I am currently a Ph.D. student in the Department of computational Mathematics, Tsinghua University, under the professor Dinghui Yang.
I received my Bachelor’s degree in University of Science and Technology of China in Heifei, China, where I am a member of 2016 in School of Mathematics science.

Research

My research interests mainly lie in Deep Learning for solving partial differential equations, but also include convex optimazation, deep learning, partial differential numerical solutions and quantitative trading.
Indeed, My main concern is how to use deep learning to accelerate the computational speed of traditional numerical format for partial differential equations. My personal interest is to explore market rules in a quantitative way.

Course

• undergraduate course: c language, mathematical analysis, algebra, linear algebra, data structure and database, real analysis, differential equations, complex analysis, functional analysis, modern algebra, combinatorics, probability theory, mathematical statistics, stochastic process, numerical algebra, operations research, management science, economics, etc., the math classes are top grades;
• PhD: Algorithm Analysis and Design, Advanced Numerical Analysis, Big Data and Computing, Fundamentals of machine learning, Finite Element Methods, Modern Optimization Methods, Difference methods, Inverse problem theory and Applications, Deep learning, etc

Publications

4. Chang Y, Yang D, He X. A deep learning operator-based numerical scheme method for solving 1-D wave equations[J]. Journal of Geophysics and Engineering, 2024: gxae062.

3. Yunfan Chang, Dinghui Yang, and Xijun He. “A robust numerical method based on deep learning operator for solving the 2D acoustic wave equation,” GEOPHYSICS 2024, 89(4): T195-T205.

2. Jiandong Huang, Dinghui Yang, Xijun He, and Yunfan Chang. “Wavefield simulation with the discontinuous Galerkin method for poroelastic wave equation in triple-porosity media”. GEOPHYSICS 2023 88:3, T121-T135.

1. HE XiJun, YANG DingHui, QIU ChuJun, ZHOU YanJie, CHANG YunFan. 2021. A parallel weighted Runge-Kutta discontinuous galerkin method for solving acousitc wave equations in 3D D’Alembert media on unstructured meshes. Chinese Journal of Geophysics (in Chinese), 64(3): 876-895.

Honors and Awards