277 citations · 355 across the 7 of their papers we have counts for
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math.NA2021
An explicit and non-iterative moving-least-squares immersed-boundary method with low boundary velocity error
Wenyuan Chen, Shufan Zou, Qingdong Cai +1
In this work, based on the moving-least-squares immersed boundary method, we proposed a new technique to improve the calculation of the volume force representing the body boundary.…
math.NA2019★ 7 cited
Solving Differential Equation with Constrained Multilayer Feedforward Network
Zeyu Liu, Yantao Yang, Qing-Dong Cai
In this paper, we present a novel framework to solve differential equations based on multilayer feedforward network. Previous works indicate that solvers based on neural network ha…
math.NA2014★ 277 cited
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
Chang Liu, Kun Xu, Quanhua Sun +1
Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynam…