个人简介
李昊辰,理学博士、北京大学数学系博士后,现任公司数学系讲师。
研究方向
哈密尔顿系统保结构算法;天气预报大数据
科研成果
对薛定谔方程、Klein-Gordon方程、KP方程等系统的多辛格式和保能量格式的构造,以及平均向量场方法的B级数展开和其高阶方法的构造等进行研究。
1、Haochen Li, Jianqiang Sun, A new multi-Symplectic scheme for the generalized Kadomtsev-Petviashvili equation, Computer Physics Communications, 183 (2012) 1956-1965.
2、Haochen Li, Jianqiang Sun, A new multi-Symplectic Euler box scheme for the BBM equation, Mathematical and Computer Modelling, 58 (2013) 1489-1501.
3、Haochen Li, Jianqiang Sun, Mengzhao Qin, New explicit multi-Symplectic scheme for nonlinear wave equation, Applied Mathematics and Mechanics, 35 (2014) 369-380.
4、Haochen Li, Jianqiang Sun, Mengzhao Qin, Multi-Symplectic method for the Zakharov-Kuznetsov equation, Advances in Applied Mathematics and Mechanics, 7 (2015) 58-73.
5、Haochen Li, Yushun Wang, Qin Sheng, An energy-preserving Crank-Nicolson Galerkin method for Hamiltonian partial differential equations, Numerical Methods for Partial Differential Equations, 32 (2016) 1485-1504.
6、Haochen Li, Yushun Wang, Mengzhao Qin, A sixth order averaged vector field method, Journal of Computational Mathematics, 34 (2016) 479-498.
7、Haochen Li, Yushun Wang, A discrete line integral method of order two for the Lorentz force system, Applied Mathematics and Computation, 291 (2016) 207-212.
8、Haochen Li, Yushun Wang, An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation, International Journal of Computer Mathematics, 94 (2017) 1196-1218.
9、Haochen Li, Chaolong Jiang, Zhongquan Lv, A Galerkin energy-preserving method for two dimensional nonlinear Schrödinger equation, Applied Mathematics and Computation, 324 (2018) 16-27.
10、Haochen Li, Zhenguo Mu, Yushun Wang, An energy-preserving Crank-Nicolson Galerkin spectral element method for the two dimensional nonlinear Schrödinger equation, Journal of Computational and Applied Mathematics, 344 (2018) 245-258.
科研项目
1、参加“科技冬奥”重点专项,子任务“基于机器学习方法的赛场赛道气象要素概率和阈值预报技术研究和应用”。