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An upwind method for genuine weakly hyperbolic systems

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arxiv 1703.08751 v1 pith:V766HART submitted 2017-03-26 math.NA cs.NA

classification math.NAcs.NA
keywords canonicalformsgenuinehyperbolicjordanschemesystemsupwind
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In this article, we attempted to develop an upwind scheme based on Flux Difference Splitting using Jordan canonical forms to simulate genuine weakly hyperbolic systems. Theory of Jordan Canonical Forms is being used to complete defective set of linear independent eigenvectors. Proposed FDS-J scheme is capable of recognizing various shocks accurately.

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