2 papers
math.PR2024
A SIR epidemic model on a refining spatial grid II-Central limit theorem
Thierry Gallouët, Etienne Pardoux, Ténan Yeo
A stochastic SIR epidemic model taking into account the heterogeneity of the spatial environment is constructed. The deterministic model is given by a partial differential equation…
math.NA2024
Optimal error bounds for the two point flux approximation finite volume scheme
Robert Eymard, Thierry Gallouët, Raphaele Herbin
We consider a finite volume scheme with two-point flux approximation (TPFA) to approximate a Laplace problem when the solution exhibits no more regularity than belonging to $H^1_0(…