Time--Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

10.1142/S0218202503002829

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.

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