| 2 | AN ADAPTIVE VERSION OF GLIMM'S SCHEME显示文摘This article describes a local error estimator for Glimm's scheme for hyperbolic systems of conservation laws and uses it to replace the usual random choice in Glimm's scheme by an optimal choice.As a by-product of the local error estimator,the procedure provides a global error estimator that is shown numerically to be a very accurate estimate of the error in L1(R)for all times.Although there is partial mathematical evidence for the error estimator proposed,at this stage the error estimator must be considered ad-hoc.Nonetheless,the error estimator is simple to compute,relatively inexpensive,without adjustable parameters and at least as accurate as other existing error estimators.Numerical experiments in 1-D for Burgers'equation and for Euler's system are performed to measure the asymptotic accuracy of the resulting scheme and of the error estimator. | H.Kim M.Laforest D.Yoon | 2010 | Acta Mathematica Scientia2010，30，2： | 0 |
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