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Jian-Guo Liu

Professor of Physics
Physics
Box 90320, Durham, NC 27708-0320
285 Physics Bldg, Durham, NC 27708

Current Appointments & Affiliations


Professor of Physics · 2009 - Present Physics, Trinity College of Arts & Sciences
Professor of Mathematics · 2009 - Present Mathematics, Trinity College of Arts & Sciences
Professor of Physics and Mathematics at Duke Kunshan University · 2023 - Present DKU Faculty

In the News


Published April 19, 2021
The Physics of "In-Between" Is Changing Our Understanding of Physical Transitions
Published November 21, 2016
Liu Named Fellow of the American Mathematical Society

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Recent Publications


On the discrete Poincaré inequality for B-schemes of 1D Fokker-Planck equations in full space

Journal Article Quarterly of Applied Mathematics · March 4, 2026 In this paper, we propose two approaches to derive the discrete PoincarĂ© inequality for the B-schemes, a family of finite volume discretization schemes, for the one-dimensional Fokker-Planck equation in full space. We study the properties of the spatial ... Full text Cite

Convergence of Random Batch Method with replacement for interacting particle systems

Journal Article Mathematics of Computation · February 27, 2026 The Random Batch Method (RBM) proposed by [J. Comput. Phys. 400 (2020), p. 30] is an efficient algorithm for simulating interacting particle systems (IPS). In this paper, we investigate the Random Batch Method with replacement (RBM- ... Full text Cite

Data assimilation models for computing probability distributions of complex multiscale systems

Journal Article Journal of Computational Physics · January 15, 2026 We introduce a data assimilation strategy aimed at accurately capturing key non-Gaussian structures in probability distributions using a small ensemble size. A major challenge in statistical forecasting of nonlinearly coupled multiscale systems is mitigati ... Full text Cite
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Recent Grants


RTG: Training Tomorrow's Workforce in Analysis and Applications

Inst. Training Prgm or CMECo-Principal Investigator · Awarded by National Science Foundation · 2021 - 2027

Collaborative Research: Dynamics, singularities, and variational structure in models of fluids and clustering

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2021 - 2025

Collaborative Research: Nonlocal models of aggregation and dispersion

ResearchPrincipal Investigator · Awarded by National Science Foundation · 2018 - 2022

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Education


University of California, Los Angeles · 1990 Ph.D.
Fudan University (China) · 1985 M.S.
Fudan University (China) · 1982 B.S.