个人简介
谭建国,男,1981年出生,博士,副教授,硕士生导师。主要研究方向为计算数学、随机微分方程数值解、随机动力学、随机生物系统及其优化控制。电子邮箱为tanjg@tju.edu.cn
教育背景:
2007/09―2010/06 | 天津大学 | 力学系 | 博士研究生 |
2005/09―2007/06 | 天津大学 | 数学系 | 硕士研究生 |
2001/09―2005/06 | 信阳师范学院 | 数学系 | 本科生 |
工作经历:
2015/12—现在 天津工业大学 理学院应用数学系 副教授
2010/07―2015/12 天津工业大学 理学院应用数学系 讲师
主要承担项目
目前主持完成国家天元基金1项,主持在研国家自然科学青年基金1项和天津市自然科学青年基金1项,并参与了国家自然科学基金3项。
1. 主持在研国家自然科学基金青年基金一项:带跳的非线性随机微分方程数值解及其在Lotka-Volterra模型中应用研究,资助号: 11501410, 2016.01-2018.12, 资助额:21.3万
2. 主持在研天津市自然科学基金青年基金一项:带泊松跳的随机时滞系统的稳定性与反馈控制理论及其在神经网路中的应用,资助号: 17JCQNJC03800, 2017.04-2020.03, 资助额:6万
3. 主持完成国家自然科学基金天元基金项目一项:带跳的中立型随机泛函微分方程的研究, 资助号: 11226321, 2013.01-2013.12, 资助额:3万。
4. 参与完成国家自然科学基金青年项目,11102132、随机动力系统的信息熵及在随机共振中的应用、2012/01-2014/12、25万
5. 参与在研国家自然科学基金面上项目,11471243、农作物害虫综合优化治理的数学建模与应用、2015.01-2018.12、70万
6. 参与在研国家自然科学基金面上项目,11672207、基于信息熵理论的典型随机系统动力学行为的研究与应用、2017.01-2020.12、52万
主要论文著作:
[1] Jianguo Tan*, Hua Yang, Weiwei Men, Yonfeng Guo, Construction of positivity preserving numerical method for jump–diffusion option pricing models, Journal of Computational and Applied Mathematics, 320: 96-100, 2017.(SCI 二区)
[2]Jianguo Tan*, Weiwei. Men, Yongzhen Pei, Yonfeng Guo, Construction of positivity preserving numerical method for stochastic age-dependent population equations, Applied Mathematics and Computation, 293: 57-64, 2017.(SCI 二区)
[3]Jianguo Tan*, A. Rathinasamy, Yongzhen Pei, Convergence of the split-step θ-method for stochastic age-dependent population equations with Poisson jumps, Applied Mathematics and Computation, 254 : 305-317, 2015. (SCI 二区)
[4] Jianguo Tan*, Hongli Wang, YongfengGuo, Strong convergence of the split-step θ-method forstochastic age-dependent population equations,Mathematical Methods in the Applied Sciences,38 :2291-2304,2015(SCI 三区)
[5]Jianguo Tan*, Zhiming Mu,YongfengGuo, Convergence and stability of the compensated split-step θ-method for stochastic differential equations with jumps, Advances in Di?erence Equations , 2014, 2014:209.(SCI 三区)
[6] Jianguo Tan*, Hongli Wang,Yongfeng Guo, Zhiwen Zhu, Numerical Solutions to Neutral Stochastic Delay Differential Equations with Poisson Jumps under Local Lipschitz Condition,Mathematical Problems in Engineering, 2014: 1-11, 2014.(SCI 四区)
[7] Jianguo Tan*, A.Rathinasamy, Hongli Wang,Yongfeng Guo, Strong Convergence of the Split-Step ?-Method for Stochastic Age-Dependent Capital System with Random Jump Magnitudes, Abstract and Applied Analysis, 2014: 1-14, 2014.(SCI二区)
[8] Jianguo Tan*, Hongli Wang,Yongfeng Guo, Existence and Uniqueness of Solutions to Neutral Stochastic Functional Differential Equations with Poisson Jumps, Abstract and Applied Analysis, 2012: 1-20, 2012.(SCI二区)
[9]Jianguo Tan*, Hongli Wang,Mean square stability of the Euler-Maruyama method for stochastic differential delay equations with jumps, International Journal of Computer Mathematics, 88(2): 421-429, 2011.(SCI三区)
[10] Jianguo Tan*, Hongli Wang, Convergence and stability of the split-step backward Euler method for linear stochastic delay integro-differential equations, Mathematics and Computer Modelling, 51(5-6): 504-515, 2010. (SCI二区)
[11]Jianguo Tan*, Hongli Wang, Minyue Yang, Numerical simulation of Verhulst-type kinetics with Poisson white noise, IEEE The 16th International Conference On Industrial Engineering and Engineering Management, 1774-1778. Beijing, 2009, 10.21-23(EI)
[12] 谭建国*,王洪礼,泊松白噪声激励的动力系统的数值模拟,机械强度,33(4):518-521, 2011.
[13] 谭建国*,王洪礼,葛根,许佳,二元机翼模型在随机参数激励下的首次穿越问题,天津大学学报, 42(7):581-585,2009.(EI)
[14] 谭建国,高校高等数学教学方法创新思考,课程教育研究, 28, 129-130,2013
[15]Yongfeng Guo,YajunShen, Jianguo Tan, Stochastic resonance in a piecewise nonlinear model driven by multiplicative non-Gaussian noise and additive white noise, Communications in Nonlinear Science and Numerical Simulation 38 (2016), 257-266.(SCI)
[16] Yongfeng Guo,Bei Xi, YajunShen, Jianguo Tan, Mean first-passage time of second-order and under-damped asymmetric bistable model, Applied Mathematical Modelling, 40 (2016) 9445-9453.(SCI)
[17]Yongfeng Guo, Jianguo Tan, Effects of Gaussian colored noise on time evolution of information entropy in a damped harmonic oscillator, Physica A: Statistical Mechanics and its Applications, 419 (2015) 691-697.(SCI)
[18] Yongfeng Guo,YajunShen, Jianguo Tan, Effects of colored noise and external periodic force on the time derivative of information entropy for a damped harmonic oscillator,Applied Mathematics and Computation, 252 (2015) 20-26.(SCI)
[19]Guo Yongfeng, Tan Jianguo,Effects of Non-Gaussian Noise on the Upper Boundof the Time Derivative of Entropy in a Stochastic Dissipative Dynamical System,Chinese Journal of Physics, 2014, 52(5):1539-1548(SCI)
[20]Yongfeng Guo, Jianguo Tan, Suprathreshold stochastic resonance in multilevel threshold system driven by multiplicative and additive noises, Communications in Nonlinear Science and Numerical Simulation, 18 (2013) 2852-2858.(SCI)
专著
张影,李胜朋,谭建国,王洪礼,《预测与评价》,天津,天津大学出版社,2015
成果及荣誉
指导本科生获得全国大学生数学建模全国一等奖1项,二等奖一项; 美国数学建模二等奖2项