哈尔滨工业大学

丁效华

发布日期:2024-05-10 浏览次数:

基本信息 科学研究 教学工作 学生培养 新建主栏目 基本信息 名称 丁效华,男,1968年8月出生,汉族,哈尔滨工业大学数学系教授,博士生导师。主要研究方向:微分方程数值分析;海洋数值模拟。 教育经历 名称 1986.09-1990.07:伊犁师范学院数学系,获得学士学位 1990.09-1993.07:东北师范大学数学系,获得硕士学位 1999.09-2002.07:哈尔滨工业大学数学系,获得博士学位 2002年进入哈尔滨工业大学控制工程系博士后流动站 工作经历 名称 1993年至今,在哈尔滨工业大学(威海)任教 1995年晋升讲师 1999年晋升副教授 2004年晋升教授 2007年被评为博士生导师,基础教学带头人 2003.02至2009.05任数学系主任 2009.06至2018.10.31任教务处处长、招办主任 荣誉称号及获奖情况 名称 1995-1996年度,哈尔滨工业大学三育人标兵; 2001年获“宝钢”优秀教师奖; 2001年获哈尔滨工业大学优秀教学成果二等奖; 2004年获哈尔滨工业大学优秀教学成果一等奖; 2005年获黑龙江省教学成果一等奖; 2005年获黑龙江省高校科学技术进步一等奖; 2006年被评为第一批威海市有突出贡献的中青年专家; 2006年获黑龙江省科学技术进步(自然科学)一等奖; 2009年获山东省高等教育教学成果二等奖。 学术以及教学任职 名称 中国系统仿真协会会员,中国系统仿真协会算法委员会理事; 黑龙江省工业与应用数学会常务理事; 山东省数学会理事; 山东省“十五”重点建设学科计算数学负责人; 山东省优秀教学团队“工科数学教学团队”负责人; 山东省精品课程群“工科数学系列课程”负责人; 新疆天山学者讲座教授; 《Discrete Dynamics in Nature and Society》编委; 《黑龙江大学学报(自然科学版)》编委; Mathematical Reviews 评论员。 研究领域 名称 延迟微分方程数值方法;随机微分方程数值方法;数值动力系统分析;随机延迟系统定性理论;生物数学;偏微分方程数值方法;海洋数值仿真等。 科研项目 名称 主持或参加国家级科研项目8项、省部级科研项目多项。 近五年主持科研项目: 脉冲延迟微分方程数值分析(国家自然科学基金面上项目),2013.01-2016.12,已结题。 海面风场多源遥感融合产品检验与评估(横向课题,国家海洋局第一海洋研究所),2015.01-2017.12,已结题。 基于海洋遥感卫星网观测的海洋环境精细预报技术(国家重点研发计划重点研究项目子课题),2018.01-2020.12,已结题。 面向新工科的硕士研究生数值分析课程改革(哈尔滨工业大学教学研究项目),2018.09-2020.12,已结题。 发表论文 名称 [1] Minggang Han, Qiang Ma, Xiaohua Ding, High-order stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with additive noise, Applied Mathematics and Computation, 2019, 346: 575-593. [2] GuoGuo Yang, Qiang Ma, Xuliang Li, Xiaohua Ding, Structure-preserving stochastic conformal exponential integrator for linearly damped stochastic differential equations, Calcolo, 2019, 56(1), Article ID: UNSP 5. [3] Minggang Han, Qiang Ma, Xiaohua Ding, Projected explicit Ito-Taylor methods for stochastic differential equations under locally Lipschitz conditions and polynomial growth conditions, Journal of Computational and Applied Mathematics, 2019, 348: 161-180. [4] Yao Shi, Qiang Ma, Xiaohua Ding, Dynamical behaviors in a discrete fractional-order predator-prey system, Filomat, 2018, 32(17): 5857-5875. [5] Chun Lu, Xiaohua Ding, Periodic solutions and stationary distribution for a stochastic predator-prey system with impulsive perturbations, Applied Mathematics and Computation, 2019, 350: 313-322. [6] Ying Guo, Wei Zhao, Xiaohua Ding, Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay, Applied Mathematics and Computation, 2019, 343: 114-127. [7] Xiuyan Li, Chiping Zhang, Qiang Ma, Xiaohua Ding, Discrete gradient methods and linear projection methods for preserving a conserved quantity of stochastic differential equations, International Journal of Computer Mathematics, 2018, 95(12): 2511-2524. [8] Lei Shi, Xiaohua Ding, Zhong Chen, A new class of operational matrices method for solving fractional neutral pantograph differential equations, Advances in Difference Equations, 2018, Article ID: 94. [9] Mingzhu Li, Qiang Ma, Xiaohua Ding, A compact ADI Crank-Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation, International Journal of Computer Mathematics, 2018, 95(12): 2525-2538. [10] Mingzhu Li, Xiaohua Ding, Qiang Xu, Non-polynomial spline method for the time-fractional nonlinear Schrodinger equation, Advances in Difference Equations, 2018, Article ID: 318. [11] Lisha Wang, Wendi Qin, Xiaohua Ding, Dissipativity of theta-methods for a class of advection-reaction-diffusion equations with both fixed and distributed delays, International Journal of Computer Mathematics, 2018, 95(8): 1672-1687. [12] Ying Guo, Yida Wang, Xiaohua Ding, Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2018, 355(6): 3122-3144. [13] Lisha Wang, Xiaohua Ding, Mingzhu Li, Global asymptotic stability of a class of generalized BAM neural networks with reaction-diffusion terms and mixed time delays, Neurocomputing, 2018, 321: 251-265. [14] Sen Li, Huan Su, Xiaohua Ding, Synchronized stationary distribution of hybrid stochastic coupled systems with applications to coupled oscillators and a Chua's circuits network, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2018, 355(17): 8743-8765. [15] Chaojie Zhou, Xiaohua Ding, Jie Zhang, Yang Jungang, Qiang Ma, An evaluation of sea surface height assimilation using along-track and gridded products based on the Regional Ocean Modeling System (ROMS) and the four-dimensional variational data assimilation, Acta Oceanologica Sinica, 2018, 37(9): 50-58. [16] Chaojie Zhou, Xiaohua Ding, Jie Zhang, Jungang Yang, Qiang Ma, An objective algorithm for reconstructing the three-dimensional ocean temperature field based on Argo profiles and SST data, Ocean Dynamics, 2017, 67(12): 1523-1533. [17] Chaojie Zhou, Xiaohua Ding, Jie Zhang, Jungang Yang, Qiang Ma, An efficient T-S assimilation strategy based on the developed Argo-Extending algorithm, Advances in Meteorology, 2017, Article ID: 6847343. [18] Ying Guo, Xiaohua Ding, Yingjian Li, On input-to-state stability for stochastic multi-group models with multi-dispersal, Applicable Analysis, 2017, 96(16): 2800-2817. [19] Ying Guo, Yingjian Li, Xiaohua Ding, Global exponential stability of multi-group models with multiple dispersal and stochastic perturbation based on graph-theoretic approach, Filomat, 2017, 31(16): 5125-5138. [20] Ying Guo, Xiaohua Ding, Razumikhin method to global exponential stability for coupled neutral stochastic delayed systems on networks, Mathematical Methods in the Applied Sciences, 2017, 40(15): 5490-5501. [21] Ying Guo, Yanwen Li, Xiaohua Ding, Razumikhin method conjoined with graph theory to input-to-state stability of coupled retarded systems on networks, Neurocomputing, 2017, 267: 232-240. [22] Cuicui Liao, Jinchao Cui, Jiuzhen Liang, Xiaohua Ding, Multi-symplectic variational integrators for nonlinear Schr?dinger equations with variable coefficients, Chinese Physics B, 2016, 25(1): Article ID: 010205. [23] Cuicui Liao, Xiaohua Ding, Jiuzhen Liang, Combinations of nonstandard finite difference schemes and composition methods with complex time steps for population models, International Journal of Biomathematics, 2016, 9(4): Article ID: 1650049. [24] Cuicui Liao, Wanqiang Shen, Xiaohua Ding, Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC, Applied Mathematics and Letters, 2016, 60: 120-125. [25] Huan Su, Pengfei Wang, Xiaohua Ding, Stability analysis for discrete-time coupled systems with multi-diffusion by graph-theoretic approach and its application, Discrete and Continuous Dynamical Systems-Series B, 2016, 21(1): 253-269. [26] Huan Su, Yuwei Zhao, Wenxue Li, Xiaohua Ding, A graph-theoretic approach to exponential stability of stochastic BAM neural networks with time-varying delays, Neural Computing & Applications, 2016, 27(7): 2055-2063. [27] Ying Guo, Xiaohua Ding, Yingjian Li, Stochastic stability for pantograph multi-group models with dispersal and stochastic perturbation, Journal of the Franklin Institute-Engineering and Applied Mathematics, 2016, 353(13): 2980-2998. [28] Ying Guo, Shuang Liu, Xiaohua Ding, The existence of periodic solutions for coupled Rayleigh system, Neurocomputing, 2016, 191: 398-408. [29] Chun Lu, Xiaohua Ding, Persistence and extinction of an impulsive stochastic Logistic model with infinite delay, Osaka Journal of Mathematics, 2016, 53(1): 1-29. [30] Qiang Ma, Xiaohua Ding, Stochastic symplectic partitioned Runge-Kutta methods for stochastic Hamiltonian systems with multiplicative noise, Applied Mathematics and Computation, 2015, 252(1): 520-534. [31] Wendi Qin, Deqiong Ding, Xiaohua Ding, A non-standard finite difference scheme for an advection-diffusion-reaction equation, Mathematical Methods in the Applied Sciences, 2015, 38(15): 3308-3321. [32] Wendi Qin, Deqiong Ding, Xiaohua Ding, Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation, Applied Mathematics and Computation, 2015, 252: 552-567. [33] Huan Su, Zhifang He, Yuwei Zhao, Xiaohua Ding, A graph-theoretic approach to exponential stability of BAM neural networks with delays and reaction-diffusion, Applicable Analysis, 2015, 94(10): 2037-2056. [34] Deqiong Ding, Wendi Qin, Xiaohua Ding, Lyapunov functions and global stability for a discretized multigroup SIR epidemic model, Discrete and Continuous Dynamical Systems-Series B, 2015, 20(7): 1971-1981. [35] Yuanyuan Wang, Xiaohua Ding, Numerical bifurcation of a delayed diffusive food-limited model with Dirichlet boundary condition, Mathematical Methods in the Applied Sciences, 2015, 38(13): 2888-2900. [36] Chun Lu, Xiaohua Ding, Persistence and extinction of a stochastic Gilpin-Ayalamodel with jumps, Mathematical Methods in the Applied Sciences, 2015, 38(6): 1200-1211. [37] Chun Lu, Qiang Ma, Xiaohua Ding, Persistence and extinction for stochastic Logistic model with levy noise and impulsive perturbation, Electronic Journal of Differential Equations, 2015, Article ID: 247. [38] Lisha Wang, Lei Zhang, Xiaohua Ding, Global dissipativity of a class of BAM neural networks with both time-varying and continuously distributed delays, Neurocomputing, 2015, 152: 250-260. [39] Kaining Wu, Xiaohua Ding, Convergence and stability of Euler method for impulsive stochastic delay differential equations, Applied Mathematics and Computation, 2014, 229(1): 151-158. [40] Qiang Ma, Deqiong Ding, Xiaohua Ding, Mean-square dissipativity of several numerical methods for stochastic differential equations with jumps, Applied Numerical Mathematics, 2014, 82(4): 44-50. [41] Lei Zhang, Lisha Wang, Xiaohua Ding, Exact finite-difference scheme and nonstandard finite-difference scheme for coupled Burgers equation, Advances in Difference Equations, 2014, Article ID: 122. [42] Deqiong Ding, Xiaohua Ding, Dynamic consistent non-standard numerical scheme for a dengue disease transmission model, Journal of Difference Equations and Applications, 2014, 20(3): 492-505. [43] Wendi Qin, Lisha Wang, Xiaohua Ding, A non-standard finite difference method for a hepatitis B virus infection model with spatial diffusion, Journal of Difference Equations and Applications, 2014, 20(12): 1641-1651. [44] Deqiong Ding, Qiang Ma, Xiaohua Ding, An unconditionally positive and global stability preserving NSFD scheme for an epidemic model with vaccination, International Journal of Applied Mathematics and Computer Science, 2014, 24(3): 635-646. [45] Lei Zhang, Lisha Wang, Xiaohua Ding, Exact finite difference scheme and nonstandard finite difference scheme for Burgers and Burgers-Fisher equations, Journal of Applied Mathematics, 2014, Article ID: 597926. [46] Chun Lu, Xiaohua Ding, Permanence and extinction of a stochastic delay Logistic model with jumps, Mathematical Problems in Engineering, 2014, Article ID: 495275. [47] Ying Guo, Huan Su, Xiaohua Ding, Wang Ke, Global stochastic stability analysis for stochastic neural networks with infinite delay and Markovian switching, Applied Mathematics and Computation, 2014, 245(2): 53-65. [48] Chun Lu, Xiaohua Ding, Persistence and extinction of a stochastic Logistic model with delays and impulsive perturbation, Acta Mathematica Scientia, 2014, 34(5): 1551-1570. [49] Chun Lu, Xiaohua Ding, Persistence and extinction in general non-autonomous logistic model with delays and stochastic perturbation, Applied Mathematics and Computation, 2014, 229: 1-15. [50] Cuicui Liao, Xiaohua Ding, Nonstandard finite difference variational integrators for nonlinear Schr?dinger equation with variable coefficients, Advances in Difference Equations, 2013, Article ID: 12. [51] Yuanyuan Wang, Xiaohua Ding, Dynamics of a nonstandard finite difference scheme for a limit cycle oscillator with delayed feedback, Journal of Applied Mathematics, 2013, Article ID: 912374. [52] Deqiong Ding, Qiang Ma, Xiaohua Ding, A non-standard finite difference scheme for an epidemic model with vaccination, Journal of Difference Equations and Applications, 2013, 19(2): 179-190. [53] Huan Su, Wenxue Li, Xiaohua Ding, Preservation of Hopf bifurcation for neutral delay differential equations by theta-methods, Journal of Computational and Applied Mathematics, 2013, 248: 76-87. [54] Huan Su, Wenxue Li, Xiaohua Ding, Numerical dynamics of a nonstandard finite difference method for a class of delay differential equations, Journal of Mathematical Analysis and Applications, 2013, 400(1): 25-34. [55] Chun Lu, Xiaohua Ding, Persistence and extinction for a stochastic Logistic model with infinite delay, Electronic Journal of Differential Equations, 2013, Article ID: 262. [56] Qiang Ma, Deqiong Ding, Xiaohua Ding, Symplectic conditions and stochastic generating functions of stochastic Runge-Kutta methods for stochastic Hamiltonian systems with multiplicative noise, Applied Mathematics and Computation, 2012, 219(2): 635-643. [57] Cuicui Liao, Xiaohua Ding, Nonstandard finite difference variational integrators for multisymplectic PDEs, Journal of Applied Mathematics, 2012, Article ID: 705179. [58] Kaining Wu, Xiaohua Ding, Stability and stabilization of impulsive stochastic delay differential equations, Mathematical Problems in Engineering, 2012, Article ID: 176375. [59] Huan Su, Xiaohua Ding, Wenxue Li, Numerical bifurcation control of Mackey-Glass system, Applied Mathematics Modelling, 2011, 35(7): 3460-3472. [60] Xiaohua Ding, Hongyu Liu, Zaijiu Shang, Geng Sun, Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators, Applied Mathematics and Computation, 2011, 217(13): 6105-6114. [61] Deqiong Ding, Xiaohua Ding, Global stability of multi-group vaccination epidemic models with delays, Nonlinear Analysis-Real World Applications, 2011, 12(4): 1991-1997. [62] Xiaohua Ding, Qiang Ma, Lei Zhang, Convergence and stability of the split-step theta-method for stochastic differential equations, Computers and Mathematics with Applications, 2010, 60(5): 1310-1321. [63] Xiaohua Ding, Kaining Wu, Mingzhu Liu, The Euler scheme and its convergence for impulsive delay differential equations, Applied Mathematics and Computation, 2010, 216(5): 1566-1570. [64] Kaining Wu, Xiaohua Ding, Liming Wang, Stability and stabilization of impulsive stochastic delay difference equations, Discrete Dynamics in Nature and Society, 2010, Article ID: 592036. [65] Huan Su, Xiaohua Ding, Synchronization in time-discrete delayed chaotic systems, Neurocomputing, 2009, 73(1-3): 478-483. [66] Deqiong Ding, Qiang Ma, Xiaohua Ding, A non-standard finite difference scheme for an epidemic model with vaccination, Journal of Difference Equations and Applications, 2011, 19(2): 179-190. [67] Xiaohua Ding, Hongyu Liu, Zaijiu Shang, Geng Sun, Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators, Applied Mathematics and Computation, 2011, 217(13): 6105-6114. [68] Xiaohua Ding, Huan Su, Existence and convergence of Neimark-Sacker bifurcation for delay differential equations using Runge-Kutta methods, International Journal of Computer Mathematics, 2011, 88(1): 97-109. [69] Xiaohua Ding, Huan Su, Lisha Wang, Bifurcation analysis of the flour beetle population growth equations, Journal of Difference Equations and Applications, 2011, 17(1): 43-55. [70] Huan Su, Xiaohua Ding, Wenxue Li, Numerical bifurcation control of Mackey-Glass system, Applied Mathematical Modelling, 2011, 35: 3460-3472. [71] Deqiong Ding, Xiaohua Ding, Global stability of multi-group vaccination epidemic models with delays, Nonlinear Analysis: Real World Applications, 2011, 12(4): 1991-1997. [72] Xiaohua Ding, Qiang Ma, Lei Zhang, Convergence and stability of the split-step theta-method for stochastic differential equations, Computers and Mathematics with Applications, 2010, 60(5): 1310-1321. [73] Chun Lu, Xiaohua Ding, Mingzhu Liu, Numerical simulation of periodic solutions for a class of numerical discretization neural networks, Mathematical and Computer Modelling, 2010, 52(1-2): 386-396. [74] Lei Zhang, Xiaohua Ding, Solution of the prey-predator problem by He's parameterized perturbation methods, International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(9): 1223-1226. [75] Xiaohua Ding, Jiabo Tan, Implicit Runge-Kutta methods based on Radau quadrature formula, International Journal of Computer Mathematics, 2009, 86(8): 1394-1404. [76] Chun Lu, Xiaohua Ding, Mingzhu Liu, The numerical simulation of periodic solutions for a predator-prey system, Computers and Mathematics with Applications, 2010, 59(2): 868-879. [77] Xiaohua Ding, Lei Zhang, Applying He's prameterized perturbation method for solving differential-difference equation, International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(9): 1249-1252. [78] Kaining Wu, Chun Lu, Xiaohua Ding, The numerical simulation of periodic solutions for a neural network, Computers and Mathematics with Applications, 2009, 58(11-12): 2339-2346. [79] Rongyan Zhang, Xiaohua Ding, The Neimark-Sacker bifurcation of x_{n+1}=delta x_{n-2}+x_{n-3}A+x_{n-3}, Journal of Difference Equations and Applications, 2009, 15(8-9): 775-784. [80] Xiaohua Ding, Chun Lu, Existence of positive periodic solution for ratio-dependent N-species difference system, Applied Mathematical Modelling, 2009, 33: 2748-2756. [81] Huan Su, Xiaohua Ding, Dynamics of a nonstandard finite-difference scheme for Mackey-Glass system, Journal of Mathematical Analysis and Applications, 2008, 344 (2): 932-941. [82] Xiaohua Ding, Chun Lu, Mingzhu Liu, Periodic solutions for a semi-ratio-dependent predator-prey system with nonmonotonic functional response and time delay, Nonlinear Analysis-Real World Applications, 2008, 9(3): 762-775. [83] Rongnian Wang, Zhenqi Li, Xiaohua Ding, Nonlocal Cauchy problems for semilinear evolution equations involving almost sectorial operators, Indian Journal of Pure & Applied Mathematics, 2008, 39(4): 333-346. [84] Xiaohua Ding, Rongyan Zhang, On the difference equation x_{n+1}=(alpha x_{n}+beta x_{n-1})e^{-x_n}, Advance in Difference Equations, 2008, Article ID: 876936. [85] Xiaohua Ding, Huan Su, Mingzhu Liu, Stability and bifurcation of numerical discretization of a second-order delay differential equation with negative feedback, Chaos Solitons & Fractals, 2008, 35(4): 795-807. [86] Xiaohua Ding, Wenxue Li, Local Hopf bifurcation and global existence of periodic solutions in a kind of physiological system, Nonlinear Analysis-Real World Applications, 2007, 8(5): 1459-1471. [87] Xiaohua Ding, Dejun Fan, Mingzhu Liu, Stability and bifurcation of a numerical discretization Mackey-Glass system, Chaos Solitons & Fractals, 2007, 34(2): 383-393. [88] Xiaohua Ding, Huan Su, Dynamics of a discretization physiological control system, Discrete Dynamics in Nature and Society, Volume 2007, Article ID: 51406. [89] Xiaohua Ding, Kaining Wu, Mingzhu Liu, Convergence and stability of the semi-implicit Euler method for linear stochastic delay integro-differential equations, International Journal of Computer Mathematics, 2006, 83(10): 753-763. [90] Xiaohua Ding, Exponential stability of a kind of stochastic delay difference equations, Discrete Dynamics in Nature and Society, 2006, Article ID: 94656. [91] Xiaohua Ding, Wenxue Li, Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay, Discrete Dynamics in Nature and Society, 2006, Article ID: 19413. [92] Haiying Gao, Ke Wang, Fengying Wei, Xiaohua Ding, Massera-type theorem and asymptotically periodic Logistic equations, Nonlinear Analysis-Real World Applications 2006,7(5): 1268-1283. [93] Xiaohua Ding, Mingzhu Liu, Convergence of parallel diagonal iteration of Runge-Kutta methods for delay differential equations, Journal of Computational Mathematics, 2004, 22(3): 361-370. [94] Xiaohua Ding, Mingzhu Liu, Convergence aspects of step-parallel iteration of Runge-Kutta methods for delay differential equations, BIT, 2002, 42(3): 508-518. 讲授课程 名称 常微分方程数值方法 数值动力系统 工科数学分析 代数与几何 概率论与数理统计 数值分析 复变函数 运筹学 离散数学 高等几何 高等代数 出版物 名称 《工科数学分析教程》(上、下)机械工业出版社,2004.1,副主编(该教材获机械工业出版社优秀教材一等奖,为国家“十一五”规划教材)(再版多次) 《工科数学分析例题与习题》(上、下)机械工业出版社,2007.10,主编 《复变函数论与运算微积》机械工业出版社,2004.5,主编 《概率论与数理统计》机械工业出版社,2005.2,主编(再版多次) 《数学物理方程》机械工业出版社,2007.11,主编 《最优化方法》机械工业出版社,2012.10,主编 《数值分析原理》科学出版社,2003.8,参编 招生信息 名称 招收硕士研究生、博士研究生: 研究方向为: 1. 微分方程数值方法:随机微分方程,延迟微分方程,脉冲微分方程等模型,构造新的数值格式以及研究方法的收敛性,稳定性及数值方法的保结构等。 2. 数值动力系统分支理论:研究离散动力系统的分支问题,同步问题等。 3. 定性理论研究:延迟、随机、脉冲系统的稳定性,有界性以及相关控制理论的研究。 4. 海洋数值仿真。 目前,具有优秀的项目平台,有意者请将简历发送至mathdxh@hit.edu.cn。 桃李满天 名称 已毕业博士: 吴开宁 苏 欢 丁德琼 廖翠萃 马强 张磊 张蕾 王丽莎 秦文娣 王媛媛 卢春 王黎明 李明珠 李秀艳 周超杰 韩明岗 晏日安 王振宇 石瑶 杨国国 辛璇 李森 吴龙斌 在读博士: 叶明德 王丰 刘学伟 黄小祝 蔺书平

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