17 citations · 20 across the 2 of their papers we have counts for
3 papers
System inference via field inversion for the spatio-temporal progression of infectious diseases: Studies of COVID-19 in Michigan and Mexico
Zhenlin Wang, Mariana Carrasco Teja, Xiaoxuan Zhang +2
We present an approach to studying and predicting the spatio-temporal progression of infectious diseases. We treat the problem by adopting a partial differential equation (PDE) ver…
Bayesian neural networks for weak solution of PDEs with uncertainty quantification
Xiaoxuan Zhang, Krishna Garikipati
Solving partial differential equations (PDEs) is the canonical approach for understanding the behavior of physical systems. However, large scale solutions of PDEs using state of th…
System inference for the spatio-temporal evolution of infectious diseases: Michigan in the time of COVID-19
Zhenlin Wang, Xiaoxuan Zhang, Gregory Teichert +2
We extend the classical SIR model of infectious disease spread to account for time dependence in the parameters, which also include diffusivities. The temporal dependence accounts…