About me
I am a PhD student in the Program in Applied and Computational Mathematics (PACM) at Princeton University.
I am currently co-advised by Prof. Clarence Rowley and Prof. Boris Hanin.
I received my B.S. degree from the School of Engineering, Peking University in 2025.
Academic Interests
Currently, my academic interests primarily lie at the intersection of computational mathematics, physics, and machine learning. I believe that mathematics, physics, and computation are reflections of nature at different levels, with a beautiful and deeply meaningful unity within them. I hope that by building on my academic foundation in these three areas, I can grasp their deeper unity, better understand nature, and advance technological development.
More specifically, my research interests broadly lie in
Numerical Analysis, Partial Differential Equations, and Dynamical Systems
Scientific Machine Learning
Mathematical Foundations of Machine Learning
Actively looking for discussions and possible collaborations on interesting topics.
Contact information
Feel free to reach out to me at:
Mail:xiaoyangxie@princeton.edu
Publications
X. Xie and S. Tang, “Regularized Dynamic Mode Decomposition Algorithm for Time Sequence Predictions,” Theoretical and Applied Mechanics Letters, 2024. [Official Version]
X. Xie, Z. Tao, C. Jiao and M. Zhang, “An efficient fifth-order interpolation-based Hermite WENO scheme for hyperbolic conservation laws,” Journal of Computational Physics, 2025. [Official Version]
X. Xie and C. W. Rowley, “Inertial Manifold Neural Operator for Dissipative Time-Dependent Partial Differential Equations,” arXiv preprint arXiv:2608.23546, 2026. [arXiv]
Hobbies
I have many hobbies, including reading, board games, and walking. I have a wide range of literary interests, with my favorites being Camus’s “The Plague,” Yukio Mishima’s “The Sea of Fertility,” and Dostoevsky’s “Crime and Punishment.” I love board games, as they can build a coherent and complex game system with just a small rulebook, which fascinates me. I also enjoy walking, which helps me better understand the environment I am in and my inner state. During walks, my thoughts become more active, which helps me solve the problems I face.