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Oberwolfach Reports, 2009
The workshop Hyperbolic Conservation Laws , organized by Constantine M. Dafermos (Providence), Dietmar Kröner (Freiburg) and Randall J. LeVeque (Seattle) was held December 7th –13th, 2008. We had 44 participants from eight different countries.
Constantine M. Dafermos +2 more
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The workshop Hyperbolic Conservation Laws , organized by Constantine M. Dafermos (Providence), Dietmar Kröner (Freiburg) and Randall J. LeVeque (Seattle) was held December 7th –13th, 2008. We had 44 participants from eight different countries.
Constantine M. Dafermos +2 more
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On Hyperbolic Systems of Conservation Laws
Differential Equations, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Discretization of Unsteady Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis, 2002Summary: A basic target algorithm for approximating unsteady hyperbolic conservation laws uses a finite volume formulation in three steps: recovery or reconstruction of a more accurate approximation from a set of cell averages; solution of the conservation law to obtain interface fluxes averaged over a time step; and computation of new cell averages at
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2021
The theory of hyperbolicconservation laws is a very important field in mathematics. Their formulation is highly inspired by natural processes. We observe in Chap. 3 that the compressible Euler systems ( 1.1), ( 1.2) and ( 1.6)–( 1.8) are particular examples of hyperbolic conservation laws.
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The theory of hyperbolicconservation laws is a very important field in mathematics. Their formulation is highly inspired by natural processes. We observe in Chap. 3 that the compressible Euler systems ( 1.1), ( 1.2) and ( 1.6)–( 1.8) are particular examples of hyperbolic conservation laws.
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On an Essentially Conservative Scheme for Hyperbolic Conservation Laws
Journal of Computational Physics, 1994This paper is concerned with the numerical solution of scalar equations and systems of conservation laws. In the first part of the paper the author proposes an essentially conservative second-order scheme, proving that it satisfies the so called total variation bounded (TVB) property.
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Conservation laws and their hyperbolic regularizations
Journal of Mathematical Sciences, 2010The authors study hyperbolic regularizations of conservation laws. Multi-dimensional linear conservation laws contain conservative and non-equilibrium variables. The Chapman-Enskog conjecture states that non-equilibrium variables can be expressed via the conservative ones, closing the problem. The authors consider this conjecture in the linear case for
Palin, V. V., Radkevich, E. V.
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A composite semi-conservative scheme for hyperbolic conservation laws
Applied Mathematics and Computation, 2010The author uses a non-conservative form of conservation laws to construct a semi-conservative scheme which becomes conservative in the neighborhood of a discontinuity. The proposed scheme captures the shock with high accuracy but yields rarefaction shocks in the presence of a sonic point.
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On conservation laws for hyperbolized equations
Differential Equations, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Surnachev, M. D. +2 more
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