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Hailiang Liu
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2020 – today
- 2025
- [j81]Ruiyuan Gao, Changming Wang, Di Wu, Hailiang Liu, Xiaoyang Liu:
Comprehensive application of transfer learning, unsupervised learning and supervised learning in debris flow susceptibility mapping. Appl. Soft Comput. 170: 112612 (2025) - 2024
- [j80]Ruiyuan Gao, Di Wu, Hailiang Liu, Xiaoyang Liu:
A debris flow susceptibility mapping study considering sample heterogeneity. Earth Sci. Informatics 17(6): 5459-5470 (2024) - [j79]Xiaokai Huo, Hailiang Liu:
Inf-sup neural networks for high-dimensional elliptic PDE problems. J. Comput. Phys. 514: 113188 (2024) - [j78]Hailiang Liu, Xuping Tian:
SGEM: stochastic gradient with energy and momentum. Numer. Algorithms 95(4): 1583-1610 (2024) - [i25]Xiaokai Huo, Hailiang Liu:
Inf-Sup neural networks for high-dimensional elliptic PDE problems. CoRR abs/2401.17233 (2024) - [i24]Yaoyao Chen, Hailiang Liu, Nianyu Yi, Peimeng Yin:
Unconditionally energy stable IEQ-FEMs for the Cahn-Hilliard equation and Allen-Cahn equation. CoRR abs/2402.02712 (2024) - [i23]José A. Carrillo, Hailiang Liu, Hui Yu:
Positivity-preserving and energy-dissipating discontinuous Galerkin methods for nonlinear nonlocal Fokker-Planck equations. CoRR abs/2403.15643 (2024) - [i22]Huangxin Chen, Hailiang Liu, Xianmin Xu:
The Onsager principle and physics preserving numerical schemes. CoRR abs/2406.12652 (2024) - 2023
- [j77]Hailiang Liu, Wumaier Maimaitiyiming:
A dynamic mass transport method for Poisson-Nernst-Planck equations. J. Comput. Phys. 473: 111699 (2023) - [j76]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): 6611 (2023) - [j75]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): 5715-5750 (2023) - [c2]Tianxiang Gao, Xiaokai Huo, Hailiang Liu, Hongyang Gao:
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models. NeurIPS 2023 - [i21]Hailiang Liu, Levon Nurbekyan, Xuping Tian, Yunan Yang:
Adaptive Preconditioned Gradient Descent with Energy. CoRR abs/2310.06733 (2023) - [i20]Tianxiang Gao, Xiaokai Huo, Hailiang Liu, Hongyang Gao:
Wide Neural Networks as Gaussian Processes: Lessons from Deep Equilibrium Models. CoRR abs/2310.10767 (2023) - 2022
- [j74]Manas Bhatnagar, Hailiang Liu:
Global dynamics of the one-dimensional Euler-alignment system with weakly singular kernel. Appl. Math. Lett. 128: 107856 (2022) - [j73]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): 20220454 (2022) - [j72]Hailiang Liu, Peimeng Yin:
High order unconditionally energy stable RKDG schemes for the Swift-Hohenberg equation. J. Comput. Appl. Math. 407: 114015 (2022) - [j71]Hailiang Liu, Zhongming Wang, Peimeng Yin, Hui Yu:
Positivity-preserving third order DG schemes for Poisson-Nernst-Planck equations. J. Comput. Phys. 452: 110777 (2022) - [j70]Nianyu Yi, Hailiang Liu:
A mass- and energy-conserved DG method for the Schrödinger-Poisson equation. Numer. Algorithms 89(2): 905-930 (2022) - [j69]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): 4829 (2022) - [c1]Tianxiang Gao, Hailiang Liu, Jia Liu, Hridesh Rajan, Hongyang Gao:
A global convergence theory for deep ReLU implicit networks via over-parameterization. ICLR 2022 - [i19]Hailiang Liu, Xuping Tian:
An Adaptive Gradient Method with Energy and Momentum. CoRR abs/2203.12191 (2022) - [i18]Hailiang Liu, Wumaier Maimaitiyiming:
A dynamic mass transport method for Poisson-Nernst-Planck equations. CoRR abs/2205.01589 (2022) - [i17]Hailiang Liu, Xuping Tian:
SGEM: stochastic gradient with energy and momentum. CoRR abs/2208.02208 (2022) - [i16]Hailiang Liu, Ferdinand Thein:
On the invariant region for compressible Euler equations with a general equation of state. CoRR abs/2211.01973 (2022) - 2021
- [j68]Hailiang Liu, Peimeng Yin:
Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. J. Comput. Appl. Math. 390: 113375 (2021) - [j67]Alberto Bressan, Yi Jiang, Hailiang Liu:
Numerical study of non-uniqueness for 2D compressible isentropic Euler equations. J. Comput. Phys. 445: 110588 (2021) - [j66]Hailiang Liu, Wumaier Maimaitiyiming:
Efficient, Positive, and Energy Stable Schemes for Multi-D Poisson-Nernst-Planck Systems. J. Sci. Comput. 87(3): 92 (2021) - [j65]Hailiang Liu:
Analysis of direct discontinuous Galerkin methods for multi-dimensional convection-diffusion equations. Numerische Mathematik 147(4): 839-867 (2021) - [j64]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): 1464 (2021) - [j63]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): 2321-2345 (2021) - [i15]Hailiang Liu, Peimeng Yin:
Energy stable Runge-Kutta discontinuous Galerkin schemes for fourth order gradient flows. CoRR abs/2101.00152 (2021) - [i14]Hailiang Liu, Zhongming Wang, Peimeng Yin, Hui Yu:
Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations. CoRR abs/2102.00101 (2021) - [i13]Tianxiang Gao, Hailiang Liu, Jia Liu, Hridesh Rajan, Hongyang Gao:
A global convergence theory for deep ReLU implicit networks via over-parameterization. CoRR abs/2110.05645 (2021) - 2020
- [j62]Hailiang Liu, Wumaier Maimaitiyiming:
Positive and free energy satisfying schemes for diffusion with interaction potentials. J. Comput. Phys. 419: 109483 (2020) - [j61]Hailiang Liu, James Ralston, Peimeng Yin:
General superpositions of Gaussian beams and propagation errors. Math. Comput. 89(322): 675-697 (2020) - [j60]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): 6562 (2020) - [j59]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): 6872 (2020) - [i12]Hailiang Liu, Wumaier Maimaitiyiming:
Efficient, positive, and energy stable schemes for multi-D Poisson-Nernst-Planck systems. CoRR abs/2001.08350 (2020) - [i11]Matthias Kunik, Hailiang Liu, Gerald Warnecke:
Radially symmetric solutions of the ultra-relativistic Euler equations. CoRR abs/2002.01181 (2020) - [i10]Xiaokai Huo, Hailiang Liu, Athanasios E. Tzavaras, Shuaikun Wang:
An energy stable and positivity-preserving scheme for the Maxwell-Stefan diffusion system. CoRR abs/2005.08062 (2020) - [i9]Hailiang Liu, Peimeng Yin:
On the SAV-DG method for a class of fourth order gradient flows. CoRR abs/2008.11877 (2020) - [i8]Hailiang Liu, Xuping Tian:
AEGD: Adaptive Gradient Decent with Energy. CoRR abs/2010.05109 (2020)
2010 – 2019
- 2019
- [j58]Hailiang Liu, Linrui Qian:
Alternating evolution methods for static Hamilton-Jacobi equations. J. Comput. Appl. Math. 351: 270-289 (2019) - [j57]Hui Yu, Hailiang Liu:
Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity. J. Comput. Phys. 391: 14-36 (2019) - [j56]Hailiang Liu, Peimeng Yin:
Unconditionally Energy Stable DG Schemes for the Swift-Hohenberg Equation. J. Sci. Comput. 81(2): 789-819 (2019) - [j55]Zhidu Li, Hailiang Liu, Ruyan Wang:
Service Benefit Aware Multi-Task Assignment Strategy for Mobile Crowd Sensing. Sensors 19(21): 4666 (2019) - [j54]Hailiang Liu, Robin Gröpler, Gerald Warnecke:
A High Order Positivity Preserving DG Method for Coagulation-Fragmentation Equations. SIAM J. Sci. Comput. 41(3): B448-B465 (2019) - [j53]Nianyu Yi, Yunqing Huang, Hailiang Liu:
A Conservative Discontinuous Galerkin Method for Nonlinear Electromagnetic Schrödinger Equations. SIAM J. Sci. Comput. 41(6): B1389-B1411 (2019) - [i7]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 abs/1907.11844 (2019) - [i6]Hailiang Liu, Wumaier Maimaitiyiming:
Unconditional positivity-preserving and energy stable schemes for a reduced Poisson-Nernst-Planck system. CoRR abs/1909.13161 (2019) - [i5]Hailiang Liu, Peimeng Yin:
A mixed discontinuous Galerkin method without interior penalty for time-dependent fourth order problems. CoRR abs/1910.00085 (2019) - [i4]Hailiang Liu, Wumaier Maimaitiyiming:
Positive and free energy satisfying schemes for diffusion with interaction potentials. CoRR abs/1910.00151 (2019) - [i3]Hailiang Liu, Peimeng Yin:
Unconditionally energy stable DG schemes for the Swift-Hohenberg equation. CoRR abs/1910.00172 (2019) - [i2]Xiaokai Huo, Hailiang Liu:
A positivity-preserving energy stable scheme for a quantum diffusion equation. CoRR abs/1912.00813 (2019) - [i1]Hailiang Liu, Peimeng Yin:
Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation. CoRR abs/1912.10197 (2019) - 2018
- [j52]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: 385-409 (2018) - [j51]Hailiang Liu, Peimeng Yin:
A Mixed Discontinuous Galerkin Method Without Interior Penalty for Time-Dependent Fourth Order Problems. J. Sci. Comput. 77(1): 467-501 (2018) - [j50]Hailiang Liu, Hairui Wen:
Error estimates for the AEDG method to one-dimensional linear convection-diffusion equations. Math. Comput. 87(309): 123-148 (2018) - 2017
- [j49]Hailiang Liu, Zhongming Wang:
A free energy satisfying discontinuous Galerkin method for one-dimensional Poisson-Nernst-Planck systems. J. Comput. Phys. 328: 413-437 (2017) - 2016
- [j48]Hailiang Liu, Michael Pollack:
Alternating evolution discontinuous Galerkin methods for convection-diffusion equations. J. Comput. Phys. 307: 574-592 (2016) - [j47]Hailiang Liu, Nianyu Yi:
A Hamiltonian preserving discontinuous Galerkin method for the generalized Korteweg-de Vries equation. J. Comput. Phys. 321: 776-796 (2016) - [j46]Hailiang Liu, Zhongming Wang:
An Entropy Satisfying Discontinuous Galerkin Method for Nonlinear Fokker-Planck Equations. J. Sci. Comput. 68(3): 1217-1240 (2016) - [j45]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): 2454-2494 (2016) - [j44]Hailiang Liu, Yulong Xing:
An Invariant Preserving Discontinuous Galerkin Method for the Camassa-Holm Equation. SIAM J. Sci. Comput. 38(4) (2016) - [j43]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): 368-381 (2016) - 2015
- [j42]Yongki Lee, Hailiang Liu:
Threshold for shock formation in the hyperbolic Keller-Segel model. Appl. Math. Lett. 50: 56-63 (2015) - [j41]Wenying Lu, Yunqing Huang, Hailiang Liu:
Mass preserving discontinuous Galerkin methods for Schrödinger equations. J. Comput. Phys. 282: 210-226 (2015) - [j40]Hailiang Liu, Hui Yu:
The Entropy Satisfying Discontinuous Galerkin Method for Fokker-Planck equations. J. Sci. Comput. 62(3): 803-830 (2015) - [j39]Hailiang Liu:
Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations. Math. Comput. 84(295): 2263-2295 (2015) - [j38]Hailiang Liu, Nattapol Ploymaklam:
A local discontinuous Galerkin method for the Burgers-Poisson equation. Numerische Mathematik 129(2): 321-351 (2015) - [j37]Hailiang Liu, Wenli Cai, Ning Su:
Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions. SIAM J. Numer. Anal. 53(3): 1393-1417 (2015) - 2014
- [j36]Hailiang Liu, Hui Yu:
Entropy/energy stable schemes for evolutionary dispersal models. J. Comput. Phys. 256: 656-677 (2014) - [j35]Hailiang Liu, Michael Pollack:
Alternating evolution discontinuous Galerkin methods for Hamilton-Jacobi equations. J. Comput. Phys. 258: 31-46 (2014) - [j34]Hailiang Liu, Zhongming Wang:
A free energy satisfying finite difference method for Poisson-Nernst-Planck equations. J. Comput. Phys. 268: 363-376 (2014) - [j33]Hailiang Liu, James Ralston, Olof Runborg, Nicolay M. Tanushev:
Gaussian Beam Methods for the Helmholtz Equation. SIAM J. Appl. Math. 74(3): 771-793 (2014) - [j32]Hailiang Liu, Hui Yu:
Maximum-Principle-Satisfying Third Order Discontinuous Galerkin Schemes for Fokker-Planck Equations. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j31]Hailiang Liu:
The alternating evolution methods for first order nonlinear partial differential equations. Commun. Inf. Syst. 13(3): 291-325 (2013) - [j30]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: 351-366 (2013) - [j29]Hailiang Liu, Olof Runborg, Nicolay M. Tanushev:
Error estimates for Gaussian beam superpositions. Math. Comput. 82(282): 919-952 (2013) - [j28]Hailiang Liu, Michael Pollack, Haseena Saran:
Alternating Evolution Schemes for Hamilton-Jacobi Equations. SIAM J. Sci. Comput. 35(1) (2013) - 2012
- [j27]Yunqing Huang, Hailiang Liu, Nianyu Yi:
Recovery of normal derivatives from the piecewise L2 projection. J. Comput. Phys. 231(4): 1230-1243 (2012) - [j26]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): 59-86 (2012) - [j25]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): 3617-3648 (2012) - [j24]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): 1207-1239 (2012) - 2011
- [j23]Hailiang Liu, Zhongming Wang, Rodney O. Fox:
A level set approach for dilute non-collisional fluid-particle flows. J. Comput. Phys. 230(4): 920-936 (2011) - [j22]Haseena Saran, Hailiang Liu:
Alternating Evolution Schemes for Hyperbolic Conservation Laws. SIAM J. Sci. Comput. 33(6): 3210-3240 (2011)
2000 – 2009
- 2009
- [j21]Hailiang Liu, Zhongming Wang:
A Bloch band based level set method for computing the semiclassical limit of Schrödinger equations. J. Comput. Phys. 228(9): 3326-3344 (2009) - [j20]Hailiang Liu, James Ralston:
Recovery of High Frequency Wave Fields for the Acoustic Wave Equation. Multiscale Model. Simul. 8(2): 428-444 (2009) - [j19]Hailiang Liu, James Ralston:
Recovery of High Frequency Wave Fields from Phase Space-Based Measurements. Multiscale Model. Simul. 8(2): 622-644 (2009) - [j18]Pierre Degond, Hailiang Liu:
Kinetic models for polymers with inertial effects. Networks Heterog. Media 4(4): 625-647 (2009) - 2008
- [j17]Hailiang Liu, Zhongming Wang:
Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics. J. Sci. Comput. 35(2-3): 192-218 (2008) - [j16]Chun Liu, Hailiang Liu:
Boundary Conditions for the Microscopic FENE Models. SIAM J. Appl. Math. 68(5): 1304-1315 (2008) - [j15]Hailiang Liu, Jue Yan:
The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems. SIAM J. Numer. Anal. 47(1): 675-698 (2008) - 2007
- [j14]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): 591-614 (2007) - 2006
- [j13]Hailiang Liu, Jue Yan:
A local discontinuous Galerkin method for the Korteweg-de Vries equation with boundary effect. J. Comput. Phys. 215(1): 197-218 (2006) - [j12]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): 353-373 (2006) - 2004
- [j11]Hailiang Liu, Marshall Slemrod:
KdV dynamics in the plasma-sheath transition. Appl. Math. Lett. 17(4): 401-410 (2004) - 2003
- [j10]Hailiang Liu:
The l global decay to discrete shocks for scalar monotone schemes. Math. Comput. 72(241): 227-245 (2003) - [j9]Eitan Tadmor, Hailiang Liu:
Critical Thresholds in 2D Restricted Euler-Poisson Equations. SIAM J. Appl. Math. 63(6): 1889-1910 (2003) - [j8]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): 925-938 (2003) - 2001
- [j7]Hailiang Liu, Jinghua Wang, Gerald Warnecke:
Convergence rates to discrete shocks for nonconvex conservation laws. Numerische Mathematik 88(3): 513-541 (2001) - [j6]Hailiang Liu, Eitan Tadmor:
Critical Thresholds in a Convolution Model for Nonlinear Conservation Laws. SIAM J. Math. Anal. 33(4): 930-945 (2001) - 2000
- [j5]Hailiang Liu:
Convergence rates to the discrete travelling wave for relaxation schemes. Math. Comput. 69(230): 583-608 (2000) - [j4]Hailiang Liu, Gerald Warnecke:
Convergence Rates for Relaxation Schemes Approximating Conservation Laws. SIAM J. Numer. Anal. 37(4): 1316-1337 (2000) - [j3]Hailiang Liu, Jinghua Wang, Gerald Warnecke:
The LIP+ -Stability and Error Estimates for a Relaxation Scheme. SIAM J. Numer. Anal. 38(4): 1154-1170 (2000)
1990 – 1999
- 1997
- [j2]Hailiang Liu, Jinghua Wang:
Decay rate for perturbations of stationary discrete shocks for convex scalar conservation laws. Math. Comput. 66(217): 69-84 (1997) - 1996
- [j1]Hailiang Liu, Jinghua Wang:
Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws. Math. Comput. 65(215): 1137-1153 (1996)
Coauthor Index
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