Pans
PhD Student in Computational Mathematics
School of Mathematical Sciences
University of Electronic Science and Technology of China (UESTC)
I am a PhD student specializing in computational mathematics, with a focus on boundary integral equation methods and mathematical analysis. My research lies at the intersection of applied mathematics and scientific computing, with applications in wave scattering and electromagnetic problems.
My current work involves developing and analyzing numerical methods for solving Helmholtz equations in layered media using boundary integral equation formulations, including Fourier/spectral representations of Green's functions.
Research Interests
- Boundary Integral Equation Methods
- Numerical Analysis & Scientific Computing
- Wave Scattering in Layered Media
- Spectral Methods & Fourier Analysis
- Differential Operators on Riemannian Manifolds
News
- [Dec 2025] Posted new notes on the Fourier representation of Green's functions for layered media.
- [Oct 2025] Working on boundary integral equation methods for three-layer Helmholtz problems.
- [Sep 2025] Added notes on generalized differential operators on Riemannian manifolds and asymptotic behavior of kernels.
Publications
* denotes equal contribution. Publications will be updated as research progresses.
Preprints
-
Boundary Integral Equation Methods for Helmholtz Equations in Layered MediaIn preparation, 2026.
Conference Presentations
- Conference presentations and invited talks will be listed here.
Notes
A collection of mathematical notes and research observations.
Contact
I am always open to research discussions and collaborations. Feel free to reach out by email.
| your.email@uestc.edu.cn | |
| Office | School of Mathematical Sciences, UESTC |
| Links | Google Scholar | GitHub | ORCID |