Areas of Focus
- Numerical methods and analysis for nonlinear partial differential equations
- Highly oscillatory dispersive problem
- Computational quantum physics and chemistry
- Computational and applied mathematics in general
Work Experience
- 2023-Present Associate Professor, School of Mathematics, Hunan University
- 2018-2022 Assistant Professor, School of Mathematics, Hunan University
- 2017-2018 Academic Visitor, Department of Mathematics, National University of Singapore
- 2016-2018 Postdoctoral Fellow, Beijing Computational Science Research Center
Academic Background & Achievements
- 2012-2016 Ph.D. in Computational Mathematics, College of Mathematics and Computer Science, Hunan Normal University
- 2009-2012 M.S. in Computational Mathematics, College of Mathematics and Computer Science, Hunan Normal University
- 2005-2009 B.S. in Information and Computing Science, College of Mathematics and Computer Science, Hunan Normal University
Publications
- Nonmonotone local minimax methods for finding multiple saddle points, Wei Liu, Ziqing Xie, Wenfan Yi, 2024
- Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs, Wei Liu, Ziqing Xie, Wenfan Yi, 2023
- A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime, Yongyong Cai, Wenfan Yi, 2023
- Uniform error bounds of an exponential wave integrator for the long-time dynamics of the nonlinear Klein-Gordon equation, Yue Feng, Wenfan Yi, 2021
- Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs, Wei Liu, Ziqing Xie, Wenfan Yi, 2021
- Optimal error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system, Wenfan Yi, Yongyong Cai, 2020
- Long time error analysis of finite difference time domain methods for the nonlinear Klein-Gordon equation with weak nonlinearity, Weizhu Bao, Yue Feng, Wenfan Yi, 2019
- Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime, Wenfan Yi, Xinran Ruan, Chunmei Su, 2019
- Error estimates of finite difference time domain methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime, Yongyong Cai, Wenfan Yi, 2018
- Error estimates of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime, Chunmei Su, Wenfan Yi, 2018
- Ground states and energy asymptotics of the nonlinear Schrodinger equation with a general power nonlinearity, Xinran Ruan, Wenfan Yi, 2018
- An augmented singular transform and its partial Newton method for finding new solutions, Ziqing Xie, Wenfan Yi, Jianxin Zhou, 2015