Jian-Guo Liu

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 44

Top Topics

Convergence Analysis

Nash Equilibria

Boltzmann Distribution

Top Venues

SIAM J. Math. Anal.

J. Sci. Comput.

Publications

Vladislav Cherepanov, Jian-Guo Liu, Zhongmin Qian
On the Dynamics of the Boundary Vorticity for Incompressible Viscous Flows. J. Sci. Comput. 99 (2) (2024)
Jian-Guo Liu, Thomas Witelski, Xiaoqian Xu, Jiaqi Zhang
A Three-dimensional tumor growth model and its boundary instability. CoRR (2024)
Jian-Guo Liu, Robert L. Pego
A Simple Construction of Fat Cantor Sets. Am. Math. Mon. 131 (6) (2024)
Jian-Guo Liu, Zibu Liu
Diffusion approximations of Oja's online principal component analysis. CoRR (2023)
Vladislav Cherepanov, Jian-Guo Liu, Z. Qian
On the dynamics of the boundary vorticity for incompressible viscous flows. CoRR (2023)
Katy Craig, Jian-Guo Liu, Jianfeng Lu, Jeremy Louis Marzuola, Li Wang
A proximal-gradient algorithm for crystal surface evolution. Numerische Mathematik 152 (3) (2022)
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 (2021)
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) (2021)
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) (2021)
Lei Li, Jian-Guo Liu, Yijia Tang
A direct simulation approach for the Poisson-Boltzmann equation using the Random Batch Method. CoRR (2020)
Shi Jin, Lei Li, Jian-Guo Liu
Random Batch Methods (RBM) for interacting particle systems. J. Comput. Phys. 400 (2020)
Katy Craig, Jian-Guo Liu, Jianfeng Lu, Jeremy Louis Marzuola, Li Wang
A Proximal-Gradient Algorithm for Crystal Surface Evolution. CoRR (2020)
Shi Jin, Lei Li, Jian-Guo Liu
Convergence of Random Batch Method for interacting particles with disparate species and weights. CoRR (2020)
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) (2020)
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 (2019)
Jian-Guo Liu, Jinhuan Wang, Zhennan Zhou, Yu Zhao
Field model for complex ionic fluids: analytical properties and numerical investigation. CoRR (2019)
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) (2019)
Jian-Guo Liu, Min Tang, Li Wang, Zhennan Zhou
Towards understanding the boundary propagation speeds in tumor growth models. CoRR (2019)
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) (2019)
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 (2019)
Lei Li, Jian-Guo Liu, Zibu Liu, Jianfeng Lu
A stochastic version of Stein Variational Gradient Descent for efficient sampling. CoRR (2019)
Yuanyuan Feng, Lei Li, Jian-Guo Liu, Xiaoqian Xu
A note on one-dimensional time fractional ODEs. Appl. Math. Lett. 83 (2018)
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) (2018)
Jian-Guo Liu, Li Wang, Zhennan Zhou
Positivity-preserving and asymptotic preserving method for 2D Keller-Segal equations. Math. Comput. 87 (311) (2018)
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 (2018)
Yu Gao, Lei Li, Jian-Guo Liu
A Dispersive Regularization for the Modified Camassa-Holm Equation. SIAM J. Math. Anal. 50 (3) (2018)
Lei Li, Jian-Guo Liu
A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs. SIAM J. Math. Anal. 50 (3) (2018)
Lei Li, Jian-Guo Liu
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs. SIAM J. Math. Anal. 50 (4) (2018)
Pierre Degond, Jian-Guo Liu, Robert L. Pego
Coagulation-Fragmentation Model for Animal Group-Size Statistics. J. Nonlinear Sci. 27 (2) (2017)
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) (2017)
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) (2017)
Jian-Guo Liu, Zheng Ma, Zhennan Zhou
Explicit and Implicit TVD Schemes for Conservation Laws with Caputo Derivatives. J. Sci. Comput. 72 (1) (2017)
Chris Junchi Li, Lei Li, Junyang Qian, Jian-Guo Liu
Batch Size Matters: A Diffusion Approximation Framework on Nonconvex Stochastic Gradient Descent. CoRR (2017)
Zheqing Zhu, Jian-Guo Liu, Lei Li
A Modified Levy Jump-Diffusion Model Based on Market Sentiment Memory for Online Jump Prediction. CoRR (2017)
Hui Huang, Jian-Guo Liu
Error estimate of a random particle blob method for the Keller-Segel equation. Math. Comput. 86 (308) (2017)
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) (2017)
Jian-Guo Liu, Rong Yang
A random particle blob method for the Keller-Segel equation and convergence analysis. Math. Comput. 86 (304) (2017)
Yu Gao, Jian-Guo Liu
Global Convergence of a Sticky Particle Method for the Modified Camassa-Holm Equation. SIAM J. Math. Anal. 49 (2) (2017)
Jian-Guo Liu, Xiangsheng Xu
Existence Theorems for a Multidimensional Crystal Surface Model. SIAM J. Math. Anal. 48 (6) (2016)
Jingrun Chen, Jian-Guo Liu, Zhennan Zhou
On a Schrödinger-Landau-Lifshitz System: Variational Structure and Numerical Methods. Multiscale Model. Simul. 14 (4) (2016)
Jian-Guo Liu, Jinhuan Wang
Refined hyper-contractivity and uniqueness for the Keller-Segel equations. Appl. Math. Lett. 52 (2016)
Hui Huang, Jian-Guo Liu
A note on Monge-Ampère Keller-Segel equation. Appl. Math. Lett. 61 (2016)
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) (2015)
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) (2015)
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) (2014)
Pierre Degond, Michael Herty, Jian-Guo Liu
Flow on Sweeping Networks. Multiscale Model. Simul. 12 (2) (2014)
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) (2014)
Pierre Degond, Amic Frouvelle, Jian-Guo Liu
Macroscopic Limits and Phase Transition in a System of Self-propelled Particles. J. Nonlinear Sci. 23 (3) (2013)
Yin-Liang Huang, Jian-Guo Liu, Wei-Cheng Wang
A Generalized MAC Scheme on Curvilinear Domains. SIAM J. Sci. Comput. 35 (5) (2013)
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 (2013)
Xiuqing Chen, Jian-Guo Liu
Analysis of Polymeric Flow Models and Related Compactness Theorems in Weighted Spaces. SIAM J. Math. Anal. 45 (3) (2013)
Shi Jin, Jian-Guo Liu, Li Wang
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations. Math. Comput. 82 (282) (2013)
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) (2012)
Xiuqing Chen, Jian-Guo Liu
(0, T;B). Appl. Math. Lett. 25 (12) (2012)
Amic Frouvelle, Jian-Guo Liu
Dynamics in a Kinetic Model of Oriented Particles with Phase Transition. SIAM J. Math. Anal. 44 (2) (2012)
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) (2012)
Jian-Guo Liu, Jie Liu, Robert L. Pego
Stable and accurate pressure approximation for unsteady incompressible viscous flow. J. Comput. Phys. 229 (9) (2010)
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) (2010)
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) (2009)
Xiliang Lu, Ping Lin, Jian-Guo Liu
Analysis of a sequential regularization method for the unsteady Navier-Stokes equations. Math. Comput. 77 (263) (2008)
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) (2008)
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) (2008)
Pierre Degond, Jian-Guo Liu, Luc Mieussens
Macroscopic Fluid Models with Localized Kinetic Upscaling Effects. Multiscale Model. Simul. 5 (3) (2006)
Jian-Guo Liu, Wei-Cheng Wang
Convergence Analysis of the Energy and Helicity Preserving Scheme for Axisymmetric Flows. SIAM J. Numer. Anal. 44 (6) (2006)
Bo Li, Jian-Guo Liu
Epitaxial Growth Without Slope Selection: Energetics, Coarsening, and Dynamic Scaling. J. Nonlinear Sci. 14 (5) (2004)
Cheng Wang, Jian-Guo Liu, Hans Johnston
Analysis of a fourth order finite difference method for the incompressible Boussinesq equations. Numerische Mathematik 97 (3) (2004)
Jian-Guo Liu, Cheng Wang, Hans Johnston
A Fourth Order Scheme for Incompressible Boussinesq Equations. J. Sci. Comput. 18 (2) (2003)
Karthikeyan Duraisamy, James D. Baeder, Jian-Guo Liu
Concepts and Application of Time-Limiters to High Resolution Schemes. J. Sci. Comput. 19 (1-3) (2003)
Cheng Wang, Jian-Guo Liu
Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. Numerische Mathematik 91 (3) (2002)
Weinan E, Jian-Guo Liu
Projection method III: Spatial discretization on the staggered grid. Math. Comput. 71 (237) (2002)
Jian-Guo Liu, Zhouping Xin
Convergence of the point vortex method for 2-D vortex sheet. Math. Comput. 70 (234) (2001)
Jian-Guo Liu, Weinan E
Simple finite element method in vorticity formulation for incompressible flows. Math. Comput. 70 (234) (2001)