7 citations · 10 across the 4 of their papers we have counts for
4 papers
An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging
Hao Liu, Xue-Cheng Tai, Roland Glowinski
Gaussian curvature is an important geometric property of surfaces, which has been used broadly in mathematical modeling. Due to the full nonlinearity of the Gaussian curvature, eff…
Regularity structure of conservative solutions to the Hunter-Saxton equation
Yu Gao, Hao Liu, Tak Kwong Wong
In this paper we characterize the regularity structure, as well as show the global-in-time existence and uniqueness, of (energy) conservative solutions to the Hunter-Saxton equatio…
On the Numerical Solution of Nonlinear Eigenvalue Problems for the Monge-Ampère Operator
Roland Glowinski, Shingyu Leung, Hao Liu +1
In this article, we report the results we obtained when investigating the numerical solution of some nonlinear eigenvalue problems for the Monge-Ampère operator $v\rightarrow \det…
An Alternating Direction Explicit Method for Time Evolution Equations with Applications to Fractional Differential Equations
Hao Liu, Shingyu Leung
We derive and analyze the alternating direction explicit (ADE) method for time evolution equations with the time-dependent Dirichlet boundary condition and with the zero Neumann bo…