Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms (1999)
| Venue: | Math. Comput |
| Citations: | 6 - 0 self |
BibTeX
@ARTICLE{Chalabi99convergenceof,
author = {A. Chalabi},
title = {Convergence of relaxation schemes for hyperbolic conservation laws with stiff source terms},
journal = {Math. Comput},
year = {1999},
volume = {68},
pages = {68--955}
}
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Abstract
Abstract. We focus in this study on the convergence of a class of relaxation numerical schemes for hyperbolic scalar conservation laws including stiff source terms. Following Jin and Xin, we use as approximation of the scalar conservation law, a semi-linear hyperbolic system with a second stiff source term. This allows us to avoid the use of a Riemann solver in the construction of the numerical schemes. The convergence of the approximate solution toward a weak solution is established in the cases of first and second order accurate MUSCL relaxed methods. 1.
