Time--Splitting Schemes and Measure Source Terms for a Quasilinear Relaxing System
arXiv:1001.366618 citations
Originality Synthesis-oriented
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Provides theoretical analysis for numerical methods in a specific domain (chromatography), but is incremental in nature.
The paper investigates singular limits in a quasilinear relaxing system with measure source terms, enabling easier analysis of time-splitting numerical schemes for chromatographic processes.
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.