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BV Solutions of Semidiscrete Upwind Scheme

Stefano Bianchini ()
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Stefano Bianchini: Istituto per le Applicazioni del Calcolo “M. Picone” - CNR

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 135-142 from Springer

Abstract: Abstract Consider the strictly hyperbolic system of conservation laws (1) $$ {{u}_{t}} + f{{(u)}_{x}} = 0, $$ where u ∈ ℝN, f: ℝN ↦ ℝN smooth. The system is said to be strictly hyperbolic provided that the Jacobian matrix A(u) ≐ Df(u) has N distinct eigenvalues, α1(u)

Keywords: Viscosity Solution; Hyperbolic System; Riemann Problem; Center Manifold; Riemann Solver (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-3-642-55711-8_11

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