
Lacroix-Violet, Ingrid [Auteur]
Université de Lille, Sciences et Technologies
Reliable numerical approximations of dissipative systems [RAPSODI]

Journal title :

Numerical Methods for Partial Differential Equations

Pages :

1455-1484

Publisher :

Wiley

Publication date :

2016

ISSN :

0749-159X

English keyword(s) :

KdV equation
Numerical simulation
artificial boundary conditions

HAL domain(s) :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artificial boundary conditions for these two full ...
Show more >In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artificial boundary conditions for these two full discretization using Z-transformation. We give some numerical benchmark examples from the literature to illustrate our findings.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

/
Frontières, numérique, dispersion.
Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :