Dr. Lun Ji （纪伦）
Doctor of Philosophy
The Hong Kong Polytechnic University
Dr. Lun Ji （纪伦）
Doctor of Philosophy
The Hong Kong Polytechnic University
Embedded Files
Doctor of Philosophy
The Hong Kong Polytechnic University
About me
About me
I am a PolyU distinguished postdoctoral fellowship in the Department of Applied Mathematics at the Hong Kong Polytechnic University, starting in July 2025. My mentor is Prof. Buyang Li.
I have two PhD degrees, both in mathematics. I received one in March 2024 from the University of Innsbruck in Innsbruck, Austria, under the supervision of Prof. Alexander Ostermann; the other was received in June 2025 from the Academy of Mathematics and Systems Science (AMSS), Chinese Academy of Sciences (CAS) in Beijing, China, under the supervision of Prof. Yifa Tang. I received my bachelor's degree in 2017 from the University of Science and Technology of China (USTC).
My research centers on numerical analysis and scientific computing, with a focus on dispersive PDEs under low regularity. I develop and analyze numerical schemes, aiming for sharp results in stability, convergence, and the preservation of conservation properties.
Research Interests
Research Interests
Geometric Numerical Integration for Dispersive PDEs
Low Regularity Integrators: Design & Stability Analysis
Long-term Behaviors of Hamiltonian PDEs
Scientific Computing on GPU-Type HPCs
Selected Papers
Selected Papers
Lun Ji, Xiaofei Zhao, Error estimates of time-splitting schemes for nonlinear Klein--Gordon equation with rough data, SIAM J. Numer. Anal., 64(4): 1364--1389 (2026). arXiv DOI
Lun Ji, Hang Li, Alexander Ostermann, Chunmei Su, Filtered Lie-Trotter splitting for the "good" Boussinesq equation: low regularity error estimates, Math. Comp., 94(355): 2345--2365 (2025). arXiv DOI
Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz, Low regularity error estimates for the time integration of 2D NLS, IMA J. Numer. Anal., 45(4): 2023--2059 (2025). arXiv DOI
Lun Ji, Alexander Ostermann, Frédéric Rousset, Katharina Schratz, Low regularity full error estimates for the cubic nonlinear Schrödinger equation, SIAM J. Numer. Anal., 62(5): 2071--2086 (2024). arXiv DOI
Contact me
Contact me
Address: VA304, Shaw Amenities Building, The Hong Kong Polytechnic University, Hung Hom, Hong Kong SAR, China
Email: lun-422.ji@polyu.edu.hk jilun422@163.com jilun422@gmail.com
Page updated
Google Sites
Report abuse