91 citations · 94 across the 8 of their papers we have counts for
8 papers
Multivariate Polynomial Regression of Euclidean Degree Extends the Stability for Fast Approximations of Trefethen Functions
Sachin K. Thekke Veettil, Yuxi Zheng, Uwe Hernandez Acosta +2
We address classic multivariate polynomial regression tasks from a novel perspective resting on the notion of general polynomial -degree, with total, Euclidean, and maximum de…
A direct Eulerian GRP scheme for a blood flow model in arteries
Wancheng Sheng, Qinglong Zhang, Yuxi Zheng
In this paper, we propose a direct Eulerian generalized Riemann problem (GRP) scheme for a blood flow model in arteries. It is an extension of the Eulerian GRP scheme, which is dev…
Interaction of the elementary waves for shallow water equations with discontinuous topography
Qinglong Zhang, Wancheng Sheng, Yuxi Zheng
The Riemann problem of one dimensional shallow water equations with discontinuous topography has been constructed recently. The elementary waves include shock waves, rarefaction wa…
Singularity and existence to a wave system of nematic liquid crystals
Geng Chen, Yuxi Zheng
In this paper, we prove the global existence and singularity formation for a wave system from modelling nematic liquid crystals in one space dimension. In our model, although the v…
A Complete Global Solution to the Pressure Gradient Equation
Zhen Lei, Yuxi Zheng
We study the domain of existence of a solution to a Riemann problem for the pressure gradient equation in two space dimensions. The Riemann problem is the expansion of a quadrant o…
On Asymptotic Variational Wave Equations
Alberto Bressan, Ping Zhang, Yuxi Zheng
We investigate the equation where is a given smooth function. Typically or . This equation models unidirectional…