A Theory of Implicit Methods for Scalar Conservation Laws

Michael Breuß
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Michael Breuß: University of Hamburg

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 377-386 from Springer

Abstract: Abstract We present a theory of implicit methods for 1-D scalar conservation laws. The theory is centered around an implicit monotonicity criterion. We give rigorous theoretical results concerning the range of applicability of implicit schemes. After a brief introduction, we describe the components of the implicit theory.

Keywords: Conservation Laws; Implicit Scheme; Entropy Solution; Implicit Theory; Implicit Method (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_34

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DOI: 10.1007/978-3-642-55711-8_34

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