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个人简介
My research interest is (I) PDE analysis and numerical simulations for problems in materials sciences and interface dynamics, and (II) applied stochastic analysis for the Langevin dynamics in data science and surface hopping. I mainly work on 4th order degenerated parabolic equations, coupled Ginzburg-Landau systems with dynamic boundary condition and multiscale models including phase transition and defects motion. I also work on numerical methods on contact line dynamics, Bayesian inference, manifold learning, hidden Markov model. The main tools involved are calculus of variation, convex analysis, maximal monotone operator, spectral analysis, gradient flows in metric spaces, optimal control theory, and applied stochastic calculus.
研究兴趣
论文共 54 篇作者统计合作学者相似作者
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CoRR (2024)
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Journal of Scientific Computingno. 1 (2024): 1-38
arxiv(2024)
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JOURNAL OF ECONOMETRICSno. 2 (2024): 105629
Xuetong Li,Yuan Gao, Hong Chang,Danyang Huang,Yingying Ma,Rui Pan,Haobo Qi,Feifei Wang,Shuyuan Wu,Ke Xu,Jing Zhou,Xuening Zhu,
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2023)
arXiv (Cornell University) (2023)
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Multiscale Model. Simul.no. 4 (2023): 1534-1569
JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICSno. 3 (2023): 1083-1096
arXiv (Cornell University) (2023)
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