基本资料
张智勇，男，博士，信息与计算科学系教授，中国数学会计算机数学专业委员会委员
联系方式：zhiyong-2008@163.com
学习工作经历
2007/09——2010/07 中国科学院大学 数学科学学院 博士
2010/07——2012/07 中科院数学院 系统科学研究所 博士后
2012/07——2018/09 北方工业大学 理学院数学系， 讲师、副教授
2018/09——至今 中央民族大学 理学院 副教授、教授
教学与研究领域
机器学习：深度学习理论与算法及其应用；数据分析、统计建模及其应用；
符号计算：(分数阶)偏微分对称群与守恒律理论；
微分代数：微分特征列理论与算法、稀疏微分结式理论与算法。
每年招收学术硕士1-2名，应用统计专业硕士4名左右。
主要项目
1. 北京市自然科学基金面上项目, 2022.1-2024.12 (主持)；
2. 国家自然科学基金面上项目，2017.01-2020.12 (主持)；
3. 北京市自然科学基金预探索项目，2017.01-2018.06 (主持)；
4. 国家自然科学基金青年基金， 2014.01-2016.12 (主持)；
5. 国家自然科学青年基金，2012.01-2014.12 (参与)；
6. 国家自然科学基金面上项目，2012.01-2015.12 (参与)。
获得奖励
1. 2017年北京市第十届青教赛理工组（B）一等奖，最佳教案奖、最受学生欢迎奖、最佳演示奖；
2. 2017年北京市高校数学微课程教学设计竞赛一等奖；
3. 2019年北京市数学竞赛优秀指导教师。
出版教材教辅、专著
1.《线性代数及其应用》，科学出版社，2014年；
2.《高等数学练习册B》，清华大学出版社，2015年；
3.《计算机代数》，科学出版社，2020年。
发表的主要论文
1. Zhi-Yong Zhang, Jie-Ying Li, Lei-Lei Guo, Invariant deep neural networks under the finite group for solving partial differential equations, Journal of Computational Physics 523 (2025) 113680.
2. Ye Liu, Jie-Ying Li, Li-Sheng Zhang, Lei-Lei Guo, Zhi-Yong Zhang, Symmetry group based domain decomposition to enhance physics-informed neural networks for solving partial differential equations, Chaos, Solitons and Fractals 189 (2024) 115658.
3. Zhi-Yong Zhang, Sheng-Jie Cai，Hui Zhang, A symmetry group based supervised learning method for solving partial differential equations, Computer Methods in Applied Mechanics and Engineering. 414 (2023) 116181.
4. Zhi-Yong Zhang, Hui Zhang, Li-Sheng Zhang, Lei-Lei Guo, Enforcing continuous symmetries in physics-informed neural network for solving forward and inverse problems of partial differential equations，Journal of Computational Physics 492 (2023) 112415.
5. Zhi-Yong Zhang, Hui Zhang, Ye Liu, Jie-Ying Li, Generalized conditional symmetry enhanced physics-informed neural networks and application to the forward and inverse problems of nonlinear diffusion equations, Chaos, Solitons and Fractals 168 (2023) 113169.
6. Hui Zhang, Sheng-Jie Cai，Jie-Ying Li, Ye Liu, Zhi-Yong Zhang, Enforcing generalized conditional symmetry in physics-informed neural network for solving the KdV-like equation with Robin initial/boundary conditions, Nonlinear Dynamics, 108(2) (2023)1641-1653.
7. Hui-Min Zhu, Jia Zheng, Zhi-Yong Zhang, Approximate symmetry of time-fractional partial differential equations with a small parameter, Communications in Nonlinear Science and Numerical Simulation 125 (2023) 107404.
8. Jie-Ying Li; Hui Zhang; Ye Liu; Lei-Lei Guo; Li-Sheng Zhang, Zhi-Yong Zhang, Utilizing symmetry enhanced physics-informed neural network to obtain the solution beyond sampling domain for partial differential equations, Nonlinear Dynamics 111(23) (2023) 21861-21876.
9. Zhiyong Zhang, Zhi-Xiang Lin, Lei-Lei Guo，Variable-order fractional derivative under Hadamard's finite-part integral: Leibniz-type rule and its applications, Nonlinear Dynamics, 108(2) (2022)1641-1653.
10. Zhi-Yong Zhang, Cheng-Bao Liu, Leibniz-type rule of variable-order fractional derivative and application to build Lie symmetry framework, Applied Mathematics and Computation,430 (2022) 127268.
11. Zhi-Yong Zhang, Hui-Min Zhu, Jia Zheng, Lie symmetry analysis, power series solutions and conservation laws of the time-fractional breaking soliton equation, Waves in Random and Complex Media, 32(6) (2022) 3032-3052.
12. Hui-Min Zhu, Zhi-Yong Zhang, Jia Zheng, The time-fractional (2+1)- dimensional Hirota-Satsuma-Ito equations: Lie symmetries, power series solutions and conservation laws, Communications in Nonlinear Science and Numerical Simulation 115 (2022) 106724.
13. Zhiyong Zhang, Zhi-Xiang Lin, Local symmetry structure and potential symmetries of time-fractional partial differential equations, Studies in Applied Mathematics, 147(1) (2021) 363-389..
14. Zhiyong Zhang, Jia Zheng, Symmetry structure of multi-dimensional time-fractional partial differential equations, Nonlinearity, 34(8) (2021) 5186-5212.
15. Zhi-Yong Zhang, Lei-Lei Guo, An alternative technique for the symmetry reduction of time-fractional partial differential equation, Mathematical Methods in the Applied Sciences. 44(18) (2021) 14957-14962
16. Zhiyong Zhang, Guo-Fang Li, Invariant analysis and conservation laws of the time-fractional b-family peakon equations, Communications in Nonlinear Science and Numerical Simulation 103 (2021) 106010.
17. Chunming Yuan, Zhiyong Zhang, New bounds and efficient algorithm for sparse difference resultant, Journal of Symbolic Computation 107(2021) 279-298.
18. Zhiyong Zhang, Guo-Fang Li, Lie symmetry analysis and exact solutions of the time-fractional biological population model, Physica A: Statistical Mechanics and its Applications 540(2020) 123134.
19. Zhiyong Zhang, Guo-Fang Li, Symmetry properties of conservation laws for nonlinear Fokker-Planck equation describing cell population growth, Communications in Nonlinear Science and Numerical Simulation 93 (2020) 105506.
20. Zhiyong Zhang, Kai-Hua Ma, Li-Sheng Zhang, The generalized convective Cahn-Hilliard equation symmetry classification, power series solutions and dynamical behaviour，International Journal of Modern Physics C 31(2)(2020) 2050024.
21. Zhiyong Zhang, Symmetry determination and non-linearization of a nonlinear time-fractional partial differential equation, Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 476(2233) (2020) 20190564.
22. Zhi-Yong Zhang, Jia Zheng, Lei-Lei Guo, Hong-Feng Wu, Lie symmetries and conservation laws of the Fokker-Planck equation with power diffusion, Mathematical Methods in the Applied Sciences. 43(15) (2020) 8894-8905.
23. Zhiyong Zhang, An upper order bound of the invariant manifold in Lax pairs of a nonlinear evolution partial differential equation, Journal of Physics A: Mathematical and Theoretical (2019) 265202 (15pp)(SCI).
24. Zhiyong Zhang, Kai-Hua Ma, Interaction solutions between soliton and periodic wave for the foam-drainage equation, Mathematical Modelling of Natural Phenomena, 13(4) (2018) 1-7.
25. Li-Sheng Zhang, Nai-Yi Cui, Jin-Zhi Zhang, Zhi-Yong Zhang, Gang Hu, Self-sustained Oscillations in Excitable Tree Networks，International Journal of Modern Physics C 29(10) (2018) 1850102.
26. Zhiyong Zhang, Lei-Lei Guo, Ji-Zheng Huang, The four-dimensional Martınez Alonso-Shabat equation: Nonlinear self-adjointness and conservation laws, Mathematical Methods in the Applied Sciences. 40(1) (2017) 84-91.
27. Zhiyong Zhang, Kai-Hua Ma, Lie symmetries and conservation laws of the generalized foam-drainage equation, Zeitschrift für Naturforschung A. 72 (3) (2017) 261-268.
28. Zhiyong Zhang, Partial symmetry of initial value problems, Journal of Mathematical Analysis and Applications. 450 (1) (2017) 814-828.
29. Zhiyong Zhang, Conservation laws of partial differential equations symmetry, adjoint symmetry and nonlinear self-adjointness, Computer & Mathematics with Application, 74 (12) (2017) 3129-3140.
30. Zhiyong Zhang, Wanmin Zhang, Yufu Chen, A new method to find series solutions of a nonlinear wave equation, Applied Mathematics Letters 57 (2016) 20–24.
31. Zhiyong Zhang, Liang Xie, Adjoint symmetry and conservation law of nonlinear diffusion equations with convection and source terms, Nonlinear Analysis:Real world Applications 32 (2016) 301–313.
32. Zhiyong Zhang, Yufu Chen, Conservation laws of the generalized short pulse equation, Chinese physics B, Vol. 24, No. 2 (2015) 020201.
33. Zhiyong Zhang, Yufu Chen, Determination of approximate non-linear self-adjointness and approximate conservation law, IMA Journal of Applied Mathematics 80 (2015) 728–746.
34. Zhiyong Zhang, Yufu Chen, Group analysis and nonlinear self-adjointness for a generalized breaking soliton equation, Reports on Mathematical Physics 75 (2015) 85-100.
35. Zhiyong Zhang, On the existence of conservation law multiplier for partial differential equations, Communications in Nonlinear Science and Numerical Simulation 20 (2015) 338–351.
36. Ben Gao, Zhiyong Zhang, Yufu Chen, Type-II hidden symmetry and nonlinear self-adjointness of Boiti–Leon–Pempinelli equation, Communications in Nonlinear Science and Numerical Simulation, 19(1), 29–36, 2014.
37. Zhiyong Zhang, Chunming Yuan, Xiaoshan Gao, Matrix formulae of differential resultant for first-order generic ordinary algebraic differential polynomials. Computer Mathematics (2014) 479-503.
38. Zhiyong Zhang, Approximate nonlinear self-adjointness and approximate conservation laws, Journal of Physics A: Mathematical and Theoretical 46 (2013) 155203 (13pp).
39. Zhiyong Zhang, Xuelin Yong, Yufu Chen, Comparison of approximate symmetry and approximate homotopy symmetry to the Cahn–Hilliard equation, Journal of Computational and Applied Mathematics 237(1) (2013) 197–207.
40. Zhiyong Zhang, TemuerChaolu, Homotopy series solutions of perturbed PDEs via approximate symmetry method, Applied Mathematics and Computation 225 (2013) 92–101.
41. Zhiyong Zhang, Xuelin Yong, Yufu Chen, Classification and approximate solutions to perturbed diffusion–convection equations, Applied Mathematics and Computation, 219 (3) (2012)1120–1124.
42. Zhiyong Zhang, Ben Gao, Yufu Chen, Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations, Communications in Nonlinear Science and Numerical Simulation, 16(7) (2011) 2709–2719.
43. Xuelin Yong, Jianwei Gao, Zhiyong Zhang, Singularity analysis and explicit solutions of a new coupled nonlinear Schrödinger type equation, Communications in Nonlinear Science and Numerical Simulation, 16 (6) (2011) 2513–2518.
44. Zhiyong Zhang, Yufu Chen, A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equation, Nonlinear Analysis: Theory, Methods & Applications 74 (2011) 4300–4318.
45. Zhiyong Zhang, Yufu Chen, Classical and nonclassical symmetries analysis for initial value problems. Physics Letter A, 374 (9), 1117–1120, 2010
46. Xuelin Yong, Xin Zeng, Zhiyong Zhang, Yufu Chen, Symbolic computation of Jacobi elliptic function solutions to nonlinear differential-difference equations, Computer & Mathematics with Application, 57 (7), 1107–1114, 2009.
47. Zhiyong Zhang, Xuelin Yong, Yufu Chen, Conservation laws of a class of combined equations, Communications in Theoretical Physics, 51 (1), 35-38, 2009.
48. Zhiyong Zhang, Yufu Chen, Xuelin Yong, Classification and Approximate Solutions to a Class of Perturbed Nonlinear Wave Equations, Communications in Theoretical Physics, 52 (5) 769-772, 2009.
49. Zhiyong Zhang, Xuelin Yong, Yufu Chen, A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations, Chinese physics B, 18(7), 2629-2633, 2009.
50. Zhiyong Zhang, XuelinYong, Yufu Chen, Symmetry analysis for Whitham-Broer-Kaup Equations, Journal of Nonlinear Mathematical Physics, 15 (4), 383-397, 2008.
51. Xuelin Yong, Zhiyong Zhang, Yufu Chen, Bäcklund transformation, nonlinear superposition formula and solutions of the Calogero equation, Physics Letter A, 372, 6273–6279, 2008.
