About Me
I'm a Ph.D. student in computational mathematics at University of Science and Technology of China, advised by Prof. Mengping Zhang and Assoc. Prof. Yan Jiang.
Research Interests
My research interests include low-rank and tensor methods, dynamical low-rank approximation, and reduced-order modeling for time-dependent partial differential equations.
My current work focuses on multiscale kinetic equations and structure-preserving low-rank methods.
Publications & Preprints
An Asymptotic-Preserving Dynamical Low-Rank Semi-Lagrangian Method for Multiscale Linear Kinetic Transport Equations
Preprint (2026)
Temporal-Stability-Enhanced and Energy-Stable Dynamical Low-Rank Approximation for Multiscale Linear Kinetic Transport Equations
SIAM Journal on Scientific Computing (In press)
High-Order Implicit Low-Rank Method with Spectral Deferred Correction for Matrix Differential Equations
Journal of Scientific Computing (2026)
Inverse Lax-Wendroff Boundary Treatment of Discontinuous Galerkin Method for 1D Conservation Laws
Communications on Applied Mathematics and Computation (2025)
Education
Ph.D. in Computational Mathematics
Advised by Prof. Mengping Zhang and Assoc. Prof. Yan Jiang.
B.S. in Mathematics
Teaching
Numerical Methods for Nonlinear Partial Differential Equations
Numerical Methods for Partial Differential Equations
Miscellany
💻 Beyond mathematics, programming is another lasting interest of mine; I share programming notes on my blog and have some small projects on GitHub (@fenglielie).
🎮 In my spare time, I build things in Minecraft, especially with Redstone.