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IntroductionLi Xiaocui, Ph.D., specializes in numerical algorithms for partial differential equations. The research area focuses on numerical methods for fractional partial differential equations, which have significant applications in biology, physics, finance, and other fields. EducationWork ExperienceSocial PositionSocial ActivitiesResearchNumerical methods for fractional partial differential equations. TeachingAdvanced Mathematics, Linear Algebra. PostgraduatesFundingTheoretical analysis and numerical method research on noise-driven space-time fractional parabolic equations, National Natural Science Foundation project, 2022.1-2024.12. Vertical ProjectHorizontal ProjectPublicationsRepresentative articles: 1. Xiaocui Li, Xu You. Mixed finite element methods for fractional Navier-Stokes equations[J]. Journal of Computational Mathematics, 2021, 39(1):130-146. 2. Xiaocui Li, Xiaoyuan Yang. Error estimates of finite element methods for fractional stochastic Navier-Stokes equations[J]. Journal of Inequalities and Applications, 2018, 284. 3. Xiaocui Li, Xiaoyuan Yang and Yinghan Zhang. Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations[J]. Journal of Scientific Computing, 2017, 70(2) : 500-515. 4. Xiaocui Li, Xiaoyuan Yang. Error estimates of finite element methods for stochastic fractional differential equations[J]. Journal of Computational Mathematics, 2017, 35 (3) :346-362. 5. Xiaoyuan Yang, Xiaocui Li, Ruisheng Qi, Yinghan Zhang. Full-discrete finite element method for stochastic hyperbolic equation[J]. Journal of Computational Mathematics, 2015, 33: 533-556.
Awards2020, Second Prize Winner in the Beijing University of Chemical Technology's Basic Teaching Skills Competition for Young Teachers. 2021, Grand Prize Winner in the First Beijing University of Chemical Technology Teaching Innovation Competition. 2022, Second Prize Winner in the Beijing University of Chemical Technology Teaching Innovation Competition. 2022, Recipient of the 17th Excellent Young Lecturer Award, Beijing University of Chemical Technology. 2022, Awarded the Title of Outstanding Young Teaching Expert, Beijing University of Chemical Technology. 2024, Second Prize Winner in the Beijing University of Chemical Technology Teaching Innovation Competition. PatentHonor RewardAdmissions Information |