Preprint 1997026
Numerical Passage from Systems of Conservation Laws to HamiltonJacobi
Equations, and a Relaxation Scheme
Shi Jin and Zhouping Xin
Abstract:
In this paper we study the numerical transition from a HamiltonJacobi
(HJ) 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 HJ 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:
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 Title:
 Numerical Passage from Systems of Conservation Laws to HamiltonJacobi
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.
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