10 citations · 19 across the 10 of their papers we have counts for
4 papers · 1 filter
Amortized Generative Modeling of Invariant Measures across A Family of Kuramoto-Sivashinsky PDEs
Arnab Roy, Tobin A. Driscoll
The long-run statistics of chaotic dissipative partial differential equations are described by invariant measures, and when the equation carries a parameter these measures form a f…
Parameter estimation for evaporation-driven tear film model in two space dimensions
Qinying Chen, Tobin Driscoll
The tear film (TF) plays a critical role in maintaining ocular surface health, and its disruption through tear breakup (TBU) is closely associated with dry eye disease. Evaporation…
Stable evaluation of derivatives for barycentric and continued fraction representations of rational functions
Tobin A. Driscoll, Yuxing Zhou
Fast algorithms for approximation by rational functions exist for both barycentric and Thiele continued fraction (TCF) representations. We present the first numerically stable meth…
Operator learning for models of tear film breakup
Qinying Chen, Arnab Roy, Tobin A. Driscoll
Tear film (TF) breakup is a key driver of understanding dry eye disease, yet estimating TF thickness and osmolarity from fluorescence (FL) imaging typically requires solving comput…