Abstract
The Glimm scheme for solving hyperbolic conservation laws has a stochastic feature; it depends on a random sequence. The purpose of this paper is to show that the scheme converges for any equidistributed sequence. Thus the scheme becomes deterministic.
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Communicated by J. Glimm
Results obtained at the Courant Institute of Mathematical Sciences, New York University while the author was a Visiting Member at the Institute; this work was supported by the National Science Foundation, Grant NSF-MCS 76-07039
On leave from the University of Maryland, College Park
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Liu, TP. The deterministic version of the Glimm scheme. Commun.Math. Phys. 57, 135–148 (1977). https://doi.org/10.1007/BF01625772
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DOI: https://doi.org/10.1007/BF01625772