An optimal error estimate for upwind Finite Volume methods for nonlinear hyperbolic conservation laws
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Computational Mathematics,Numerical Analysis
Reference41 articles.
1. Finite volume methods: foundation and analysis;Barth,2004
2. Error estimate and the geometric corrector for the upwind finite volume method applied to the linear advection equation;Bouche;SIAM J. Numer. Anal.,2005
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4. Error estimate for the upwind finite volume method for the nonlinear scalar conservation law;Bouche;J. Comput. Appl. Math.,2011
5. Theoretical analysis of the upwind finite volume scheme on the counter-example of Peterson;Bouche;ESAIM: Math. Model. Numer. Anal.,2010
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1. The Case of Multidimensional Systems;Applied Mathematical Sciences;2020-12-14
2. Numerical Approximation of the Frobenius--Perron Operator using the Finite Volume Method;SIAM Journal on Numerical Analysis;2018-01
3. Error Estimate for Time-Explicit Finite Volume Approximation of Strong Solutions to Systems of Conservation Laws;SIAM Journal on Numerical Analysis;2016-01
4. Error estimate for the upwind finite volume method for the nonlinear scalar conservation law;Journal of Computational and Applied Mathematics;2011-07
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