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D-Index & Metrics

Mathematics

D-Index
60
Citations
11366
World Ranking
562
National Ranking
289

Overview

Jian-Guo Liu is affiliated with Duke University in the United States. Their research predominantly spans the field of Mathematics, with significant contributions in Applied Mathematics, Computational Mechanics, Statistical and Nonlinear Physics, Radiology, Nuclear Medicine and Imaging, and Mathematical Physics.

The scientist's primary topics of work include Mathematical Biology Tumor Growth, Advanced Thermodynamics and Statistical Mechanics, Navier-Stokes equation solutions, Nonlinear Partial Differential Equations, Markov Chains and Monte Carlo Methods, Advanced Mathematical Modeling in Engineering, and Radiomics and Machine Learning in Medical Imaging.

Jian-Guo Liu has published extensively, with frequent appearances in the following venues:

  • arXiv (Cornell University)
  • Medical Physics
  • Communications in Mathematical Sciences
  • Discrete and Continuous Dynamical Systems - B
  • Journal of Computational Physics

Selected recent publications include:

  • "A stochastic version of Stein variational gradient descent for efficient sampling" (2020), Communications in Applied Mathematics and Computational Science
  • "On the Mean-Field Limit for the Vlasov-Poisson-Fokker-Planck System" (2020), Journal of Statistical Physics
  • "Age-dependent aneuploidy in mammalian oocytes instigated at the second meiotic division" (2022), Aging Cell
  • "A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration" (2021), Journal of Computational Physics
  • "Intrinsic radiomic expression patterns after 20 Gy demonstrate early metabolic response of oropharyngeal cancers" (2021), Medical Physics

Frequent collaborators include Yuan Gao, Kyle J. Lafata, Lei Li, Zhennan Zhou, and Robert L. Pego.

Best Publications

  • A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

    Seung-Yeal Ha;Jian-Guo Liu

  • Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

    Marion Acheritogaray;Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • A coupled chemotaxis-fluid model: Global existence

    Jian-Guo Liu;Alexander Lorz

  • Well-posedness for Hall-magnetohydrodynamics

    Dongho Chae;Pierre Degond;Jian-Guo Liu

  • Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

    Hans Johnston;Jian-Guo Liu

  • Vorticity Boundary Condition and Related Issues for Finite Difference Schemes

    Weinan E;Jian-Guo Liu

  • Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

    Marion Arichetogaray;Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • Projection method I: convergence and numerical boundary layers

    E. Weinan;Jian-Guo Liu

  • Diversity of exact solutions to a (3+1)-dimensional nonlinear evolution equation and its reduction

    Yu-Hang Yin;Wen-Xiu Ma;Wen-Xiu Ma;Wen-Xiu Ma;Jian-Guo Liu;Xing Lü

  • Effects of Genotype and Environment on the Antioxidant Properties of Hard Winter Wheat Bran

    Jeffrey Moore;Jian-Guo Liu;Kequan Zhou;Liangli Lucy Yu

  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack;Shi Jin;Jian‐Guo Liu

  • Thin film epitaxy with or without slope selection

    Bo Li;Jian-Guo Liu

  • A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

    Jian-Guo Liu;Chi-Wang Shu

  • Random batch methods (RBM) for interacting particle systems

    Shi Jin;Lei Li;Jian-Guo Liu

  • GAUGE METHOD FOR VISCOUS INCOMPRESSIBLE FLOWS

    Weinan E;Jian-Guo Liu

  • Essentially Compact Schemes for Unsteady Viscous Incompressible Flows

    Weinan E;Jian-Guo Liu

  • Effects of solid-state yeast treatment on the antioxidant properties and protein and fiber compositions of common hard wheat bran.

    Jeffrey Moore;Zhihong Cheng;Junjie Hao;Gang Guo

  • A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs

    Lei Li;Jian-Guo Liu

  • Accurate Evaluation of Electrostatics for Macromolecules in Solution

    I-Liang Chern;Jian-Guo Liu;Wei-Cheng Wang

  • Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev–Petviashvili equation

    Jian-Guo Liu;Jian-Guo Liu;Mostafa Eslami;Hadi Rezazadeh;Mohammad Mirzazadeh

  • Macroscopic Limits and Phase Transition in a System of Self-propelled Particles

    Pierre Degond;Amic Frouvelle;Jian-Guo Liu

  • On the diffusion approximation of nonconvex stochastic gradient descent

    Wenqing Hu;Chris Junchi Li;Lei Li;Jian-Guo Liu

Frequent Co-Authors

Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Robert L. Pego
Robert L. Pego Carnegie Mellon University
Shi Jin
Shi Jin Shanghai Jiao Tong University
Jianfeng Lu
Jianfeng Lu Duke University
Weinan E
Weinan E Princeton University
Cheng Wang
Cheng Wang University of Massachusetts Dartmouth
Qing Huo Liu
Qing Huo Liu Eastern Institute of Technology, Ningbo
Zhouping Xin
Zhouping Xin Chinese University of Hong Kong
Dongho Chae
Dongho Chae Chung-Ang University
Michael Herty
Michael Herty RWTH Aachen University

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