Hailiang Liu
Iowa State University
H-index: 32
North America-United States
Top articles of Hailiang Liu
Title | Journal | Author(s) | Publication Date |
---|---|---|---|
Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations | arXiv preprint arXiv:2403.15643 | José A Carrillo Hailiang Liu Hui Yu | 2024/3/22 |
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models | Advances in Neural Information Processing Systems | Tianxiang Gao Xiaokai Huo Hailiang Liu Hongyang Gao | 2024/2/13 |
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation | arXiv preprint arXiv:2402.02712 | Yaoyao Chen Hailiang Liu Nianyu Yi Peimeng Yin | 2024/2/5 |
Inf-Sup neural networks for high-dimensional elliptic PDE problems | arXiv preprint arXiv:2401.17233 | Xiaokai Huo Hailiang Liu | 2024/1/30 |
SGEM: stochastic gradient with energy and momentum | Numerical Algorithms | Hailiang Liu Xuping Tian | 2024/4 |
A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems | arXiv preprint arXiv:2302.04428 | Manas Bhatnagar Hailiang Liu | 2023/2/9 |
Critical thresholds in the Euler-Poisson-alignment system | Journal of Differential Equations | Manas Bhatnagar Hailiang Liu Changhui Tan | 2023/12/5 |
A dynamic mass transport method for Poisson-Nernst-Planck equations | Journal of Computational Physics | Hailiang Liu Wumaier Maimaitiyiming | 2023/1/15 |
Global Dynamics and Photon Loss in the Kompaneets Equation | SIAM Journal on Mathematical Analysis | Joshua Ballew Gautam Iyer C David Levermore Hailiang Liu Robert L Pego | 2023/10/31 |
Adaptive Preconditioned Gradient Descent with Energy | arXiv preprint arXiv:2310.06733 | Hailiang Liu Levon Nurbekyan Xuping Tian Yunan Yang | 2023/10/10 |
On the SAV‐DG method for a class of fourth order gradient flows | Numerical Methods for Partial Differential Equations | Hailiang Liu Peimeng Yin | 2023/3 |
On critical thresholds for hyperbolic balance law systems | arXiv preprint arXiv:2302.12869 | Manas Bhatnagar Hailiang Liu | 2023/2/24 |
Anderson acceleration of gradient methods with energy for optimization problems | Communications on Applied Mathematics and Computation | Hailiang Liu Jia-Hao He Xuping Tian | 2023/12/28 |
Dynamic behavior for a gradient algorithm with energy and momentum | arXiv preprint arXiv:2203.12199 | Hailiang Liu Xuping Tian | 2022/3/23 |
Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations | Journal of Computational Physics | Hailiang Liu Zhongming Wang Peimeng Yin Hui Yu | 2022/3/1 |
On the invariant region for compressible Euler equations with a general equation of state | arXiv preprint arXiv:2211.01973 | Hailiang Liu Ferdinand Thein | 2022/11/3 |
A mass-and energy-conserved DG method for the Schrödinger-Poisson equation | Numerical Algorithms | Nianyu Yi Hailiang Liu | 2022/2/1 |
High order unconditionally energy stable RKDG schemes for the Swift–Hohenberg equation | Journal of Computational and Applied Mathematics | Hailiang Liu Peimeng Yin | 2022/6/1 |
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel | Applied Mathematics Letters | Manas Bhatnagar Hailiang Liu | 2022/6/1 |
An adaptive gradient method with energy and momentum | arXiv preprint arXiv:2203.12191 | Hailiang Liu Xuping Tian | 2022/3/23 |