On the Convergence and Well-Balanced Property of Path-Conservative Numerical Schemes for Systems of Balance Laws (original) (raw)

Journal of Scientific Computing, 2011

Abstract

This paper deals with the numerical approximation of one-dimensional hyperbolic systems of balance laws. We consider these systems as a particular case of hyperbolic systems in nonconservative form, for which we use the theory introduced by Dal Maso, LeFloch and Murat (J. Math. Pures Appl. 74:483, 1995) in order to define the concept of weak solutions. This theory is based

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