学习工作经历：

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 院士

2012年—现在，球友会

2009年9月-2012年6月，南京大学，计算数学，博士

2007年9月-2009年6月，南京大学，计算数学，硕士

2001年9月-2005年6月，河北科技大学，数学与应用数学，学士

教学情况：

本科生课程：《高等数学》、《数值分析》等

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》，《矩阵论与数值分析》等

获得基金资助情况（时间倒序）：

9. 石家庄市驻冀高校基础研究项目(2517902707A), 2025-2027, 主持

8. 河北省自然科学基金面上项目(No.2024205016)，2024-2026，主持;

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. 球友会杰出青年基金 (No.L2018J01)，2018-2020，主持;

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

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

2. 球友会重点基金(No.L2013Z02)，2014-2015，主持;

1. 球友会博士基金(No.L2012B03)，2013-2015，主持.

发表的主要论文情况（时间倒序）

[51]Yongyong Cai, Jiyong Li*, Improved error bounds of an energy-preservingexponential wave integrator for the long-time weakly nonlinear Klein-Gordonequation, IMA Journal of Numerical Analysis, DOI:10.1093/imanum/drag028

[50] Lina Wang, Bin Wang*, Jiyong Li,Explicit uniformly accurate integrators for the relativistic charged-particle dynamicsunder a strong magnetic field, Communications in ComputationalPhysics, to appear.

[49]JiyongLi, Bing Wang*, A new framework for the construction and analysis ofexponential wave integrators for the Zakharov system, IMAJournal of Numerical Analysis,DOI:10.1093/imanum/draf016.

[48] Lina Wang, Bin Wang*, Jiyong Li,Fourth-order uniformly accurate integrators with long time near conservationsfor the nonlinear Dirac equation in the nonrelativistic regime,  SIAM Multiscale Modeling and Simulation, 24(2026) 1-31.

[47] Jiyong Li, Bin Wang*, Time symmetricand asymptotic preserving exponential wave integrators for the quantum Zakharovsystem, Journal of Scientific Computing, 106 (2026) 15.

[46] Jiyong Li, Xi Zhu， Bin Wang*，A uniformlyaccurate exponential wave integrator method for the nonlinear Klein-Gordonequation with highly oscillatory potential，ESAIM: Mathematical Modelling andNumerical Analysis 59(2025) 815-839.

[45] Jiyong Li*， Uniform errorbounds of a nested Picard iterative integrator for the Klein-Gordon-Zakharovsystem in the subsonic limit regime, Advances inComputational Mathematics51 (2025) 38.

[44] Jiyong Li*, Uniform errorbounds of an energy-preserving exponential wave integrator Fourierpseudo-spectral method for the nonlinear Schrödinger equation with waveoperator and weak nonlinearity, Journal of Computational Mathematics,43 (2025) 280-314.

[43] Jiyong Li*，Ruoxuan Qin，Uniform error estimatesof an energy-preserving exponential wave integrator for the nonlinear Schrödingerequation with wave operator, Numerical Methods for Partial DifferentialEquations，41 （2025）e70029.

[42] Jiyong Li*, Minghui Yang,Uniform error bounds of an exponential wave integrator for theKlein-Gordon-Schrödinger system in the nonrelativistic and massless limitregime, Mathematics and Computers in Simulation, 233 (2025)237–258.

[41] Jiyong Li*, Improved errorbounds on a time splitting method for the nonlinear Schrödinger equation withwave operator, Numerical Methods for Partial Differential Equations,40 (2024) e23139.

[40] Jiyong Li*, Improved errorestimates of the time-splitting methods for the long‐time dynamics of theKlein-Gordon-Dirac system with the small coupling constant, NumericalMethods for Partial Differential Equations, 40 (2024) e23084.

[39] Jiyong Li*, Xianfen Wang,Qianyu Chen, Shuo Deng, Improved uniform error bounds of a Lawson-typeexponential wave integrator method for the Klein-Gordon-Dirac equation, AppliedMathematics and Computation, 479 (2024) 128877.

[38] Jiyong Li*, Qianyu Chen,Improved uniform error bounds on an exponential wave integrator method for thenonlinear Schrödinger equation with wave operator and weak nonlinearity, AppliedNumerical Mathematics, 201 (2024) 488-513.

[37] Jiyong Li*, Explicit andstructure-preserving exponential wave integrator Fourier pseudo-spectralmethods for the Dirac equation in the simultaneously massless andnonrelativistic regime, Calcolo, 61 (2024) 3.

[36] Jiyong Li*, Improved uniformerror bounds of an exponential wave integrator method for theKlein-Gordon-Schrödinger equation with the small coupling constant, Communicationsin Mathematical Sciences, 22（2024）583-612.

[35] Jiyong Li*, Lu Zhao, Analysis of two conservativefourth-order compact finite difference schemes for the Klein-Gordon-Zakharovsystem in the subsonic limit regime, Applied Mathematics and Computation,460 (2024) 128288.

[34] Jiyong Li*, Uniformly accuratenested Picard iterative schemes for nonlinear Schrödinger equation with highlyoscillatory potential, Applied Numerical Mathematics, 192 (2023)132–151.

[33] Jiyong Li*, Xiaoqian Jin,Structure-preserving exponential wave integrator methods and the long-timeconvergence analysis for the Klein-Gordon-Dirac equation with the smallcoupling constant, Numerical Methods for Partial Differential Equations,39 (2023) 3375–3416.

[32] Jiyong Li*, Optimal error estimates of atime-splitting Fourier pseudo-spectral scheme for the Klein–Gordon–Diracequation, Mathematics and Computers in Simulation, 208 (2023)398–423.

[31] Jiyong Li*, Hongyu Fang, Improved uniform errorbounds of a time-splitting Fourier pseudo-spectral scheme for theKlein–Gordon–Schrödinger equation with the small coupling constant, Mathematicsand Computers in Simulation, 212 (2023) 267–288.

[30] Jiyong Li*, Liqing Zhu, Auniformly accurate exponential wave integrator Fourier pseudo-spectral methodwith structure-preservation for long-time dynamics of the Dirac equation withsmall potentials, Numerical Algorithms, 92 (2023) 1367–1401.  

[29] Xianfen Wang, Jiyong Li*,Convergence analysis of two conservative finite difference fourierpseudo-spectral schemes for klein-Gordon-Dirac system, AppliedMathematics and Computation, 439 (2023) 127634.

[28] Shuo Deng, Jiyong Li*, Auniformly accurate exponential wave integrator Fourier pseudo-spectral methodwith energy-preservation for long-time dynamics of the nonlinear Klein-Gordonequation, Applied Numerical Mathematics, 178 (2022) 166-191.  

[27] Jiyong Li*, Error analysis ofa time fourth-order exponential wave integrator Fourier pseudo-spectral methodfor the nonlinear Dirac equation，International Journal of ComputerMathematics,   99（2022）791-807.

[26] Jiyong Li*, Energy-preservingexponential integrator Fourier pseudo-spectral schemes for the nonlinear Diracequation, Applied Numerical Mathematics, 172 (2022) 1-26.

[25] Jiyong Li*, Yachao Gao,Modified multi-step Nyström methods for oscillatory general second-orderinitial value problems, International Journal of Computer Mathematics,98 (2021) 223-237.

[24] Jiyong Li*, Convergenceanalysis of a symmetric exponential integrator Fourier pseudo-spectral schemefor the Klein-Gordon-Dirac equation, Mathematics and Computers inSimulation, 190 (2021) 691-713.

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

[22] Jiyong Li*, Tingchun Wang,Optimal point-wise error estimate of two conservative fourth-order compactfinite difference schemes for the nonlinear Dirac equation, AppliedNumerical Mathematics, 162 (2021) 150-170.

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

[20] Jiyong Li*, Multi-step hybridmethods adapted to the numerical integration of oscillatory second-ordersystems, Journal of Applied Mathematics and Computing, 61 (2019)155–184.

[19] Jiyong Li*, Shuo Deng, XianfenWang, Multi-step Nyström methods for general second-order initial valueproblems y’’(t) = f (t, y(t), y’(t)), International Journal of ComputerMathematics, 96 (2019) 1254–1277.

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

[17] Jiyong Li*, Yachao Gao,Energy-preserving trigonometrically-fitted continuous stage Runge-Kutta-Nyströmmethods for oscillatory Hamiltonian systems, NumericalAlgorithms, 81 (2019) 1379-1401.

[16] Jiyong Li*, Wei Shi, XinyuanWu, The existence of explicit symplectic ARKN methods with several stages andalgebraic order greater than two, Journal of Computational and AppliedMathematics, 353 (2019) 204-209.

[15] Jiyong Li*, Symplectic andsymmetric trigonometrically-fitted ARKN methods,  Applied Numerical Mathematics,135 (2019) 381-395.

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

[13] Jiyong Li*, Ming Lu, Xuli Qi,Trigonometrically-fitted multi-step hybrid methods for oscillatory specialsecond-order initial value problems, International Journal of ComputerMathematics, 95 (2018) 979-997.

[12] Jiyong Li*, Xianfen Wang, ShuoDeng, Bin Wang, Symmetric trigonometrically-fitted two-step hybrid methods foroscillatory problems, Journal of Computational and Applied Mathematics,344 (2018) 115-131.

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

[10] Jiyong  Li*, Trigonometrically fittedthree-derivative Runge-Kutta methods for solving oscillatory initial valueproblems, Applied Mathematics and Computation, 330 (2018)103-117.

[9] Jiyong Li*, Shuo Deng,Xianfen  Wang, Extended explicit pseudotwo-step RKN methods for oscillatory systems y'' +My = f(y), NumericalAlgorithms, 78 (2018) 673-700.

[8] Jiyong Li*, Trigonometricallyfitted multi-step Runge-Kutta methods for solving oscillatory initial valueproblems, Numerical Algorithms, 76 (2017) 237–258.

[7] JiyongLi*, XianfenWang, Multi-stepRunge–Kutta–Nyström methods for special second-order initial value problems, AppliedNumerical Mathematics, 113 (2017) 54-70.

[6] Jiyong Li*, A family ofimproved Falkner-type methods for oscillatory systems, AppliedMathematics and Computation, 293 (2017) 345-357.

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

[4] Jiyong Li, Xinyuan Wu*, Erroranalysis of explicit TSERKN methods for highly oscillatory systems, NumericalAlgorithms, 65 (2014) 465-483.

[3] Jiyong Li, Xinyuan Wu*, AdaptedFalkner-type methods solving oscillatory second-order differential equations, NumericalAlgorithms, 62  (2013) 355-381.

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

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