Hailiang Liu

ORCID

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 70

Top Venues

Publications

Hailiang Liu, Xuping Tian
SGEM: stochastic gradient with energy and momentum. Numer. Algorithms 95 (4) (2024)
Xiaokai Huo, Hailiang Liu
Inf-Sup neural networks for high-dimensional elliptic PDE problems. CoRR (2024)
Yaoyao Chen, Hailiang Liu, Nianyu Yi, Peimeng Yin
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation. CoRR (2024)
Xiaokai Huo, Hailiang Liu
Inf-sup neural networks for high-dimensional elliptic PDE problems. J. Comput. Phys. 514 (2024)
Huangxin Chen, Hailiang Liu, Xianmin Xu
The Onsager principle and physics preserving numerical schemes. CoRR (2024)
José A. Carrillo, Hailiang Liu, Hui Yu
Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations. CoRR (2024)
Hailiang Liu, Wumaier Maimaitiyiming
A dynamic mass transport method for Poisson-Nernst-Planck equations. J. Comput. Phys. 473 (2023)
Chaoyu Huang, Zhi-hao Zhang, Xinjie Wang, Hailiang Liu, Gary Zhang
An MMIC LNA for Millimeter-Wave Radar and 5G Applications with GaN-on-SiC Technology. Sensors 23 (14) (2023)
Joshua Ballew, Gautam Iyer, C. David Levermore, Hailiang Liu, Robert L. Pego
Global Dynamics and Photon Loss in the Kompaneets Equation. SIAM J. Math. Anal. 55 (5) (2023)
Hailiang Liu, Levon Nurbekyan, Xuping Tian, Yunan Yang
Adaptive Preconditioned Gradient Descent with Energy. CoRR (2023)
Tianxiang Gao, Xiaokai Huo, Hailiang Liu, Hongyang Gao
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models. CoRR (2023)
Tianxiang Gao, Xiaokai Huo, Hailiang Liu, Hongyang Gao
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models. NeurIPS (2023)
Hailiang Liu, Ferdinand Thein
On the invariant region for compressible Euler equations with a general equation of state. CoRR (2022)
Hailiang Liu, Xuping Tian
SGEM: stochastic gradient with energy and momentum. CoRR (2022)
Hailiang Liu, Zhongming Wang, Peimeng Yin, Hui Yu
Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations. J. Comput. Phys. 452 (2022)
Manas Bhatnagar, Hailiang Liu
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel. Appl. Math. Lett. 128 (2022)
Tianxiang Gao, Hailiang Liu, Jia Liu, Hridesh Rajan, Hongyang Gao
A global convergence theory for deep ReLU implicit networks via over-parameterization. ICLR (2022)
Hailiang Liu, Peimeng Yin
High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. J. Comput. Appl. Math. 407 (2022)
Ruiyuan Gao, Changming Wang, Songling Han, Hailiang Liu, Xiaoyang Liu, Di Wu
A Research on Cross-Regional Debris Flow Susceptibility Mapping Based on Transfer Learning. Remote. Sens. 14 (19) (2022)
Nianyu Yi, Hailiang Liu
A mass- and energy-conserved DG method for the Schrödinger-Poisson equation. Numer. Algorithms 89 (2) (2022)
Hailiang Liu, Wumaier Maimaitiyiming
A dynamic mass transport method for Poisson-Nernst-Planck equations. CoRR (2022)
Hailiang Liu, Xuping Tian
An Adaptive Gradient Method with Energy and Momentum. CoRR (2022)
Xinlei Yang, Zhihao Zhang, Hailiang Liu, Gary Zhang, Tong Wang, Yang Huang, Qiyu Wang, Liwei Luo
A K-band MMIC low noise amplifier in GaN-on-Si 100-nm technology for MIMO radar receivers. IEICE Electron. Express 19 (23) (2022)
Hailiang Liu, Peimeng Yin
Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. J. Comput. Appl. Math. 390 (2021)
Hailiang Liu, Wumaier Maimaitiyiming
Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson-Nernst-Planck Systems. J. Sci. Comput. 87 (3) (2021)
Hailiang Liu
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations. Numerische Mathematik 147 (4) (2021)
Tianxiang Gao, Hailiang Liu, Jia Liu, Hridesh Rajan, Hongyang Gao
A global convergence theory for deep ReLU implicit networks via over-parameterization. CoRR (2021)
Hailiang Liu, Peimeng Yin
Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows. CoRR (2021)
Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, Shuaikun Wang
An Energy Stable and Positivity-Preserving Scheme for the Maxwell-Stefan Diffusion System. SIAM J. Numer. Anal. 59 (5) (2021)
Hailiang Liu, Zhongming Wang, Peimeng Yin, Hui Yu
Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations. CoRR (2021)
Alberto Bressan, Yi Jiang, Hailiang Liu
Numerical study of non-uniqueness for 2D compressible isentropic Euler equations. J. Comput. Phys. 445 (2021)
Zhu Liang, Changming Wang, Zhijie Duan, Hailiang Liu, Xiaoyang Liu, Kaleem Ullah Jan Khan
A Hybrid Model Consisting of Supervised and Unsupervised Learning for Landslide Susceptibility Mapping. Remote. Sens. 13 (8) (2021)
Hailiang Liu, Wumaier Maimaitiyiming
Efficient, positive, and energy stable schemes for multi-D Poisson-Nernst-Planck systems. CoRR (2020)
Hailiang Liu, Wumaier Maimaitiyiming
Positive and free energy satisfying schemes for diffusion with interaction potentials. J. Comput. Phys. 419 (2020)
Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, Shuaikun Wang
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. CoRR (2020)
Hailiang Liu, Peimeng Yin
On the SAV-DG method for a class of fourth order gradient flows. CoRR (2020)
Jehoon Lee, Hailiang Liu, Jungwon Kang
A Study on an Organic Semiconductor-Based Indirect X-ray Detector with Cd-Free QDs for Sensitivity Improvement. Sensors 20 (22) (2020)
Hailiang Liu, Jehoon Lee, Jungwon Kang
Characteristics of A Hybrid Detector Combined with A Perovskite Active Layer for Indirect X-ray Detection. Sensors 20 (23) (2020)
Hailiang Liu, Xuping Tian
AEGD: Adaptive Gradient Decent with Energy. CoRR (2020)
Hailiang Liu, James Ralston, Peimeng Yin
General superpositions of Gaussian beams and propagation errors. Math. Comput. 89 (322) (2020)
Matthias Kunik, Hailiang Liu, Gerald Warnecke
Radially symmetric solutions of the ultra-relativistic Euler equations. CoRR (2020)
Nianyu Yi, Yunqing Huang, Hailiang Liu
A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations. SIAM J. Sci. Comput. 41 (6) (2019)
Hailiang Liu, Peimeng Yin
A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems. CoRR (2019)
Hailiang Liu, Robin Gröpler, Gerald Warnecke
A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations. SIAM J. Sci. Comput. 41 (3) (2019)
Hailiang Liu, Peimeng Yin
Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation. J. Sci. Comput. 81 (2) (2019)
Hui Yu, Hailiang Liu
Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity. J. Comput. Phys. 391 (2019)
Hailiang Liu, Peimeng Yin
Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. CoRR (2019)
Zhidu Li, Hailiang Liu, Ruyan Wang
Service Benefit Aware Multi-Task Assignment Strategy for Mobile Crowd Sensing. Sensors 19 (21) (2019)
Hailiang Liu, Wumaier Maimaitiyiming
Positive and free energy satisfying schemes for diffusion with interaction potentials. CoRR (2019)
Hailiang Liu, Linrui Qian
Alternating evolution methods for static Hamilton-Jacobi equations. J. Comput. Appl. Math. 351 (2019)
Hailiang Liu, Wumaier Maimaitiyiming
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. CoRR (2019)
Hailiang Liu, Peimeng Yin
Unconditionally energy stable DG schemes for the Swift-Hohenberg equation. CoRR (2019)
Hui Yu, Hailiang Liu
THIRD ORDER MAXIMUM-PRINCIPLE-SATISFYING DG SCHEMES Third Order Maximum-Principle-Satisfying DG schemes for Convection-Diffusion problems with Anisotropic Diffusivity DIFFUSIVITY. CoRR (2019)
Xiaokai Huo, Hailiang Liu
A positivity-preserving energy stable scheme for a quantum diffusion equation. CoRR (2019)
Hailiang Liu, Hairui Wen
Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations. Math. Comput. 87 (309) (2018)
Hailiang Liu, Peimeng Yin
A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems. J. Sci. Comput. 77 (1) (2018)
Yi Jiang, Hailiang Liu
Invariant-region-preserving DG methods for multi-dimensional hyperbolic conservation law systems, with an application to compressible Euler equations. J. Comput. Phys. 373 (2018)
Hailiang Liu, Zhongming Wang
A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems. J. Comput. Phys. 328 (2017)
Kunfeng Lu, Yuanqing Xia, ChunMei Yu, Hailiang Liu
Finite-Time Tracking Control of Rigid Spacecraft Under Actuator Saturations and Faults. IEEE Trans Autom. Sci. Eng. 13 (1) (2016)
Hailiang Liu, Yulong Xing
An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Sci. Comput. 38 (4) (2016)
Hailiang Liu, Nianyu Yi
A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Phys. 321 (2016)
Hailiang Liu, Michael Pollack
Alternating evolution discontinuous Galerkin methods for convection-diffusion equations. J. Comput. Phys. 307 (2016)
C. David Levermore, Hailiang Liu, Robert L. Pego
Global Dynamics of Bose-Einstein Condensation for a Model of the Kompaneets Equation. SIAM J. Math. Anal. 48 (4) (2016)
Hailiang Liu, Zhongming Wang
An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker-Planck Equations. J. Sci. Comput. 68 (3) (2016)
Hailiang Liu, Nattapol Ploymaklam
A local discontinuous Galerkin method for the Burgers-Poisson equation. Numerische Mathematik 129 (2) (2015)
Hailiang Liu, Wenli Cai, Ning Su
Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions. SIAM J. Numer. Anal. 53 (3) (2015)
Hailiang Liu, Hui Yu
The Entropy Satisfying Discontinuous Galerkin Method for Fokker-Planck equations. J. Sci. Comput. 62 (3) (2015)
Hailiang Liu
Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations. Math. Comput. 84 (295) (2015)
Yongki Lee, Hailiang Liu
Threshold for shock formation in the hyperbolic Keller-Segel model. Appl. Math. Lett. 50 (2015)
Wenying Lu, Yunqing Huang, Hailiang Liu
Mass preserving discontinuous Galerkin methods for Schrödinger equations. J. Comput. Phys. 282 (2015)
Hailiang Liu, James Ralston, Olof Runborg, Nicolay M. Tanushev
Gaussian Beam Methods for the Helmholtz Equation. SIAM J. Appl. Math. 74 (3) (2014)
Hailiang Liu, Hui Yu
Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker-Planck Equations. SIAM J. Sci. Comput. 36 (5) (2014)
Hailiang Liu, Hui Yu
Entropy/energy stable schemes for evolutionary dispersal models. J. Comput. Phys. 256 (2014)
Hailiang Liu, Michael Pollack
Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations. J. Comput. Phys. 258 (2014)
Hailiang Liu, Zhongming Wang
A free energy satisfying finite difference method for Poisson-Nernst-Planck equations. J. Comput. Phys. 268 (2014)
Hailiang Liu
The alternating evolution methods for first order nonlinear partial differential equations. Commun. Inf. Syst. 13 (3) (2013)
Hailiang Liu, Michael Pollack, Haseena Saran
Alternating Evolution Schemes for Hamilton-Jacobi Equations. SIAM J. Sci. Comput. 35 (1) (2013)
Nianyu Yi, Yunqing Huang, Hailiang Liu
A direct discontinuous Galerkin method for the generalized Korteweg-de Vries equation: Energy conservation and boundary effect. J. Comput. Phys. 242 (2013)
Hailiang Liu, Olof Runborg, Nicolay M. Tanushev
Error estimates for Gaussian beam superpositions. Math. Comput. 82 (282) (2013)
Yunqing Huang, Hailiang Liu, Nianyu Yi
projection. J. Comput. Phys. 231 (4) (2012)
Pierre Degond, Hailiang Liu, D. Savelief, Marie Hélène Vignal
Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit. J. Sci. Comput. 51 (1) (2012)
Hailiang Liu, Jaemin Shin
The Cauchy-Dirichlet Problem for the Finitely Extensible Nonlinear Elastic Dumbbell Model of Polymeric Fluids. SIAM J. Math. Anal. 44 (5) (2012)
Hailiang Liu, Hui Yu
An Entropy Satisfying Conservative Method for the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model. SIAM J. Numer. Anal. 50 (3) (2012)
Hailiang Liu, Zhongming Wang, Rodney O. Fox
A level set approach for dilute non-collisional fluid-particle flows. J. Comput. Phys. 230 (4) (2011)
Haseena Saran, Hailiang Liu
Alternating Evolution Schemes for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 33 (6) (2011)
Hailiang Liu, James Ralston
Recovery of High Frequency Wave Fields for the Acoustic Wave Equation. Multiscale Model. Simul. 8 (2) (2009)
Hailiang Liu, James Ralston
Recovery of High Frequency Wave Fields from Phase Space-Based Measurements. Multiscale Model. Simul. 8 (2) (2009)
Hailiang Liu, Zhongming Wang
A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations. J. Comput. Phys. 228 (9) (2009)
Pierre Degond, Hailiang Liu
Kinetic models for polymers with inertial effects. Networks Heterog. Media 4 (4) (2009)
Chun Liu, Hailiang Liu
Boundary Conditions for the Microscopic FENE Models. SIAM J. Appl. Math. 68 (5) (2008)
Hailiang Liu, Zhongming Wang
Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics. J. Sci. Comput. 35 (2-3) (2008)
Hailiang Liu, Jue Yan
The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems. SIAM J. Numer. Anal. 47 (1) (2008)
Hailiang Liu, Zhongming Wang
A field-space-based level set method for computing multi-valued solutions to 1D Euler-Poisson equations. J. Comput. Phys. 225 (1) (2007)
Hailiang Liu, Jue Yan
A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect. J. Comput. Phys. 215 (1) (2006)
Hailiang Liu, Li-Tien Cheng, Stanley J. Osher
A Level Set Framework for Capturing Multi-Valued Solutions of Nonlinear First-Order Equations. J. Sci. Comput. 29 (3) (2006)
Hailiang Liu, Marshall Slemrod
KdV dynamics in the plasma-sheath transition. Appl. Math. Lett. 17 (4) (2004)
Gui-Qiang G. Chen, Hailiang Liu
Formation of δ-Shocks and Vacuum States in the Vanishing Pressure Limit of Solutions to the Euler Equations for Isentropic Fluids. SIAM J. Math. Anal. 34 (4) (2003)
Eitan Tadmor, Hailiang Liu
Critical Thresholds in 2D Restricted Euler-Poisson Equations. SIAM J. Appl. Math. 63 (6) (2003)
Hailiang Liu
The l global decay to discrete shocks for scalar monotone schemes. Math. Comput. 72 (241) (2003)
Hailiang Liu, Jinghua Wang, Gerald Warnecke
Convergence rates to discrete shocks for nonconvex conservation laws. Numerische Mathematik 88 (3) (2001)

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Publication Activity (10 Years)

Top Topics

Top Venues

Hailiang Liu