Qin Li

TL;DR: A new human mobility flow-augmented stochastic SEIR-style epidemic modeling framework with the ability to distinguish different regions and their corresponding behavior is developed, revealing that in a college town (Dane County) the most important heterogeneity is spatial, while in a large city area (Milwaukee County) racial-ethnic heterogeneity becomes more apparent.

TL;DR: Asymptotic-preserving (AP) schemes are numerical methods that are efficient in these asymptotics as mentioned in this paper, which are designed to capture the limit at the discrete level without resolving small scales.

TL;DR: In this article, the effect of randomness on the convergence of numerical methods was studied in a general setting, with the regularity result not depending on the specific form of the collision term, the probability distribution of the random variables, or the regime the system is in and thereby is termed "uniform".

TL;DR: It is shown how to derive asymptotic-preserving (AP) schemes of arbitrary order by using the Shu-Osher representation of Runge-Kutta methods, and the monotonicity properties of such schemes, like strong stability preserving (SSP) and positivity preserving are explored.

TL;DR: The continuous version of EKI, a coupled SDE system, is analyzed and it is shown that as the number of particles goes to infinity, the empirical measure of particles following SDE converges to the solution to a Fokker–Planck equation in Wasserstein 2-distance with an optimal rate, for both linear and weakly nonlinear case.