Titlebook: Oscillation Theory, Computation, and Methods of Compensated Compactness; Constantine Dafermos,J. L. Ericksen,Marshall Slemr Conference pro

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0940-6573 Overview: 978-1-4613-8691-9978-1-4613-8689-6Series ISSN 0940-6573 Series E-ISSN 2198-3224

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Oscillations in Solutions to Nonlinear Differential Equations,oblem is to describe the relationship between microscopic oscillations and their macroscopic averages, in terms of both the static structure and the dynamic behavior. One general framework is provided by the following setting.

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Very High Order Accurate TVD Schemes,width, conservation form approximations to scalar conservation laws is presented. Here . is an integer between 2 and 8. Simple first order forward time discretization, used together with any of these approximations to the space derivatives, also results in a fully discrete, variation diminishing alg