87 citations · 238 across the 24 of their papers we have counts for
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math.NA2020
Convergence analysis of neural networks for solving a free boundary system
Xinyue Evelyn Zhao, Wenrui Hao, Bei Hu
Free boundary problems deal with systems of partial differential equations, where the domain boundaries are apriori unknown. Due to this special characteristic, it is challenging t…
math.AP2020
Bifurcation analysis of a free boundary model of plaque formation associated with the cholesterol ratio
Wenrui Hao, Chunyue Zheng
The low-density lipoprotein (LDL)/high-density lipoprotein (HDL)-cholesterol ratio has been shown a high correlation with the cardiovascular risk assessment. Is it possible to quan…
math.NA2020
An adaptive homotopy method for computing bifurcations of nonlinear parametric systems
Wenrui Hao, Chunyue Zheng
In this paper, we present an adaptive step-size homotopy tracking method for computing bifurcation points of nonlinear systems. There are four components in this new method: 1) an…