教育背景：

博士，计算数学，南京大学，2009-2012

硕士，计算数学，南京大学，2007-2009

学士，数学与应用数学，河北科技大学，2001-2005

工作经历:

2012年—现在，澳门永利总站856数学与信息科学学院

2019年8月-2020年7月，新加坡国立大学数学系访问学者，合作导师：包维柱 教授

教学情况：

主讲本科生课程《高等数学》、《数值分析》等

主讲研究生课程《微分方程的数值解法》，《哈密顿系统的辛几何算法》，《工程数学》等

科研情况：

一、承担科研项目情况（按时间倒序排列）

7. 河北省自然科学基金面上项目(No.2021205036)，2021-2023，主持;

6. 河北省高等学校科学技术研究项目青年基金(No.QN2019053)，2019-2021，主持;

5. 澳门永利总站856杰出青年基金 (No.L2018J01)，2018-2020，主持（已结项）;

4. 国家自然科学基金青年基金(No.11401164)，2015-2017，主持（已结项）;

3. 河北省自然科学基金(No.A2014205136)，2014-2016，主持（已结项）;

2. 澳门永利总站856重点基金(No.L2013Z02)，2014-2015，主持（已结项）;

1. 澳门永利总站856博士基金(No.L2012B03)，2013-2015，主持（已结项）.

二．代表性论文（按时间倒序排列,*为通讯作者）

[33] Jiyong Li*, Optimal error estimate of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation, submitted

[32] Jiyong Li*, Liqing Zhu, An uniformly accurate exponential wave integrator Fourier pseudo-spectral method with structure-preservation for long-time dynamics of the Dirac equation with small potentials, submitted

[31] Xianfen Wang, Jiyong Li*, Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system, submitted

[30] Shuo Deng, Jiyong Li*, A uniformly accurate exponential wave integrator Fourier pseudo-spectral method with energy-preservation for long-time dynamics of the nonlinear Klein-Gordon equation, Applied Numerical Mathematics, accepted （SCI）

[29] Jiyong Li*, Error analysis of a time fourth-order exponential wave integrator Fourier pseudo-spectral method for the nonlinear Dirac equation，International Journal of Computer Mathematics, 99 (2022) 791-807 （SCI）

[28] Jiyong Li*, Energy-preserving exponential integrator Fourier pseudo-spectral schemes for the nonlinear Dirac equation, Applied Numerical Mathematics, 172 (2022) 1–26（SCI）

[27] Jiyong Li*, Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation, Mathematics and Computers in Simulation, 190 (2021) 691-713 （SCI）

[26] Jiyong Li*, Tingchun Wang, Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation, Computational and Applied Mathematics, 40 (2021) 114 （SCI）

[25] Jiyong Li*, Tingchun Wang, Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation, Applied Numerical Mathematics, 162 (2021) 150-170. （SCI）

[24] Jiyong Li, Extended multi-step Runge-Kutta-Nyström methods for oscillatory second-order systems, Journal of Computational and Applied Mathematics, submitted

[23] Yonglei Fang*, Xianfa Hu, Jiyong Li, Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first-order differential equations, Numerical Algorithms, 86 (2021) 1143-1163. （SCI）

[22] Jiyong Li*, Yachao Gao, Modified multi-step Nyström methods for oscillatory second-order initial value problems y''(t) = f(t,y(t),y'(t)), International Journal of Computer Mathematics,  98 (2021) 223-237.（SCI）

[21] Jiyong Li*, Xinyuan Wu, Energy-preserving continuous stage extended Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems，Applied Numerical Mathematics, 145 (2019) 469-487. （SCI）

[20] Jiyong Li*, Yachao Gao, Energy-preserving trigonometrically-fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems, Numerical Algorithms, 81 (2019) 1379-1401.（SCI）

[19] Jiyong Li*, Multi-step hybrid methods adapted to the numerical integration of oscillatory second-order systems, Journal of Applied Mathematics and Computing, 61 (2019) 155–184. （EI）

[18] Jiyong Li*, Shuo Deng, Xianfen Wang, Multi-step Nyström methods for general second-order initial value problems y''(t) =f(t,y'(t),y'(t)),  International Journal of Computer Mathematics, 6 (2019) 1254-1277.（SCI）

[17] Jiyong Li*,  Wei Shi, Xinyuan Wu, The existence of explicit symplectic ARKN methods with several stages and algebraic order greater than two， Journal of Computational and Applied Mathematics, 353 (2019) 204–209.（SCI）

[16] Jiyong Li*, Symplectic and symmetric trigonometrically-fitted ARKN methods,  Applied Numerical Mathematics, 135 (2019) 381-395. （SCI） 

[15] Jiyong Li*, Shuo Deng, Xianfen  Wang, Extended explicit pseudo two-step RKN methods for oscillatory systems y'' +My = f(y), Numerical Algorithms, 78 (2018) 673-700.（SCI）

[14] Jiyong Li*, Xianfen Wang,  Bin Wang, Trigonometrically-fitted symmetric two-step hybrid methods for oscillatory problems, Journal of Computational and Applied Mathematics, 344 (2018) 115-131. （SCI）

[13] Jiyong Li*, Trigonometrically fitted three-derivative Runge-Kutta methods for solving oscillatory initial value problems, Applied Mathematics and Computation, 330 (2018) 103-117. （SCI）

[12] Jiyong Li*, Trigonometrically-fitted multi-step hybrid methods for oscillatory special second-order initial value problems, International Journal of Computer Mathematics, 95  (2018) 979-997. （SCI）

[11] Jiyong Li*,  Xianfen  Wang,  Ming  Lu, A class of linear multi-step method adapted to general oscillatory second-order initial value problems, Journal of Applied Mathematics and Computing,  56 (2018) 561-591. （EI）

[10] Jiyong Li*, Shuo Deng， Trigonometrically fitted multi-step RKN methods for second-order oscillatory initial value problems，Applied Mathematics and Computation，320 (2018) 740–753. (SCI)

[9] Hao Zhang，Mingxue Shi，Jiyong Li，Bin Wang*, Diagonal implicit symmetric ERKN integrators for solving oscillatory reversible systems，International Journal of Applied and Computational Mathematics，3 (2017) 1229–1247.

[8] Jiyong Li*, Trigonometrically fitted multi-step Runge-Kutta methods for solving oscillatory initial value problems, Numerical Algorithms, 76 (2017) 237-258.（SCI）

[7] Jiyong Li*, Xianfen Wang, Multi-step Runge–Kutta–Nyström methods for special second-order initial value problems, Applied Numerical Mathematics, 113 (2017) 54–70. （SCI）

[6] Jiyong Li*, A family of improved Falkner-type methods for oscillatory systems, Applied Mathematics and Computation, 293 (2017) 345–357. （SCI）

[5] Jiyong Li*, Xianfen Wang, Multi-step hybrid methods for special second-order differential equations y''(t)=f (t,y(t)), Numerical Algorithms, 73 (2016)  711-733.（SCI）

[4] Jiyong Li, Xinyuan Wu*, Error analysis of explicit TSERKN methods for highly oscillatory systems, Numerical Algorithms  65 (2014) 465–483. （SCI）

[3] Jiyong Li, Xinyuan Wu*, Adapted Falkner-type methods solving oscillatory second- order differential equations, Numerical Algorithms, 62  (2013) 355–381. （SCI）

[2] Jiyong Li, Bin Wang, Xiong You, Xinyuan Wu*, Two-step extended RKN methods for oscillatory systems, Computer Physics Communications 182 (2011) 2486–2507.  （SCI）

[1] Xinyuan Wu*, Xiong You, Jiyong Li, Note on derivation of order conditions for ARKN methods for perturbed oscillators,  Computer Physics Communications 180 (2009)  1545–1549. （SCI）