计算数学，动力系统数值计算

   

070102-计算数学

计算数学，随机动力系统数值算法

数值分析、 高等工程数学、 数学专业英语、 文献阅读课Ⅱ、 非参数统计

   

[1] Jingshi Li, Song Chen, Lijin Wang, Yanzhao Cao. A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty. Commun. Comput. Phys.[J]. 2022, [2] Ruan, Jialin, Wang, Lijin, Wang, Pengjun. Exponential discrete gradient schemes for a class of stochastic differential equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS[J]. 2022, 402: [3] Yuchao Wang, 王丽瑾, Yanzhao Cao. STRUCTURE-PRESERVING NUMERICAL METHODS FOR A CLASS OF STOCHASTIC POISSON SYSTEMS. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING[J]. 2022, [4] 王丽瑾, Pengjun Wang, Yanzhao Cao. NUMERICAL METHODS PRESERVING MULTIPLE HAMILTONIANS FOR STOCHASTIC POISSON SYSTEMS. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S[J]. 2021, [5] Hong, Jialin, Ruan, Jialin, Sun, Liying, Wang, Lijin. Structure-Preserving Numerical Methods for Stochastic Poisson Systems. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2021, 29(3): 802-830, https://www.webofscience.com/wos/woscc/full-record/WOS:000614555300006.
[6] Pengjun Wang, lijin wang. Stochastic Poisson integrators based on Padé approximations for linear stochastic Poisson systems. Journal of University of Chinese Academy of Sciences[J]. 2021, [7] Wang, Lijin, Cao, Yanzhao, Lam, SauHai. Explicit Integration of Stiff Stochastic Differential Equations via an Efficient Implementation of Stochastic Computational Singular Perturbation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS[J]. 2019, 25(5): 1523-1546, https://www.webofscience.com/wos/woscc/full-record/WOS:000455964200010.
[8] 阮家麟, 王丽瑾. 一类高振荡随机哈密顿系统的李代数方法. 中国科学院大学学报. 2019, 36(1): 5-10, http://lib.cqvip.com/Qikan/Article/Detail?id=6100179302.
[9] Jialin Ruan, Lijin Wang. Exponential Discrete Gradient Schemes for Simulating Stochastic Hamiltonian Systems Preserving Hamiltonian Functions. Proceedings of International Conference on Modeling, Simulation and Optimization[J]. 2018, [10] Sun Liying, Wang Lijin. Stochastic symplectic methods based on the Padé approximations for linear stochastic Hamiltonian systems. Journal of Computational and Applied Mathematics[J]. 2017, [11] Wang, Lijin, Han, Xiaoying, Cao, Yanzhao, Najm, Habib N. Computational singular perturbation analysis of stochastic chemical systems with stiffness. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2017, 335: 404-425, http://dx.doi.org/10.1016/j.jcp.2017.01.040.
[12] Wang, Lijin, Hong, Jialin, Sun, Liying. Modified equations for weakly convergent stochastic symplectic schemes via their generating functions. BIT NUMERICAL MATHEMATICSnull. 2016, 56(3): 1131-1162, https://www.webofscience.com/wos/woscc/full-record/WOS:000382137200015.
[13] Sun Liying, Wang Lijin. Full implicit schemes for stochastic differential equations with one noise. Journal of University of Chinese Academy of Sciences[J]. 2016, 33(3): 306-310, [14] []. 随机辛算法的生成函数. Discrete and continuous dynamical systems. 2014, [15] []. 随机非线性薛定谔方程的随机多辛积分子. Commun. Comput. Phys.. 2013, [16] []. 随机辛积分子的第三类生成函数. AIP Conference Proceedings. 2012, [17] []. 由随机变分积分子构造的一个线性随机振子的新的辛方法. AIP Conference Proceedings. 2012, [18] []. 随机KdV方程的随机多辛积分子. AIP Conference Proceedings. 2012, [19] 王丽瑾. 一个带可加噪声线性系统的随机辛逼近. IAENG International Journal of Applied Mathematics. 2012, [20] []. 用生成函数构造一个线性随机振子的辛数值积分. Proceedings of 2011 4th IEEE International Conference on Computer Science and Infromation Technology. 2011, [21] []. 一个带两个可加噪声的线性随机振子的辛数值方法. Proceedings of the World Congress on Engineering 2011, Vol.I, WCE 2011, July6-8,2011,London,U.K.. 2011, [22] []. 由生成函数模拟随机哈密顿系统. Proceedings of 2011 4th IEEE International Conference on Computer Science and Information Technology. 2011, [23] []. 一个带可乘噪声的线性随机振子的辛积分子. Proceedings of the 2011 3rd International Conference on Future Computer and Communication. 2011, [24] []. 随机控制问题的状态方程法. Numerical Mathematics: Theory, Methods and Applications. 2010, [25] []. 随机哈密顿系统的动力学和变分积分子. International Journal of Numerical Analysis and Modeling. 2009, [26] 王丽瑾. 一个周期最优控制问题的数值方法. Proceedings of the 2009 International Conference on Automation, Robotics and Control Systems. 2009, [27] []. 一个可加噪声线性随机振子的预估-矫正方法. Mathematical and Computer Modelling. 2007, [28] []. 四种不同Gauss-Chebyshev 求积公式间的转换. International Journal of Pure and Applied Mathematics. 2006, [29] []. 一个线性可加噪声随机振子的中点法. Neural,Parallel and Scientific Computations. 2006, [30] []. 时间依赖薛定谔方程显辛格式的最优化. Computers and Mathematics with Applications. 2005, [31] Wang, Lijin. Effective Computation of Stochastic Protein Kinetic Equation by Reducing Stiffness via Variable Transformation. http://arxiv.org/abs/1411.3452.

• Lijin Wang, Effective Computation of Stochastic Protein Kinetic Equation by Reducing Stiffness via Variable Transformation, submitted to Applied Mathematics and Computation, May 5th. 2014.[pdf]
• Shanshan Jiang, Lijin Wang and Jialin Hong，Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schr ¨odinger Equation，Commun. Comput. Phys.，Vol. 14, No. 2, pp. 393-411，2013.
• Jingjing Zhang and Lijin Wang，A new symplectic method for a linear stochastic oscillator via stochastic variational integrators，AIP Conf. Proc. 1479, 1772-1775 (2012);
• Shanshan Jiang, Lijin Wang, and Jialin Hong，Stochastic multisymplectic integrator for stochastic KdV equation， AIP Conf. Proc. 1479, 1757-1760 (2012);
• L.Wang, J.Hong, R.Scherer, Symplectic Numerical Methods for a  Linear Stochastic Oscillator with Two Additive Noises, Proc. of the  World Congress on Engineering 2011, WCE 2011, London, U.K., Vol. I, (2011), pp.19-23.
• J.Hong, L.Wang, R.Scherer, Simulation of Stochastic Hamiltonian Systems via Generating Functions, Proc. of 2011 4th IEEE Intern.  Conf. on Computer Science and Information Technology, ICCSIT  2011, Vol.8, (2011), pp. 523-528.
• L.Wang, F.Bai, The State Equations Methods for Stochastic Control Problems, Numer. Math. Theor. Meth. Appl. Vol. 3, No. 1, (2010), 79-96.
• L.Wang, J.Hong, R.Scherer, F.Bai, Dynamics and Variational Integrators of Stochastic Hamiltonian Systems, International Journal of Numerical Analysis And Modeling, Vol. 6, No. 4 (2009), 586-602.
• L.Wang, F.Bai, Numerical Methods for a Periodic Optimal Control Problem, Proceedings of the 2009 International Conference on Automation, Robotics and Control Systems, (2009), 160-167.
• J.Hong, R.Scherer, L.Wang, Predictor-Corrector Methods for a Linear Stochastic Oscillator with Additive Noise, Mathematical and Computer Modeling, 46 (2007), 738-764.
• L.Wang, Variational Integrators and Generating Functions for Stochastic Hamiltonian Systems, Universitätsverlag Karlsruhe, 2007.
• L.Wang, R.Scherer, Transforms between the four Different Gauss-Chebyshev Quadrature Formulae, International Journal of Pure and Applied Mathematics, 28 (2006), 565-583.
• J.Hong, R.Scherer, L.Wang, Midpoint Rule for a Linear Stochastic Oscillator with Additive Noise, Neural Parallel and Scientific Computing,14 (2006), 1-12.
• X.Liu, P.Ding, J.Hong, L.Wang, Optimization of Explicit Symplectic Schemes for Time-Dependent Schroedinger Equations, Computers and Mathematics with Applications, 50 (2005), 637-644. 

   

（1） 国家自然科学基金面上项目，主持，2011-01--2013-12
（2） 中国博士后科学基金项目，主持，2008-08--2009-09

（1）微分方程保结构算法学术研讨会，中科院数学与系统科学研究院，北京，2011年8月26日，with contributed talk
（2）World Congress on Engineering 2011 (WCE2011), London U.K., July 6-8 , 2011, with contributed paper 
（3）2011 International Conference on Future Computer and Communication (ICFCC2011), Iasi, Romania, June 3-5, 2011, with contributed paper and talk 
（4）2011 International Conference on Computer Science and Information Technology(ICCSIT2011), Chengdu China, June 10-12, 2011, with contributed paper and talk
（5）2009 International Conference on Automation, Robotics and Control Systems (ARCS-09), Orlando, FL, USA, July13-16, 2009, with contributed paper
（6）多尺度与随机模拟算法研讨会，北京国际数学研究中心，北京大学，2009年7月4-5日，with contributed talk
（7）2009 International Conference on Scientific Computation and Differential Equations (SciCADE09) , Beijing China, May 25-29, 2009, with contributed abstract and talk 
（8）数学物理前沿问题研讨会，中国高等科学技术中心，北京，2008年10月，with contributed talk

   

（1）July 1-31, 2010: visit the Institute for Applied and Numerical Mathematics of the Karlsruhe Institute of Technology (KIT) in Germany 
（2）May 2005:   访问吉林大学原子与分子物理研究所
（3）Sep. 2005: 访问山东工商学院数学与信息科学学院

2000-2003：德国 Karlsruhe 工业大学 （Universitaet Karlsruhe）数学系 理学硕士
2004-2007：中科院数学与系统科学研究院、德国Karlsruhe工业大学数学系 理学博士
2007-2009：清华大学数学系 博士后
2009-今： 中国科学院大学 数学科学学院 教师

德国学术交流中心（DAAD）奖：杰出外国留学生 （hervorragende auslaendische Studierende），2003
德国Karlsruhe工业大学数学系：国际项目贡献奖， 2003