Preprint 2000-028
On the Convergence Rate of Operator Splitting for Weakly Coupled Systems
of Hamilton-Jacobi Equations
Espen R. Jakobsen, Kenneth Hvistendahl Karlsen, and Nils Henrik
Risebro
Abstract:
Assuming existence and uniqueness of bounded Lipschitz continuous
viscosity solutions to the initial value problem for weakly coupled
systems of Hamilton-Jacobi equations, we establish a linear L$\infty$
convergence rate for a semi-discrete operator splitting. This paper
complements our previous work [2] on the convergence
rate of operator splitting for scalar Hamilton-Jacobi equations with
source term.
- Paper:
- Available as PostScript.
- Author(s):
- Espen R. Jakobsen,
<erj@math.ntnu.no>
- Kenneth Hvistendahl Karlsen,
<kennethk@mi.uib.no>
- Nils Henrik Risebro,
<nilshr@math.uio.no>
- Publishing information:
- Submitted to Proc. Hyp 2000
- Comments:
-
- Submitted by:
-
<erj@math.ntnu.no>
June 14 2000.
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Last modified: Mon Jun 19 13:19:35 MET DST 2000