High-Order Central WENO Schemes for Multi-Dimensional Hamilton-Jacobi Equations - Couverture souple

Bryson, Steve; Levy, Doron

 
9781289290528: High-Order Central WENO Schemes for Multi-Dimensional Hamilton-Jacobi Equations
Couverture souple
ISBN 10 : 1289290520 ISBN 13 : 9781289290528
Editeur : Bibliogov, 2013

Synopsis

We present new third- and fifth-order Godunov-type central schemes for approximating solutions of the Hamilton-Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes for approximating solutions of the HJ equations with an order of accuracy that is greater than two. In two space dimensions we present two versions for the third-order scheme: one scheme that is based on a genuinely two-dimensional Central WENO reconstruction, and another scheme that is based on a simpler dimension-by-dimension reconstruction. The simpler dimension-by-dimension variant is then extended to a multi-dimensional fifth-order scheme. Our numerical examples in one, two and three space dimensions verify the expected order of accuracy of the schemes.

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Éditeur
Bibliogov
Date d'édition
2013
Langue
anglais
ISBN 10 
1289290520
ISBN 13 
9781289290528
Reliure
Broché
Nombre de pages
42
Coordonnées du fabricant
non disponible
Personne responsable
non disponible