# TIME-SPLITTING SCHEMES AND MEASURE SOURCE TERMS FOR A QUASILINEAR RELAXING SYSTEM

1 IAC - Istituto per le Applicazioni del Calcolo -Mauro Picone-

Abstract : Several singular limits are investigated in the context of a $2 \times 2$ system arising for instance in the modeling of chromatographic processes. In particular, we focus on the case where the relaxation term and a $L^2$ projection operator are concentrated on a discrete lattice by means of Dirac measures. This formulation allows to study more easily some time-splitting numerical schemes.

Keywords : Chromatography relaxation schemes nonconservative products conservation laws

Author: Laurent Gosse -

Source: https://hal.archives-ouvertes.fr/