Welcome to Xingri Geng's Homepage

Education

Work Experiences

Research Interests

• Partial Differential Equations and Their Applications
• Numerical Solutions for Partial Differential Equations
• AI for Science

Resume

• C.V.

Contact

• Office Address: #06-13, Blk S17, 10 Lower Kent Ridge Road, Singapore, 119076
• Email Address: E0321294@u.nus.edu
• Personal Blog: Gengxr's Blog
• GitHub: github.com/gengxingri

Talks

• Effective Boundary Conditions for the Fisher-KPP Equations, PhD Thesis Oral Defense Presentation, National University of Singapore, Singapore, Apr. 18, 2024. [Slides]
• Effective Boundary Conditions for 3-dimensional Optimally Aligned Coatings, 2023 Winter Conference on Partial Differential Equations, Nankai University, Tianjin, China, Dec. 1 - 3, 2023. [Slides]
• A Hamilton-Jacobi Approach for Asymptotic Propagation Shape of a Road-field Model, PDE and Scientific Computing Seminar, National University of Singapore, Singapore, Nov. 04, 2022. [Slides]
• Effective Boundary Conditions for the Heat Equation with Three-dimensional Anisotropic and Optimally Aligned Coatings, University of Iceland, Reykjavik, Iceland, Jul. 25 - 29, 2022. [Slides]
• The Method of Moving Planes and Sliding Domains, PDE and Scientific Computing Seminar, National University of Singapore, Singapore, Nov. 2, 2019. [Slides]

Publications

• (with Yang Li) Evolution Onsager Neural Networks for the Fisher-KPP equation with interface problem, in preparation.[pdf]
• (with Haomin Huang) Asymptotic spreading of competition diffusion systems with an effective boundary condition on a road, in preparation. [pdf]
• Fractional Laplacian boundary condition as a singular limit of problems degenerating at the boundary, preprint, 2024.[pdf]
• Lifespan of effective interface conditions for the logistic equation with 3-dimensional interior inclusion, preprint, 2024. [pdf]
• (with Yantao Wang)Effective interface conditions arising from wave equation, preprint, 2023.[pdf]
• Effective boundary conditions for heat equation arising from anisotropic and optimally aligned coatings in three dimensions, Advances in Differential Equations, 2025. [DOI] [pdf]
• Effective boundary conditions for the Fisher-KPP equation with 3-dimensional optimally aligned coatings, Journal of Mathematical Analysis and Applications, 2024. [DOI] [pdf]
• Effective boundary conditions arising from the heat equation with three-dimensional interior inclusion, Commum. Pure Appl. Anal. 2023. [DOI] [pdf]

Research Notes

• Topics on Green functions (lectured by Prof. Shih-Hsien Yu in 2019). [Note1, Note2]

Teaching Experience

Software