姓名：谢莹莹 职称：讲师 学历： 博士研究生
专业：计算数学 邮箱：xieyy@swufe.edu.cn
办公地址：通博楼212
教育背景
2019.09-2024.06 西安交通大学 博士
2016.09-2019.06 四川师范大学 硕士
2012.09-2016.06 四川师范大学 学士
研究方向
偏微分方程的数值解研究
非线性薛定谔方程的爆破解研究
高阶非线性偏微分方程的精确解研究
访问经历
2022.11-2023.11 新加坡南洋理工大学 博士联合培养
代表性论文
1. Yingying Xie, Qi Li, Liquan Mei, An unconditionally energy stable method for the anisotropic phase-field crystal model in two dimension, Journal of Scientific Computing, 100: 12, 2024.
2. Yingying Xie, Qi Li, Liquan Mei, A new Lagrange multiplier method for the mass conserved Allen-Cahn type square phase-field crystal model, Applied Mathematics Letters, 141: 108612, 2023.
3. Yingying Xie, Lingfei Li, Jingyu Wu, Yaoping Wang, Liquan Mei, Non-compatible partially PT symmetric Davey-Stewartson system: rational solution in constant wave background, Nonlinear Dynamics, 111(19): 18345–18361, 2023.
4. Yingying Xie, Daopeng Yin, Liquan Mei, Finite difference scheme on graded meshes to the time-fractional neutron diffusion equation with non-smooth solutions, Applied Mathematics and Computation, 435: 127474, 2022.
5. Yingying Xie, Yongsheng Yan, Lingfei Li, Rational solutions and rogue waves of the generalized (2+1)-dimensional Kadomtsev-Petviashvili equation, Chinese Journal of Physics, 77: 2047–2059, 2022.
6. Yingying Xie, Lingfei Li, Multiple-order breathers for a generalized (3+1)-dimensional Kadomtsev-Petviashvili Benjamin-Bona-Mahony equation near the offshore structure, Mathematics and Computers in Simulation, 193: 19–31, 2022.
7. Yingying Xie, Jian Su, Liquan Mei. Blowup results and concentration in focusing Schrodinger-Hartree equation. Discrete and Continuous Dynamical Systems, 40(8):5001-5017, 2020.
8. Yingying Xie, Zhaoyu Yang, Lingfei Li. New exact solutions to the high dispersive cubic-quintic nonlinear Schrodinger equation. Physics Letters A, 382(36):2506–2514, 2018.
9. Yingying Xie, Lingfei Li, Shihui Zhu. Dynamical behaviors of blowup solutions in trapped quantum gases: Concentration phenomenon. Journal of Mathematical Analysis and Applications, 468(1):169–181, 2018.
10.Yingying Xie, Liquan Mei, Shihui Zhu, Lingfei Li. Sufficient conditions of collapse for dipolar Bose–Einstein condensate. ZAMM- Zeitschrift fur Angewandte Mathematik und Mechanik, 99(9), 2019.
主持项目
2020.02-2021.12: 西安交通大学基本科研业务费自由探索与创新-学生类, 项目编号: xzy022020048, 负责人: 谢莹莹.
