谭建国, 男,1981年生,博士,副教授,硕士生导师。主要研究方向:随机生态动力学,金融数学及其计算,随机神经网络稳定性及其计算,随机微分方程数值解。Email: tanjg@tju.edu.cn。
教育经历:
2007/09-2010/07,天津大学, 力学系, 博士
2005/09-2007/07,天津大学, 数学系, 硕士
2001/09-2005/07,信阳师范学院,数学系, 学士
工作经历:
2010/7-2014/12,天津工业大学,数学系,讲师
2015/01-2018/10,天津工业大学,理学院,副教授
2018/10-至今,天津工业大学,数学科学学院,副教授
主持或参加科研项目及人才计划项目情况:
1. 主持完成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. 主持完成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、资助额:25万
5. 参与完成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、资助额:70万
6. 参与完成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、资助额:52万
科研论文
[1] Jianguo Tan*, P. Mayavel, A. Rathinasamy, HongLei Cao, A new convergence and positivity analysis of balanced Euler method for stochastic age‐dependent population equations, Numerical Methods for Partial Differential Equations, 2021, 37(2): 1752-1765.
[2] Jianguo Tan*, Yang Chen, Weiwei Men, Yonfeng Guo, Positivity and convergence of the balanced implicit method for the nonlinear jump-extended CIR model, Mathematics and Computers in Simulation, 2021, 182: 195–210.
[3] Jianguo Tan*, Yahua Tan, Yongfeng Guo, Jianfeng Feng, Almost sure exponential stability of numerical solutions for stochastic delay Hopfield neural networks with jumps, Physica A: Statistical Mechanics and its Applications, 545 (2020) 123782.
[4] 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 (2017) 96-100.
[5] 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 (2017) 57-64.
[6] Jianguo Tan*, Weiwei. Men, Convergence of the compensated split-step theta-method for nonlinear jump-diffusion systems, Advances in Difference Equations, (2017) 2017:189.
[7] 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, 2015, 254 : 305-317.
[8] Jianguo Tan*, Hongli Wang,Yongfeng Guo, Strong convergence of the split-step θ-method for stochastic age-dependent population equation,Mathematical Methods in the Applied Sciences,2015, 38(11): 2291-2304.
[9] Jianguo Tan*, Zhiming Mu,Yongfeng Guo, Convergence and stability of the compensated split-step θ-method for stochastic differential equations with jumps, Advances in Difference Equations, 2014:1-19, 2014.
[10]Jianguo Tan*, Hongli Wang,Mean square stability of the Euler-Maruyama method for stochastic differential delay equations with jumps,International Journal of Computer Mathematics, 2011, 88(2): 421-429.
[11]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, 2010, 51(5-6): 504-515.
[12]Xiyin Liang, Yongzhen Pei, Jianguo Tan, Yunfei Lv, Optimal parameter selection problem of the state dependent impulsive differential equations, Nonlinear Analysis: Hybrid Systems, 2019, 34: 238-247.
[13]Yongfeng Guo, Lin Wang, Fang Wei, Jianguo Tan, Dynamical behavior of simplified FitzHugh-Nagumo neural system driven by Lévy noise and Gaussian white noise, Chaos, Solitons & Fractals, 2019, 127:118-126.
[14]Yongfeng Guo, Yajun Shen, 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 Simulation38 (2016), 257-266.
[15]Yongfeng Guo, Bei Xi, Yajun Shen, Jianguo Tan, Mean first-passage time of second-order and under-damped asymmetric bistable model, Applied Mathematical Modelling, 40 (2016) 9445-9453.
[16]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.
[17]Yongfeng Guo, Yajun Shen, 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.
[18]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.
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
2019年入选天津市“中青年骨干创新人才培养计划”,
指导本科生获得全国大学生数学建模全国一等奖2项,全国二等奖1项; 美国数学建模一等奖2项,二等奖8项。
社会兼职
美国《Mathematical Review》评论员,国内外多个SCI杂志的审稿专家。