## Error bounds for Glimm difference approximations for scalar conservation laws.(English)Zbl 0579.65096

This paper treats the Glimm difference approximation to the solution of a genuinely nonlinear scalar conservation law $$v_ t+f(v)_ x==0$$, $$(x,t)\in R\times R_+$$, with initial data $$v(x,0)=v_ o(x)$$ with bounded variation. Error bounds for this problem are derived in the general case and for the generic case of piecewise constant initial data.
Reviewer: V.Drápalík

### MSC:

 65M15 Error bounds for initial value and initial-boundary value problems involving PDEs 35L65 Hyperbolic conservation laws

### Keywords:

Glimm; nonlinear; piecewise constant initial data
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### References:

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