張智文教授

Biography
(只提供英文版)

• Associate Professor in Department of Mathematics at The University of Hong Kong
• Research interests include applied and computational mathematics, particularly in modeling, analysis, and the development of numerical methods for partial differential equations (PDEs) and stochastic differential equations (SDEs) arising in science and engineering
• RFS project — Convection-diffusion type partial differential equation (PDE) systems are important research areas in applied and computational mathematics, with profound implications across diverse fields such as environmental science, chemical engineering, biology, and medical sciences. Accurately solving these PDE systems is essential for simulating real-world phenomena. However, the solutions to many convection-diffusion PDE systems often exhibit large gradients or concentrations at unknown locations, posing significant challenges for mesh-based methods like finite element methods and finite difference methods. This project aims to address these challenges by developing interacting particle-field (IPF) methods and analyzing their convergence and efficiency. In addition, this project will develop a deep particle (DP) method that integrates deep learning, optimal transport, and particle-based computational methods. Furthermore, this project will conduct numerical simulations to solve application problems arising from biomedical and engineering sciences.
• Awards and Honours:
  • RGC Research Fellow (2025)
  • Outstanding Young Researcher Award of HKU (2022)