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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
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References:

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