Hailiang Liu

Hailiang  Liu

Iowa State University

H-index: 32

North America-United States

About Hailiang Liu

Hailiang Liu, With an exceptional h-index of 32 and a recent h-index of 21 (since 2020), a distinguished researcher at Iowa State University, specializes in the field of Applied mathematics, Computational mathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations

Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models

Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation

Inf-Sup neural networks for high-dimensional elliptic PDE problems

SGEM: stochastic gradient with energy and momentum

A complete characterization of sharp thresholds to spherically symmetric multidimensional pressureless Euler-Poisson systems

Critical thresholds in the Euler-Poisson-alignment system

A dynamic mass transport method for Poisson-Nernst-Planck equations

Hailiang Liu Information

University

Position

___

Citations(all)

3883

Citations(since 2020)

1625

Cited By

3238

hIndex(all)

32

hIndex(since 2020)

21

i10Index(all)

85

i10Index(since 2020)

46

Email

University Profile Page

Iowa State University

Google Scholar

View Google Scholar Profile

Hailiang Liu Skills & Research Interests

Applied mathematics

Computational mathematics

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

See List of Professors in Hailiang Liu University(Iowa State University)

Co-Authors

H-index: 75
Eitan Tadmor

Eitan Tadmor

University of Maryland, Baltimore

H-index: 68
Rodney O. Fox

Rodney O. Fox

Iowa State University

H-index: 56
Chun Liu

Chun Liu

Illinois Institute of Technology

H-index: 54
Gui-Qiang G. Chen

Gui-Qiang G. Chen

University of Oxford

H-index: 37
Pingwen Zhang

Pingwen Zhang

Peking University

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