Shenzhen University School of Mathematical Sciences  

Liyuan Scholars Colloquium Session 173

Title: Local discontinuous Galerkin method for the time-fractional Oseen equations

Speaker: Professor Changpin Li  (Shanghai University )

Time: 15:00–16:00, June 12, 2026

Location: Room 4, Huixing Building, Yuehai Campus, Shenzhen University

Abstract:  The time-fractional Oseen equations are studied in this article, where the time-fractional derivative is in the sense of Caputo with order α∈(0, 1). The L1 formula with uniform and nonuniform meshes is applied to approximating the temporal fractional derivative, and the local discontinuous Galerkin method is developed to approach the space derivative. The numerical stability and the error estimates of the constructed schemes concerning velocity, stress (gradient of velocity), and pressure are shown. Moreover, the fast L1 algorithm is developed to accelerate the evaluation of the Caputo derivative. Finally, numerical examples are presented to testify the effectiveness of the derived algorithms.

Speaker Profile: Changpin Li is a professor and doctoral advisor in the Department of Mathematics at Shanghai University, a Wei Chang Scholar, a member of the new 2026–2030 National Ministry of Education Committee on University Mathematics Curriculum, and a Fellow of the Institute of Mathematics and its Applications (UK). His research focuses on numerical methods for fractional partial differential equations. He serves as the founding editor-in-chief of the series “Fractional Calculus in Applied Sciences and Engineering” published by De Gruyter in Germany, and serves on the editorial boards of several SCI-indexed journals, including Applied Numerical Mathematics, Fractional Calculus and Applied Analysis, and the Journal of Nonlinear Science. In 2025, he received the Second Prize of the Shanghai Natural Science Award; in 2021, he was awarded the Wang Kuancheng Talent Cultivation Award from Shanghai University; in 2016, he was selected as an Outstanding Doctoral Thesis Advisor in Shanghai; and in 2011, he received the Baosteel Outstanding Teacher Award.

All faculty and students are welcome!  

School of Mathematical Sciences  

June 10, 2026