Preprint 1996032
Error bounds for a Deterministic Version of the Glimm Scheme
A. Bressan and A. Marson
Abstract:
Consider the hyperbolic system of conservation laws $u_t
F(u)_x=0. Let $u$ be the unique viscosity solution with
initial condition $u(0,x)=\bar u(x)$ and let $u^\varepsilon$
be an approximate solution constructed by the Glimm scheme,
corresponding to the mesh sizes $\Delta x,\Delta t=O(\Delta x).
With a suitable choise of the sampling sequence, we
prove the estimate
$$
\left\Vert u^\varepsilon(t,\cdot)u(t,\cdot)
\right\Vert_1=o(1)\cdot\sqrt{\Delta x}\vert\ln\Delta x\vert.
$$
 Paper:
 Available as PostScript
 Title:
 Error bounds for a Deterministic Version of the Glimm Scheme
 Author(s):
 A. Bressan,
<bressan@sissa.it>
 A. Marson,
<marson@bsing.ing.unibs.it>
 Submitted by:

<marson@bsing.ing.unibs.it>
September 6 1996.
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Last modified: Fri Sep 6 16:26:23 1996