Academic Area: Computational Mathematics and Applications
Research Interests: Numerical solutions for ordinary and partial differential equations
Academic Degrees
PhD, 1998, Department of Applied Mathematics, Hunan University, China;
MSc, 1992, Department of Mathematics, Xiangtan University, China;
B.S., 1986, Department of Mathematics, Xiangtan University, China;
Professional Experience
. Professor (June 2001-- Present) , School of Mathematics and Statistics, Huazhong University of Science and Technology, China;
. Visiting Professor (July 2016--August 2016), Department of Scientific Computing, Florida State University，USA;
. Visiting Professor (July 2012 -- August 2012) Institute for Pure and Applied Mathematics, University of California, Los Angeles, USA;
. Visiting Professor (March 2009-- April 2009), Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;
. Visiting Professor ( February 2007 -- March 2007), Department of Applied Mathematics, Illinois Institute of Technology, USA;
. Postdoctor Research Fellow (March 2002 -- February 2004), Department of Computer Science, Katholieke Universiteit Leuven, Belgium;
. Associate Professor (July 1998--May 2001), Department of Mathematics, Huazhong University of Science and Technology, China;
. Postdoctoral researcher (July 1998 -- May 2000), Department of Control Science and Engineering, Huazhong University of Science and Technology, China;
. Associate Professor (June 1997--July 1998), Department of Applied Mathematics, Hunan University, China;
. Lecture (June 1993--May 1997), Department of Applied Mathematics, Hunan University, China;
. Assistant Lecture (July 1992--May 1993), Department of Applied Mathematics, Hunan University, China;
. Assistant Lecture (July 1986--August 1989), Department of Mathematics, Changsha University of Science and Technology, China.
Selected Publications
. Chengjian Zhang, Lu Zhao, The Attractors for 2nd-order stochastic delay lattice systems, . Discrete and Continuous Dynamical Systems (Ser. A), 2017, 37(1): 575-590.
. Ying Xie, Chengjian Zhang, Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and markovian switching, Applied Mathematics Letters, 2017, 70: 46-51.
. Cui Li, Chengjian Zhang, Block boundary value methods applied to functional differential equations with piecewise continuous arguments, Applied Numerical Mathematics, 2017, 115: 214-224.
. Wenjie Shi, Chengjian Zhang, Generalized polynomial chaos for nonlinear random delay differential equations, Applied Numerical Mathematics, 2017, 115: 16-31.
. Qifeng Zhang, Mei Ming, Chengjian Zhang, Higher-order linearized multistep finite difference methods for non-Fickian delay reaction- diffusion equations, International Journal of numerical Analysis and Modelling, 2017, 14 (1): 1-19.
. Xiuling Yin, Chengjian Zhang, Jingjing Zhang, Compact discrete gradient schemes for nonlinear Schrodinger equations, International Journal of Nonlinear Sciences and Numerical Simulation, 2017, 18(1): 1-7.
. Cui Li, Chengjian Zhang, The extended generalized Stormer-Cowell methods for second-order delay boundary value problems, Applied Mathematics and Computation, 2017, 294: 87-95.
. Chengjian Zhang, Wenjie Shi, Application of gPCRK methods to nonlinear random differential equations with piecewise constant argument, East Asian Journal on Applied Mathematics, 2017, 7 (2): 306-324.
. Xiuling Yin, Chengjian Zhang, Yanqin Liu, Exponentially fitted trapezoidal scheme for a stochastic oscillator, Journal of Computational Mathematics, 2017, 35 (6): 801-813.
. Maohua Ran, Chengjian Zhang, A linearly implicit conservative scheme for the fractional nonlinear Schrodinger equation with wave operator, International Journal of Computer Mathematics, 2016， 93：1103-1118.
. Dongfang Li, Chengjian Zhang, Maohua Ran, A linear finite difference scheme for generalized time fractional Burgers equation, Applied Mathematical Modelling, 2016, 40: 6069-6081.
. Qifeng Zhang, Chengjian Zhang, Li Wang, The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations, Journal of Computational and Applied Mathematics , 2016, 306: 217-230.
. Maohua Ran, Chengjian Zhang, A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrodinger equations, Communications in Nonlinear Science and Numerical Simulation, 2016, 41: 64-83.
. Lu Zhao, Meihua Yang, Chengjian Zhang, Dynamics for the damped Boussinesq equation with delay, Stochastics and Dynamics , 2016, 16 (6): 1650021 (11 pages).
. Qifeng Zhang, Dongfang Li, Chengjian Zhang, Dinghua Xu, Multistep finite difference schemes for the variable coefficient delay parabolic equations, Journal of Difference Equations and Applications, 2016, 22(6): 745-765.
. Wenjie Shi, Chengjian Zhang, Generalized polynomial chaos for nonlinear random pantograph equations, Acta Mathematicae Applicatae Sinica, 2016, 32(3): 685-700.
. Dongfang Li, Chengjian Zhang, Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs,Applied Mathematics and Computation, 2016，280：168-179.
. Tingting Qin, Chengjian Zhang, Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations, Applied Mathematics and Computation, 2015, 250:47-57.
. Dongfang Li, Chengjian Zhang, Jinming Wen, A note on compact finite difference method for reaction-diffusion equations with delay, Applied Mathematical Modelling, 2015, 39(5-6): 1749-1754.
. Dingwen Deng, Chengjian Zhang, Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations, Applied Mathematical Modelling, 2015, 39(3-4):1033-1049.
. Yuanling Niu, Kevin Burrage, Chengjian Zhang, Multi-scale approach for simulating time-delay biochemical reaction systems,IET Systems Biology, 2015, 9(1):31-38.
. Lu Zhao, Chengjian Zhang, Dongfang Li, Global attractor for a class of retarded lattice dynamical systems, Journal of Mathematical Analysis and Applications, 2015, 425(1):178-193.
. Bochao Liu, Chengjian Zhang, A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations, Computers and Mathematics with Applications, 2015, 69(8): 709-724.
. Yuanling Niu, Chengjian Zhang, Kevin Burrage, Strong predictor- corrector approximation for stochastic delay differential equations, Journal of Computational Mathematics, 2015, 33 (6): 587- 605.
. Jianwan Ding, Chengjian Zhang, An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations, Applied Mathematics and Computation , 2015, 265:347-351.
. Dongfang Li, Chengjian Zhang, L∞ error estimates of discontinuous Galerkin methods for delay differential equations, Applied Numerical Mathematics, 2014, 82:1-10.
. Chengjian Zhang, Tingting Qin, The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations, Applied Mathematics and Computation, 2014, 237:396-404.
. Qifeng Zhang, Chengjian Zhang, Dingwen Deng, Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations, International Journal of Computer Mathematics, 2014, 91(5):964-982.
. Dongfang Li, Chengjian Zhang, On the long time simulation of reaction- diffusion equations with delay,Scientific World Journal, 2014, 2014:Article ID 186802, 5 pages.
. Yongxiang Zhao, Aiguo Xiao, Li Li, Chengjian Zhang, Variational Iteration Method for Singular Perturbation Initial Value Problems with Delays, Mathematical Problems in Engineering, 2014, 2014: Article ID 850343, 8 pages.
. Qifeng Zhang, Chengjian Zhang, Compact difference scheme combined with extrapolation techniques for a class of neutral delay parabolic differential equations, Applied Mathematics Letters, 2013, 26(2): 306- 312.
. Dingwen Deng, Chengjian Zhang, A family of new fourth-order solvers for a nonlinear damped wave equation,Computer Physics Communications, 2013, 184(1): 86-101.
. Dingwen Deng, Chengjian Zhang, A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations, Numerical Methods for Partial Differential Equations, 2013, 29(1): 102-130.
. Dingwen Deng, Chengjian Zhang, Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables, Numerical Algorithms, 2013, 63(1): 1-26.
. Dingwen Deng, Chengjian Zhang, Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation, International Journal of Computer Mathematics, 2013, 90(2): 273-291.
. Qifeng Zhang , Chengjian Zhang, Block preconditioning strategies for nonlinear viscous wave equations, Applied Mathematical Modelling, 2013, 37(8): 5801-5813.
. Yuanling Niu, Kevin Burrage , Chengjian Zhang, A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations, Journal of Computational and Applied Mathematics, 2013, 253: 51-65.
. Wan Zhengsu, Guo Benyu and Zhang Chengjian, Generalized Jacobi- Gauss- Lobatto interpolation, Frontiers of Mathematics in China, 2013, 8(4): 933-960.
. Qifeng Zhang , Chengjian Zhang, A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay, Communications in Nonlinear Science Numerical Simulation, 2013, 18(12): 3278-3288.
. Qifeng Zhang,Chengjian Zhang, Dingwen Deng, Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations, International Journal of Computer Mathematics, 2014, 91 (5)964-982.
. Qifeng Zhang,Chengjian Zhang, Dingwen Deng, A compact difference scheme and Richardson extrapolation algorithm for solving a class of nonlinear delay hyperbolic partial differential equation, Journal On Numerical Methods and Computer Applications, 2013,34(3): 167-176.
. Hao Chen, Chengjian Zhang, Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations, Applied Numerical Mathematics, 2012, 62(2): 141-154.
. Hao Chen, Chengjian Zhang, Stability analysis of linearmultistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems, Mathematical and Computer Modelling, 2012, 55(3-4): 530-537.
. Dongfan Li, Chengjian Zhang, Wansheng Wang, Long time behavior of non-Fickian delay reaction-diffusion equations, Nonlinear Analysis: Real World Applications, 2012, 13(3): 1401-1415.
. Qi Rui,Chengjian Zhang, Yujie Zhang, Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations, Acta Mathematicae Applicatae Sinica, 2012, 28(2): 225-236.
. Huiqin Chen, Jinqiao Duan , Chengjian Zhang, Elementary bifurcations for a simple dynamical system under non-Gaussian Levy noises, Acta Mathematica Scientia, 2012, 32B(4):1391-1398.
. Yuanling Niu, Chengjian Zhang, Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations, Journal of Systems Science and Complexity, 2012, 25(4):736-743.
. Hao Chen, Chengjian Zhang, Block boundary value methods for solving Volterra integral and integro-differential equations, Journal of Computational and Applied Mathematics, 2012, 236(11): 2822-2837.
. Ming Wang, Dongfang Li, Chengjian Zhang, Yanbin Tang, Longtime behavior of solutions of gKdV equations, Journal of Mathematical Analysis and Applications, 2012, 390(1): 136-150.
. Chengjian Zhang, A class of new Pouzet-Runge-Kutta-type methods
for nonlinear functional integro-differential equations, Abstract and Applied Analysis, Volume 2012, Article ID 642318, 21 pages, 2012.
. Dingwen Deng, Chengjian Zhang, A new fourth-order numerical algorithm for a class of nonlinear wave equations, Applied Numerical Mathematics, 2012,62(12): 1864-1879.
. Wenjie Shi, Chengjian Zhang, Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations, Applied Numerical Mathematics, 2012, 62(12):1954-1964.
. Zhengsu Wan, Chengjian Zhang, Baolin Zhang, A new parallel algorithm for finite difference approximation to the second-order ordinary differential equations, Universal Journal of Mathematics and Mathematical Sciences, 2012, 2(1): 119-128.
. Wansheng Wang, Chengjian Zhang, Analytical and numerical dissipativity for nonlinear generalized pantograph equations, Discrete and Continuous Dynamical Systems (Ser.A), 2011, 29(3): 1245-1260.
. Lan Zhang, Chengjian Zhang, Dongming Zhao, Hopf bifurcation analysis of integro-differential equation with unbounded delay, Applied Mathematics and Computation, 2011, 217(10): 4972-4979.
. Dongfan Li, Chengjian Zhang, Wansheng Wang and Yangjing Zhang,Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations, Applied Mathematical Modelling, 2011, 35(6): 2711-2722.
. Chengjian Zhang, Hao Chen, Leming Wang, Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations, Numerical Linear Algebra with Applications, 2011, 18(5): 843-855.
. Yuanling Niu, Chengjian Zhang, Jinqiao Duan, A delay-dependent stability criterion for nonlinear stochastic delay-integro- differential equations, Acta Mathematica Scientia, 2011, 31B(5): 1813- 1822.
. Dongfan Li, Chengjian Zhang, Hongyu Qin, LDG method for reaction- diffusion dynamical systems with time delay, Applied Mathematics and Computation, 2011, 217(22): 9173-9181.
. Wansheng Wang, Chengjian Zhang, Dongfan Li, Asymptotic stability of exact and discrete solutions for neutral multidelay-integro- differential equations, Applied Mathematical Modelling, 2011, 35(9): 4490-4506.
. Hao Chen, Chengjian Zhang, Boundary value methods for Volterra integral and integro-differential equations, Applied Mathematics and Computation, 2011, 218(6): 2619-2630.
. Huiqin Chen, Jinqiao Duan, Xiaofan Li, Chengjian Zhang, A computational analysis for mean exit time under non-Gaussian Lévy noises, Applied Mathematics and Computation, 2011, 218 (5): 1845-1856.
. Dongfan Li , Chengjian Zhang, Superconvergence of a discontinous Galerkin methods for first-order linear delay differential differential equations, Journal of Computational Mathematics, 2011, 29(5): 574-588.
. Wei Zou, Jianquan Lu, Tang Yang, Chengjian Zhang, Jurgen Kurths, Control of delay-induced oscillation death by coupling phase in coupled oscillators, PHYSICAL REVIEW E, 2011, 84, 066208.
. Chengjian Zhang, Tingting Qin, Jin Jie, The extended Pouzet-Runge- Kutta methods for nonlinear neutral delay-integro-differential equations, Computing, 2010, 90(1-2): 57-71.
. Chengjian Zhang, Peng Lv, Unique Solvability of Numerical Methods for Stiff Delay-integro-differential Equations, Journal of Integral Equations and Applications, 2010, 22(4): 631-645.
. Dongfan Li, Chengjian Zhang, Split Newton iterative algorithm and its application, Applied Mathematics and Computation, 2010, 217(5): 2260-2265.
. Chengjian Zhang, Hao Chen, Asymptotic stability of block boundary value methods for delay differential-algebraic equations, Mathematics and Computers in Simulation, 2010, 81(1): 100-108.
. Chengjian Zhang, Hao Chen, Block boundary value methods for delay differential equations, Applied Numerical Mathematics, 2010, 60(9): 915-923.
. Chengjian Zhang, Peng Lv, Existence and Uniqueness of Numerical Methods and Their Newton-Iterative Solutions for Delay-Integro-Differential Equations on Banach Spaces, Acta Mathematica Scientia, 2010, 30A(2): 456-464.
. Feiyan Xiao, Chengjian Zhang, Euler-Maruyama Methods for a Class of Stochastic Differential Algebraic System with Delay, Acta Mathematicae Applicatae Sinica, 2010, 33A(4):590-600.
. Lan Zhang, Chengjian Zhang, Dongming Zhao, Control of a class of chaotic systems by a stochastic delay method, Kybernetika, 2010, 46(1): 38-49.
. Wansheng Wang, Chengjian Zhang, Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space, Numerische Mathematik, 2010, 115(3): 451-474.
. Feiyan Xiao , Chengjian Zhang, Convergence analysis of Runge-Kutta
methods for a class of retarded differential algebraic systems, Acta Mathematica Scientia, 2010, 30B(1): 65-74.
. Dongfan Li, Chengjian Zhang, Nonlinear stability of discontinuous Galerkin methods for delay differential equations, Applied Mathematics Letters, 2010, 23(4): 457-461.
. Feiyan Xiao , Chengjian Zhang, Existence and uniqueness of the solution of stochastic differential algebraic equations with delay, Advances in Systems Science and Applications, 2009, 9(1): 121-127.
. Chengjian Zhang, Tingting Qin, Jin Qie, An improvement of the numerical stability results for nonlinear neutral delay-integro- differential equations, Applied Mathematics and Computation, 2009, 215(2): 548-556.
. Chengjian Zhang, Yaoyao He, The extended one-leg methods for nonlinear neutral delay-integro-differential equations, Applied Numerical Mathematics, 2009, 59(6):1409-1418.
.Chengjian Zhang, Yuanling Niu, The stability relation between ordinary and delay-integro-differential equations, Mathematical and Computer
Modelling, 2009, 49(1-2): 13-19.
. Yuanling Niu , Chengjian Zhang, The exponential stability of of nonlinear delay differential equations with multidelay,Acta Mathematicae Applicatae Sinica, 2008, 31(4): 654-662.
. Lan Zhang, Chengjian Zhang, Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers, Kybernetika, 2008, 44(1):35-42.
. Lan Zhang , Chengjian Zhang, Control of a class of chaotic systems using stochastic method, Dynamics of Continuous Discrete and Impulsive Systems (Ser. B), 2007, 14(S): 210-214.
. Chengjian Zhang, Stefan Vandewalle, Stability Criteria for Exact and Discrete Solutions of Neutral Multidelay-Integro-Differential Equations, Advances in Computational Mathematics, 2008, 28(4):383-399.
. Chengjian Zhang, Stefan Vandewalle, General Linear Methods for Volterra Integro-Differential Equations with Memory, SIAM Journal on Scientific Computing, 2006, 27(6): 2010-2031.
. Zhiyong Wang, Chengjian Zhang, An analysis of Stability of Milstein methods for stochastic differential equations with delay, Computers and Mathematics with Applications, 2006, 51: 1445-1452.
. Chengjian Zhang, Stefan Vandewalle, Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations, IMA Journal of Numerical Analysis, 2004, 24(2): 193-214.
. Chengjian Zhang, Stefan Vandewalle, Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization, Journal of Computational and Applied Mathematics, 2004, 164/165: 797-814.
. Chengjian Zhang, Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations, Mathematical and Computer Modeling, 2004,39 (4-5): 495-503.
. Chengjian Zhang, NGP(a)-stability of General Linear Methods for NDDEs, Computers and Mathematics with Applications, 2004, 47: 1105-1113.
. Chengjian Zhang, Geng Sun, Boundedness and asymptotic stability of multistep methods for general pantograph equations, Journal of Computational Mathematics, 2004, 22(3): 447-456.
. Chengjian Zhang, Convergence analysis for general linear methods applied to stiff delay differential equations, Progress in Natural Science, 2002, 12(6): 414-420.
. Chengjian Zhang, Geng Sun, The Discrete Dynamics of Nonlinear Infinte-Delay-Differential Equations, Applied Mathematics Letters, 2002, 15: 521-526.
. Chengjian Zhang, Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations, Journal of Computational Mathematics, 2002, 20(6), 561-574.
. Chengjian Zhang, Xiaoxin Liao, Stability of BDF Methods for Nonlinear Volterra Integral Equations with Delay, Computers and Mathematics with Applications, 2002, 43(1-2): 95-102.
. Chengjian Zhang, Shuzi Zhou, Xiaoxin Liao, D-convergence and GDN- stability of Runge-Kutta methods, Applied Numerical Mathematics, 2001, 37:161-170.
. Chengjian Zhang, Xiaoxin Liao, Nonlinear stability of (\rho,\sigma)- methods for stiff delay-differential-algebraic systems, Control Theory and Applications, 2001, 18(6): 827-832.
. Chengjian Zhang, Li Shoufu, Dissipativity and exponential asymptotic stability of the solutions for nonlinear neutral functional- differential equations, Applied Mathematics and Computation, 2001, 119: 109-115.
. Chengjian Zhang, Xiaoxin Liao, Asymptotic behavior of multistep Runge-Kutta methods for systems of delay differential equations,Acta Mathematicae Applicatae Sinica, 2001, 17(2): 240-246.
. Chengjian Zhang, Hongbing Yu, A delay differential equations solver based on the parallel Adams methods, Communications in Nonlinear Science and Numerical Simulation, 2001, 6(1): 28-34.
. Chengjian Zhang, Xiaoxin Liao, D-convergence and stability of linear multistep methods for nonlinear DDEs, Journal of Computational Mathematics, 2000, 18(2): 199-206.
. Chengjian Zhang, Shuzi Zhou, Stability analysis of LMM for systems of neutral multidelay-differential equations, Computers and Mathematics with Applications, 1999, 38: 113-117.
. Chengjian Zhang, Shuzi Zhou, The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations, Science in China (Ser. A), 1998, 41(11): 1151-1157.
. Chengjian Zhang, Shuzi Zhou, Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations, Journal of Computational and Applied Mathematics, 1997, 85: 225-237.
. Chengjian Zhang, The nonlinear stability of a class of multistage
one-step multiderivative methods, Journal of Numerical Mathematics and Applications, 1996, 18(3): 56-64.
Awards
. 2015, Special Government Allowances of The State Council;
. 2013, The Prize for Excellent Teaching Achievements of Higher Universities in Hubei Province (First Prize) ;
. 2011, The Prize for Excellent Teachers of Baosteel;
. 2010, Natural Science Prize in Hubei Province (Second Prize) ;
. 2007, Excellent Teaching Staff in Hubei Province;
. 2009, Young and Middle-aged Expert with Outstanding Contributions in
Hubei Province;
. 1997, The Prize for Science and Technology Progress of Ministry of
Machinery Industry in China (Second Prize) .
Courses Taught
. Introduction to Scientific Computing;
. Numerical Algebra;
. Numerical Analysis;
. Numerical Solutions for Partial Differential Equations;
. Numerical Algorithms and Their Theory for Delay Differential Equations;
. Modern Numerical Methods for Differential Equations.
Projects
. January 2016--December 2019: The high-effective boundary value methods and their algorithmic theory for functional differential equations (NSFC 11571128), National Natural Science Foundation of China, Promotor.
. January 2012--December 2015: The numerical dynamics of delay differential equations (NSFC 11171125), National Natural Science Foundation of China, Promotor.
. January 2012--December 2015: The theory and its applications of high performance numerical methods for stochastic differential equations (NSFC 91130003), National Natural Science Foundation of China, Second Promotor.
. January 2012--December 2013: High performance computing for multibody dynamical systems (2011CDB289), National Natural Science Foundation of Hubei, Promotor.
. January 2009--December 2011: The numerical methods and their theory for delay-differential-algebraic systems (NSFC 10871078), National Natural Science Foundation of China, Promotor.
. January 2005--December 2007: The high-effective numerical algorithms for stiff delay differential equations of discrete-distributed type (NSFC 10571066), National Science Natural Foundation of China, Promotor.
. January 2005--December 2005: The high-effective numerical methods for integro-differential equations with memory, Scientific Research Foundation for the Returned Overseas Chinese Scholars, Promotor.
. January 2001--December 2003: The stability of stochastic systems with applications to neural networks (NSFC 60074008), National Natural Science Foundation of China, Collaborator.
. January 2000--December 2002: Simulative algorithms and theory for
stiff-delay systems (NSFC 69974018), National Natural Science Foundation of China, Promotor.
. January 1995-- December 1997: The fast numerical methods for variational inequalities,National Natural Science Foundation of China, Collaborator.
Chinese