## 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}

}

### OpenURL

### 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.