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

Laurent Gosse (1)

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

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.

Mots clés: Chromatography; relaxation schemes; nonconservative products; conservation laws

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]; Chimie analytique

Laurent Gosse. TIME--SPLITTING SCHEMES AND MEASURE SOURCE TERMS FOR A QUASILINEAR RELAXING SYSTEM. Mathematical Models and Methods in Applied Sciences, 2003, 13 (8), pp.1081-1101. ⟨10.1142/S0218202503002829⟩. ⟨hal-00449079⟩