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On wavewise entropy inequalities for high-resolution schemes with source terms I: The semi-discrete case

Posted on:2001-10-01Degree:Ph.DType:Dissertation
University:Kansas State UniversityCandidate:Jiang, NanFull Text:PDF
GTID:1460390014458922Subject:Mathematics
Abstract/Summary:
We use the method of wavewise entropy inequalities for the numerical analysis of hyperbolic conservation laws with source terms. This approach is based on a extremum tracking theory introduced by Yang [24] and Vol'pert's theory of BV solutions. The method yields criteria for convergence of the numerical solution towards the entropy solution.
Keywords/Search Tags:Entropy
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