Welcome to Xingri Geng's Homepage

Education:

08/2018 -- 04/2024	Ph.D. in Mathematics, National University of Singapore, Singapore (Supervisors: Prof. BAO Weizhu and Prof. WANG Xuefeng).
09/2014 -- 07/2018	B.Sc. in Mathematics, Southern University of Science and Technology , Shenzhen, China.

Work Experiences:

09/2023 -- present

Visiting Scholar at Chinese University of Hong Kong, Shenzhen, Shenzhen, China.

Research Interests:

Partial Differential Equations and Their Applications
Numerical Analysis
Neural Network for Partial Differential Equations

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 the Fisher-KPP equation with 3-dimensional optimally aligned coatings, submitted, 2023. [pdf]
Effective boundary conditions for heat equation arising from anisotropic and optimally aligned coatings in three dimensions, Advances in Differential Equations, 2023. [pdf]
Effective boundary conditions arising from the heat equation with three-dimensional interior inclusion, Commum. Pure Appl. Anal. 2022. [DOI] [pdf]

Research Notes:

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

Teaching Experience:

Spring 2021	TA, Ordinary Differential Equations.
Spring 2020	TA, Ordinary Differential Equations.
Spring 2019	TA, Math Clinic.
Fall 2018	TA, Linear Algebra and Mathematical Analysis.

Software:

Unless otherwise stated, the software provided on this web site is free. You can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software foundation. The program is distributed in in the hope that they will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose.

fisher-kpp-2d.m. nonlin-ebc-2d.m.