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Jian-Guo Liu 0006
Person information
- affiliation: Duke University, Departments of Mathematics and Physics, NC, USA
- affiliation: University of Maryland, Institute for Physical Science and Technology and Department of Mathematics College Park, MD, USA
Other persons with the same name
- Jianguo Liu (aka: Jian-Guo Liu, Jian Guo Liu) — disambiguation page
- Jian-Guo Liu 0007 (aka: Jianguo Liu 0007) — Jiangxi University of Traditional Chinese Medicine, College of Computer, China (and 1 more)
- Jian-Guo Liu 0008 — Jiangxi University of Traditional Chinese Medicine, College of Computer, China
- Jianguo Liu 0001 — University of North Texas
- Jianguo Liu 0002 — Southeast Univesity Nanjing
- Jianguo Liu 0003 — Ordnance Engineering College, Shijiazhuang
- Jianguo Liu 0004 (aka: J. G. Liu 0001) — Huazhong University of Science and Technology, China
- Jian Guo Liu 0005 (aka: Jianguo Liu 0005) — Imperial College London, Department of Earth Science and Engineering, UK
- Jianguo Liu 0009 — Chinese Academy of Sciences, Key Laboratory of Environmental Optics and Technology, Hefei, China
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2020 – today
- 2024
- [j61]Vladislav Cherepanov, Jian-Guo Liu, Zhongmin Qian:
On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows. J. Sci. Comput. 99(2): 42 (2024) - [j60]Jian-Guo Liu, Robert L. Pego:
A Simple Construction of Fat Cantor Sets. Am. Math. Mon. 131(6): 525 (2024) - [i13]Jian-Guo Liu, Thomas Witelski, Xiaoqian Xu, Jiaqi Zhang:
A Three-dimensional tumor growth model and its boundary instability. CoRR abs/2401.04954 (2024) - 2023
- [j59]Yuan Gao, Jian-Guo Liu:
A Selection Principle for Weak KAM Solutions via Freidlin-Wentzell Large Deviation Principle of Invariant Measures. SIAM J. Math. Anal. 55(6): 6457-6495 (2023) - [i12]Jian-Guo Liu, Zibu Liu:
Diffusion approximations of Oja's online principal component analysis. CoRR abs/2301.01339 (2023) - [i11]Vladislav Cherepanov, Jian-Guo Liu, Z. Qian:
On the dynamics of the boundary vorticity for incompressible viscous flows. CoRR abs/2308.13055 (2023) - 2022
- [j58]Katy Craig, Jian-Guo Liu, Jianfeng Lu, Jeremy Louis Marzuola, Li Wang:
A proximal-gradient algorithm for crystal surface evolution. Numerische Mathematik 152(3): 631-662 (2022) - [j57]Yuan Gao, Jian-Guo Liu:
Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting. SIAM J. Sci. Comput. 44(2): 310- (2022) - 2021
- [j56]Jingwei Hu, Jian-Guo Liu, Yantong Xie, Zhennan Zhou:
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration. J. Comput. Phys. 433: 110195 (2021) - [j55]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
Toward Understanding the Boundary Propagation Speeds in Tumor Growth Models. SIAM J. Appl. Math. 81(3): 1052-1076 (2021) - [j54]Shi Jin, Lei Li, Jian-Guo Liu:
Convergence of the Random Batch Method for Interacting Particles with Disparate Species and Weights. SIAM J. Numer. Anal. 59(2): 746-768 (2021) - 2020
- [j53]Shi Jin, Lei Li, Jian-Guo Liu:
Random Batch Methods (RBM) for interacting particle systems. J. Comput. Phys. 400 (2020) - [j52]Lei Li, Jian-Guo Liu:
Large time behaviors of upwind schemes and B-schemes for Fokker-Planck equations on ℝ by jump processes. Math. Comput. 89(325): 2283-2320 (2020) - [i10]Shi Jin, Lei Li, Jian-Guo Liu:
Convergence of Random Batch Method for interacting particles with disparate species and weights. CoRR abs/2003.11257 (2020) - [i9]Lei Li, Jian-Guo Liu, Yijia Tang:
A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method. CoRR abs/2004.05614 (2020) - [i8]Katy Craig, Jian-Guo Liu, Jianfeng Lu, Jeremy Louis Marzuola, Li Wang:
A Proximal-Gradient Algorithm for Crystal Surface Evolution. CoRR abs/2006.12528 (2020)
2010 – 2019
- 2019
- [j51]Lei Li, Jian-Guo Liu:
A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows. SIAM J. Numer. Anal. 57(5): 2095-2120 (2019) - [j50]Qiwei Zhan, Mingwei Zhuang, Zhennan Zhou, Jian-Guo Liu, Qing Huo Liu:
Complete-Q Model for Poro-Viscoelastic Media in Subsurface Sensing: Large-Scale Simulation With an Adaptive DG Algorithm. IEEE Trans. Geosci. Remote. Sens. 57(7): 4591-4599 (2019) - [i7]Yuanyuan Feng, Tingran Gao, Lei Li, Jian-Guo Liu, Yulong Lu:
Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation. CoRR abs/1902.00635 (2019) - [i6]Lei Li, Jian-Guo Liu, Zibu Liu, Jianfeng Lu:
A stochastic version of Stein Variational Gradient Descent for efficient sampling. CoRR abs/1902.03394 (2019) - [i5]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
Towards understanding the boundary propagation speeds in tumor growth models. CoRR abs/1910.11502 (2019) - [i4]Jingwei Hu, Jian-Guo Liu, Yantong Xie, Zhennan Zhou:
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration. CoRR abs/1911.07619 (2019) - [i3]Jian-Guo Liu, Jinhuan Wang, Zhennan Zhou, Yu Zhao:
Field model for complex ionic fluids: analytical properties and numerical investigation. CoRR abs/1912.09208 (2019) - 2018
- [j49]Yuanyuan Feng, Lei Li, Jian-Guo Liu, Xiaoqian Xu:
A note on one-dimensional time fractional ODEs. Appl. Math. Lett. 83: 87-94 (2018) - [j48]Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou:
An accurate front capturing scheme for tumor growth models with a free boundary limit. J. Comput. Phys. 364: 73-94 (2018) - [j47]Frédéric Coquel, Shi Jin, Jian-Guo Liu, Li Wang:
Entropic sub-cell shock capturing schemes via Jin-Xin relaxation and Glimm front sampling for scalar conservation laws. Math. Comput. 87(311): 1083-1126 (2018) - [j46]Jian-Guo Liu, Li Wang, Zhennan Zhou:
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Math. Comput. 87(311): 1165-1189 (2018) - [j45]Yu Gao, Lei Li, Jian-Guo Liu:
A Dispersive Regularization for the Modified Camassa-Holm Equation. SIAM J. Math. Anal. 50(3): 2807-2838 (2018) - [j44]Lei Li, Jian-Guo Liu:
A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs. SIAM J. Math. Anal. 50(3): 2867-2900 (2018) - [j43]Lei Li, Jian-Guo Liu:
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs. SIAM J. Math. Anal. 50(4): 3963-3995 (2018) - 2017
- [j42]Pierre Degond, Jian-Guo Liu, Robert L. Pego:
Coagulation-Fragmentation Model for Animal Group-Size Statistics. J. Nonlinear Sci. 27(2): 379-424 (2017) - [j41]Yuan Gao, Jian-Guo Liu, Jianfeng Lu:
Continuum Limit of a Mesoscopic Model with Elasticity of Step Motion on Vicinal Surfaces. J. Nonlinear Sci. 27(3): 873-926 (2017) - [j40]Jian-Guo Liu, Zheng Ma, Zhennan Zhou:
Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives. J. Sci. Comput. 72(1): 291-313 (2017) - [j39]Jian-Guo Liu, Rong Yang:
A random particle blob method for the Keller-Segel equation and convergence analysis. Math. Comput. 86(304): 725-745 (2017) - [j38]Hui Huang, Jian-Guo Liu:
Error estimate of a random particle blob method for the Keller-Segel equation. Math. Comput. 86(308): 2719-2744 (2017) - [j37]Yu Gao, Jian-Guo Liu:
Global Convergence of a Sticky Particle Method for the Modified Camassa-Holm Equation. SIAM J. Math. Anal. 49(2): 1267-1294 (2017) - [j36]Yuan Gao, Jian-Guo Liu, Jianfeng Lu:
Weak Solution of a Continuum Model For Vicinal Surface in The Attachment-Detachment-Limited Regime. SIAM J. Math. Anal. 49(3): 1705-1731 (2017) - [j35]Jian-Guo Liu, Xiangsheng Xu:
Analytical Validation of a Continuum Model for the Evolution of a Crystal Surface in Multiple Space Dimensions. SIAM J. Math. Anal. 49(3): 2220-2245 (2017) - [i2]Chris Junchi Li, Lei Li, Junyang Qian, Jian-Guo Liu:
Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent. CoRR abs/1705.07562 (2017) - [i1]Zheqing Zhu, Jian-Guo Liu, Lei Li:
A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction. CoRR abs/1709.03611 (2017) - 2016
- [j34]Jian-Guo Liu, Jinhuan Wang:
Refined hyper-contractivity and uniqueness for the Keller-Segel equations. Appl. Math. Lett. 52: 212-219 (2016) - [j33]Hui Huang, Jian-Guo Liu:
A note on Monge-Ampère Keller-Segel equation. Appl. Math. Lett. 61: 26-34 (2016) - [j32]Jingrun Chen, Jian-Guo Liu, Zhennan Zhou:
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. Multiscale Model. Simul. 14(4): 1463-1487 (2016) - [j31]Jian-Guo Liu, Xiangsheng Xu:
Existence Theorems for a Multidimensional Crystal Surface Model. SIAM J. Math. Anal. 48(6): 3667-3687 (2016) - 2015
- [j30]Yunhua Xue, Cheng Wang, Jian-Guo Liu:
Simple Finite Element Numerical Simulation of Incompressible Flow Over Non-rectangular Domains and the Super-Convergence Analysis. J. Sci. Comput. 65(3): 1189-1216 (2015) - [j29]Gregory J. Herschlag, Jian-Guo Liu, A. T. Layton:
An Exact Solution for Stokes Flow in a Channel with Arbitrarily Large Wall Permeability. SIAM J. Appl. Math. 75(5): 2246-2267 (2015) - 2014
- [j28]Pierre Degond, Jian-Guo Liu, Christian A. Ringhofer:
Large-Scale Dynamics of Mean-Field Games Driven by Local Nash Equilibria. J. Nonlinear Sci. 24(1): 93-115 (2014) - [j27]Hans Johnston, Cheng Wang, Jian-Guo Liu:
A Local Pressure Boundary Condition Spectral Collocation Scheme for the Three-Dimensional Navier-Stokes Equations. J. Sci. Comput. 60(3): 612-626 (2014) - [j26]Pierre Degond, Michael Herty, Jian-Guo Liu:
Flow on Sweeping Networks. Multiscale Model. Simul. 12(2): 538-565 (2014) - 2013
- [j25]Thierry Goudon, Shi Jin, Jian-Guo Liu, Bokai Yan:
Asymptotic-preserving schemes for kinetic-fluid modeling of disperse two-phase flows. J. Comput. Phys. 246: 145-164 (2013) - [j24]Pierre Degond, Amic Frouvelle, Jian-Guo Liu:
Macroscopic Limits and Phase Transition in a System of Self-propelled Particles. J. Nonlinear Sci. 23(3): 427-456 (2013) - [j23]Shi Jin, Jian-Guo Liu, Li Wang:
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. Math. Comput. 82(282): 749-779 (2013) - [j22]Xiuqing Chen, Jian-Guo Liu:
Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces. SIAM J. Math. Anal. 45(3): 1179-1215 (2013) - [j21]Yin-Liang Huang, Jian-Guo Liu, Wei-Cheng Wang:
A Generalized MAC Scheme on Curvilinear Domains. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j20]Xiuqing Chen, Jian-Guo Liu:
Two nonlinear compactness theorems in Lp(0, T;B). Appl. Math. Lett. 25(12): 2252-2257 (2012) - [j19]Amic Frouvelle, Jian-Guo Liu:
Dynamics in a Kinetic Model of Oriented Particles with Phase Transition. SIAM J. Math. Anal. 44(2): 791-826 (2012) - [j18]Li Chen, Jian-Guo Liu, Jinhuan Wang:
Multidimensional Degenerate Keller-Segel System with Critical Diffusion Exponent 2n/(n+2). SIAM J. Math. Anal. 44(2): 1077-1102 (2012) - [j17]Alina Chertock, Jian-Guo Liu, Terrance Pendleton:
Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs. SIAM J. Numer. Anal. 50(1): 1-21 (2012) - 2010
- [j16]Jian-Guo Liu, Jie Liu, Robert L. Pego:
Stable and accurate pressure approximation for unsteady incompressible viscous flow. J. Comput. Phys. 229(9): 3428-3453 (2010) - [j15]Jian-Guo Liu, Luc Mieussens:
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit. SIAM J. Numer. Anal. 48(4): 1474-1491 (2010)
2000 – 2009
- 2009
- [j14]Jian-Guo Liu, Wei-Cheng Wang:
Characterization and Regularity for Axisymmetric Solenoidal Vector Fields with Application to Navier-Stokes Equation. SIAM J. Math. Anal. 41(5): 1825-1850 (2009) - 2008
- [j13]Xiliang Lu, Ping Lin, Jian-Guo Liu:
Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Math. Comput. 77(263): 1467-1494 (2008) - [j12]Pierre Degond, Jian-Guo Liu, Marie Hélène Vignal:
Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit. SIAM J. Numer. Anal. 46(3): 1298-1322 (2008) - [j11]Ping Lin, Jian-Guo Liu, Xiliang Lu:
Long Time Numerical Solution of the Navier--Stokes Equations Based on a Sequential Regularization Formulation. SIAM J. Sci. Comput. 31(1): 398-419 (2008) - 2006
- [j10]Pierre Degond, Jian-Guo Liu, Luc Mieussens:
Macroscopic Fluid Models with Localized Kinetic Upscaling Effects. Multiscale Model. Simul. 5(3): 940-979 (2006) - [j9]Jian-Guo Liu, Wei-Cheng Wang:
Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows. SIAM J. Numer. Anal. 44(6): 2456-2480 (2006) - 2004
- [j8]Bo Li, Jian-Guo Liu:
Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling. J. Nonlinear Sci. 14(5): 429-451 (2004) - [j7]Cheng Wang, Jian-Guo Liu, Hans Johnston:
Analysis of a fourth order finite difference method for the incompressible Boussinesq equations. Numerische Mathematik 97(3): 555-594 (2004) - 2003
- [j6]Jian-Guo Liu, Cheng Wang, Hans Johnston:
A Fourth Order Scheme for Incompressible Boussinesq Equations. J. Sci. Comput. 18(2): 253-285 (2003) - [j5]Karthikeyan Duraisamy, James D. Baeder, Jian-Guo Liu:
Concepts and Application of Time-Limiters to High Resolution Schemes. J. Sci. Comput. 19(1-3): 139-162 (2003) - 2002
- [j4]Weinan E, Jian-Guo Liu:
Projection method III: Spatial discretization on the staggered grid. Math. Comput. 71(237): 27-47 (2002) - [j3]Cheng Wang, Jian-Guo Liu:
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. Numerische Mathematik 91(3): 543-576 (2002) - 2001
- [j2]Jian-Guo Liu, Weinan E:
Simple finite element method in vorticity formulation for incompressible flows. Math. Comput. 70(234): 579-593 (2001) - [j1]Jian-Guo Liu, Zhouping Xin:
Convergence of the point vortex method for 2-D vortex sheet. Math. Comput. 70(234): 595-606 (2001)
Coauthor Index
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