Preprint 1997-026
Numerical Passage from Systems of Conservation Laws to Hamilton-Jacobi
Equations, and a Relaxation Scheme
Shi Jin and Zhouping Xin
Abstract:
In this paper we study the numerical transition from a Hamilton-Jacobi
(H-J) equation to its associated system of conservation laws in
arbitrary space dimensions. We first study how, in a very generic
setting, one can recover the viscosity solution of the H-J equation
using the numerical solution of the system of conservation laws.
We then introduce a simple, second order relaxation scheme to solve
the underlying weakly hyperbolic system of conservation laws.
- Paper:
- Available as PostScript (1.6 Mbytes) or as
gzipped PostScript (328 Kbytes; uncompress
using gunzip).
- Title:
- Numerical Passage from Systems of Conservation Laws to Hamilton-Jacobi
Equations, and a Relaxation Scheme
- Author(s):
- Shi Jin ,
<jin@math.gatech.edu>
- Zhouping Xin,
<xinz@cims.nyu.edu>
- Publishing information:
-
- Comments:
-
- Submitted by:
-
<jin@math.gatech.edu>
October 7 1997.
[
1996 Preprints
|
1997 Preprints
|
All Preprints
|
Preprint Server Homepage
]
© The copyright for the following
documents lies with the authors. Copies of these documents made by electronic
or mechanical means including information storage and retrieval systems, may
only be employed for personal use.
Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Mon Sep 8 11:40:17 1997