Name: Chengjian Zhang

Professor in School of Mathematics and Statistics

Phone: 86-27-87541925

Email: cjzhang@mail.hust.edu.cn

Academic Areas: Departmnt of Computational Mathematics

Research Interest

[1] Numerical Methods for Stiff Ordinary and Functional Differential Equations; [2] Numerical Methods for Singularly Perturbed and Differential-algebraic Systems with Delay; [3] Numerical Methods for Stochastic Delay Differential Equations

Education

Doctor--Applied Mathematics--Hunan University,Changsha,China--1998

Master--Computational Mathematics--Xiangtan University,Xiantan,China--1992

Bachelor--Pur Mathematics--Xiangtan University,Xiantan,China--1986

Oversea Study and Visit

Post Doctoral,Department of Computer Science, Katholieke Universiteit Leuven,Belgium,2002-03-01-2004-02-16

Academic Memberships

Associate Director,Simulation Algorithms Committee of China,System Simulation Society of China,2001-05-01.

Honours and Awards

Second Class Award of Hubei in Natural Sciences,The people//s government of Hubei Province,2010

First Class Award of Hubei Eduction Results,The people//s government of Hubei Province,2013

Honours and Awards

[1] [1] Hao Chen and Chengjian Zhang,Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations, Appl. Numer. Math.,2012, 62:141-154. (SCI) [2] Hao Chen and Chengjian Zhang,Stability analysis of linear multistep and Runge–Kutta methods for neutral multidelay-differential-algebraic systems, Math. Comput. Model., 2012, 55:530-537. (SCI) [3] Rui Qi,Chengjian Zhang and Yujie Zhang, Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations, Acta Math. Appl. Sin., 2012,28: 225-236. (SCI) [4] Huiqin Chen, Jinqiao Duan and Chengjian Zhang, Elementary bifurcations for a simple dynamical system under non-Gaussian L´evy noises, Acta Math. Sci., 2012, 32B:1391–1398. (SCI) [5] Dongfang Li, Chengjian Zhang and Wansheng Wang, Long time behavior of non-Fickian delay reaction-diffusion equations, Nonlinear Anal.: RWA,2012, 13:1401-1415. (SCI) [6] Dingwen Deng and Chengjian Zhang, A new fourth-order numerical algorithm for a class of nonlinear evolution equations, Numer. Meth. Part. Diff. Equ., 2012, Accepted. [7] Yuanling Niu and Chengjian Zhang, Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations, J. Sys. Sci. Compl., 2012, 25:736-743. (SCI) [8] Hao Chen and Chengjian Zhang, Block boundary value methods for solving Volterra integral and integro-differential equations, J. Comput. Appl.Math., 2012, 236:2822–2837. (SCI) [9] Ming Wang, Dongfang Li, Chengjian Zhang and Yanbin Tang, Long time behavior of solutions of gKdV equations, J. Math. Anal. Appl., 2012, 390(1):136-150. (SCI) [10] Chengjian Zhang, A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations, Abst. Appl. Anal., 2012, 2012: Article ID 642318, 21 pages. (SCI) [11] Dingwen Deng and Chengjian Zhang, Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables, Numer. Algor., 2012, Accepted. [12] Dingwen Deng and Chengjian Zhang, Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation, Inter. J. Comput. Math., 2012, Accepted. [13] Dingwen Deng, Chengjian Zhang,A new fourth-order numerical algorithm for a class of nonlinear wave equations, Appl. Numer. Math., 2012, 62:1864-1879. (SCI) [14] Wenjie Shi, Chengjian Zhang,Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations, Appl. Numer. Math., 2012, 62:1954-1964. (SCI) [15] Qifeng Zhang, Chengjian Zhang, Compact difference scheme combined with extrapolation techniques for a class of neutral delay parabolic differential equations, Appl. Math. Lett., 2012, Accepted, [16] Dingwen Deng, Chengjian Zhang, A family of new fourth-order solvers for a nonlinear damped wave equation,Comput. Phys. Commun., 2012, Accepted, [17] Wang Wansheng and Zhang Chengjian, Analytical and numerical dissipativity for nonlinear generalized pantograph equations, Disc. Cont. Dyn. Syst. (Ser.A), 2011, 29: 1245–1260. (SCI) [18] Lan Zhang, Chengjian Zhang and Dongming Zhao, Hopf bifurcation analysis of integro-differential equation with unbounded delay, Appl. Math. Comput., 2011, 217: 4972–4979. (SCI) [19] Dongfang Li, Chengjian Zhang, Wansheng Wang and Yangjing Zhang, Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations, Appl. Math. Model., 2011, 35: 2711-2722. (SCI) [20] Chengjian Zhang, Hao Chen and Leming Wang, Strang-type preconditioners applied to ordinary and neutral differential- algebraic equations, Numer. Linear Algebra Appl., 2011, 18: 843-855. (SCI) [21] Yuanling Niu, Chengjian Zhang and Jinqiao Duan, A delay-dependent stability criterion for nonlinear stochastic delay-integro- differential equations, Acta Math. Sci., 2011, 31B: 1813–1822. (SCI) [22] Dongfang Li, Chengjian Zhang and Hongyu Qin, LDG method for reaction-diffusion dynamical systems with time delay, Appl. Math. Comput., 2011, 217: 9173–9181. (SCI) [23] Wansheng Wang, Chengjian Zhang and Dongfang Li, Asymptotic stability of exact and discrete solutions for neutral multidelay-integro- differential equations, Appl. Math. Model., 2011, 35: 4490–4506. (SCI) [24] Hao Chen and Chengjian Zhang, Boundary value methods for Volterra integral and integro-differential equations, Appl. Math. Comput., 2011,218: 2619-2630. (SCI) [25] Huiqin Chen, Jinqiao Duan, Xiaofan Li and Chengjian Zhang, A computational analysis for mean exit time under non-Gaussian Lévy noises, Appl. Math. Comput., 2011, 218: 1845–1856. (SCI) [26] Dongfang Li and Chengjian Zhang,Superconvergence of a discontinous Galerkin methods for first-order linear delay differential differential equations, J. Comput. Math., 2011, 29: 574–588. (SCI) [27] Wei Zou, Jianquan Lu, Yang Tang, Chengjian Zhang and Jürgen Kurths, Control of delay-induced oscillation death by coupling phase in coupled oscillators, Phy. Rev. E, 2011, 84, 066208. (SCI) [28] Dongfang Li and Chengjian Zhang, Split Newton iterative algorithm and its application, Appl. Math. Comput., 2010, 217: 2260–2265. (SCI) [29] Chengjian Zhang and Peng Lv, Unique solvability of numerical methods for stiff delay-integro-differential equations, J. Integ. Equ. Appl. ,2010, 22: 631–645. (SCI) [30] Chengjian Zhang and Hao Chen, Asymptotic stability of block boundary value methods for delay differential-algebraic equations, Math. Comput. Sim., 2010, 81: 100-108. (SCI) [31] Chengjian Zhang, Tingting Qin and Jie Jin, The extended Pouzet-Runge- Kutta methods for nonlinear neutral delay-integro-differential equations, Computing, 2010, 90: 57–71. (SCI) [32] Chengjian Zhang, Hao Chen, Block boundary value methods for delay differential equations, Appl. Numer. Math., 2010, 60: 915-923. (SCI) [33] Lan Zhang, Chengjian Zhang and Dongming Zhao, Control of a class of chaotic systems by a stochastic delay method, Kybernetika, 2010, 46: 38-49. (SCI) [34] Wansheng Wang and Chengjian Zhang, Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space, Numer. Math., 2010, 115: 451–474. (SCI) [35] Feiyan Xiao and Chengjian Zhang, Convergence analysis of Runge-Kutta methods for a class of retarded differential algebraic systems, Acta Math. Sci., 2010, 30B: 65–74. (SCI) [36] Dongfang Li and Chengjian Zhang, Nonlinear stability of discontinuous Galerkin methods for delay differential equations, Appl.Math. Lett., 2010, 23: 457-461. (SCI) [37] Chengjian Zhang, Tingting Qin and Jie Jin, An improvement of the numerical stability results for nonlinear neutral delay-integro- differential equations, Appl. Math. Comput., 2009, 215: 548-556. (SCI) [38] Feiyan Xiao and Chengjian Zhang, Existence and uniqueness of the solution of stochastic differential algebraic equations with delay, Adv. Sys. Sci. Appl., 2009, 9: 121-127. [39] Chengjian Zhang and Yaoyao He, The extended one-leg methods for nonlinear neutral delay-integro-differential equations, Appl. Numer. Math., 2009, 59: 1409-1418. (SCI) [40] Chengjian Zhang and Niu Yuanling, The stability relation between ordinary and delay-integro-differential equations, Math. Comput. Model., 2009, 49: 13-19. (SCI) [41] Chengjian Zhang and Stefan Vandewalle,Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations, Adv. Comput. Math., 28: 383-399, 2008. (SCI) [42] Lan Zhang and Chengjian Zhang, Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers, Kybernetika, 44: 35-42, 2008. (SCI) [43] Lan Zhang and Chengjian Zhang, Control of a class of chaotic systems using stochastic method, Dyn. Cont. Dis. Imp. Sys. (Ser. B), 2007, 14(S): 210-214. [44] Chengjian Zhang and Stefan Vandewalle,General linear methods for Volterra integro-differential equations with memory, SIAM J. Sci. Comput., 27: 2010-2031,2006. (SCI) [45] Zhiyong Wang and Chengjian Zhang, An analysis of stability of Milstein methods for stochastic differential equations with delay, Comput. Math. Appl., 51: 1445-1452, 2006. (SCI) [46] Xiaoxin Liao, Yuli Fu, Shengli Xie and Chengjian Zhang, Globally exponential stability of Hopfield neural networks, Adv. Syst. Sci. Appl., 5: 533-545, 2005. [47] Chengjian Zhang and Stefan Vandewalle, Stability analysis of Runge- Kutta methods for nonlinear Volterra delay-integro-differential equations, IMA J. Numer. Anal., 24: 193-214, 2004. (SCI) [48] Chengjian Zhang and Stefan Vandewalle, Stability analysis of Volterra delay-integro-differential equations and their backward different- tiation time discretization, J. Comput. Appl. Math., 164: 797-814, 2004. (SCI) [49] Chengjian Zhang, Nonlinear stability of Runge- Kutta methods applied to infinite-delay-differential equations, Math. Comput. Model., 39 : 495-503, 2004. (SCI) [50] Chengjian Zhang and Geng Sun, Boundedness and asymptotic stability of multistep methods for generalized pantograph equations, J. Comput. Math., 22: 447-456, 2004. (SCI) [51] Chengjian Zhang, NGP(a)-stability of General Linear Methods for NDDEs, Comput. Math. Appl., 47: 1105-1113, 2004. (SCI) [52] Chengjian Zhang, Convergence analysis for general linear methods applied to stiff delay differential equations, Prog. Nat. Sci.,12: 414-420, 2002. (SCI) [53] Chengjian Zhang and Geng Sun, The discrete dynamics of nonlinear infinte- delay-differential equations, Appl. Math. Lett.,15: 521-526, 2002. (SCI) [54] Chengjian Zhang, Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations, J. Comput. Math., 20: 561-574, 2002. (SCI) [55] Chengjian Zhang and Liao Xiaoxin, Stability of BDF methods for nonlinear Volterra integral equations with delay, Comput. Math. Appl., 43: 95-102, 2002. (SCI) [56] Chengjian Zhang, Shuzi Zhou and Xiaoxin Liao, D-convergence and GDN- stability of Runge-Kutta methods, Appl. Numer. Math.,37: 161- 170, 2001. (SCI) [57] Chengjian Zhang and Shoufu Li, Dissipativity and exponential asymp- totic stability of the solutions for nonlinear neutral functional- differential equations, Appl. Math. Comput., 119: 109- 115, 2001. (SCI) [58] Chengjian Zhang and Xiaoxin Liao, Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations, Acta Math. Appl. Sin.,17: 240-246, 2001. [59] Chengjian Zhang and Hongbing Yu, A delay differential equations solver based on the parallel Adams methods, Comm. Nonlin. Sci. Num. Sim., 6: 28-34, 2001. [60] Chengjian Zhang and Xiaoxin Liao, Nonlinear stability of (ρ,σ)- methods for stiff delay-differential-algebraic systems, Control. Theory Appl., 18: 827-832, 2001. [61] Chengjian Zhang and Xiaoxin Liao, D-convergence and stability of linear multistep methods for nonlinear DDEs, J. Comput. Math.,18: 199-206, 2000. (SCI) [62] Chengjian Zhang and Shuzi Zhou, Stability analysis of LMM for systems of neutral multidelay-differential equations, Comput. Math. Appl., 38: 113-117, 1999. (SCI) [63] Chengjian Zhang and Shuzi Zhou, The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differen tial equations, Sci. China (Ser. A), 41: 1151-1157, 1998. (SCI) [64] Chengjian Zhang and Shuzi Zhou, Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations, J. Comput. Appl. Math., 85: 225-237, 1997. (SCI) [65] Chengjian Zhang,The nonlinear stability of a class of multistage one-step multiderivative methods, Chinese J. Numer. Math. Appl., 18: 56-64, 1996.