## Zhang, Chengjian

Compute Distance To:
 Author ID: zhang.chengjian Published as: Zhang, Chengjian; Zhang, Cheng-Jian; Zhang, C. J.; Zhang, Cheng-jian; Zhang, Cheng Jian more...less External Links: MGP · ResearchGate · dblp
 Documents Indexed: 168 Publications since 1993 Co-Authors: 75 Co-Authors with 146 Joint Publications 2,727 Co-Co-Authors
all top 5

### Co-Authors

 14 single-authored 17 Li, Dongfang 9 Zhang, Qifeng 8 Deng, Dingwen 8 Liao, Xiao Xin 8 Qin, Tingting 8 Zhou, Yongtao 7 Chen, Hao 7 Ran, Maohua 7 Wang, Wansheng 6 Niu, Yuanling 5 Li, Cui 5 Tan, Zengqiang 5 Xiao, Feiyan 5 Zhou, Shuzi 4 Brugnano, Luigi 4 Shi, Wenjie 4 Vandewalle, Stefan G. 4 Wang, Huiru 4 Zhang, Lan 3 Duan, Jinqiao 3 Han, Hao 3 Jin, Jie 3 Yan, Xiaoqiang 3 Zhao, Lu 2 Burrage, Kevin 2 Chen, Huiqin 2 He, Yaoyao 2 Liu, Bochao 2 Sun, Geng 2 Tang, Changyang 2 Wan, Zhengsu 2 Yin, Xiuling 2 Zhao, Dongming 1 Ahmed, Mostak 1 Cao, Dinghua 1 Cao, Waixiang 1 Cheng, Wei 1 Ding, Jianwan 1 Gan, Siqing 1 Gao, Jian 1 Gu, Wei 1 Guo, Ben-Yu 1 Gurioli, Gianmarco 1 Hu, Shigeng 1 Huang, Zhijiao 1 Jiang, Jingyao 1 Li, Li 1 Li, Shoufu 1 Li, Xiaofan 1 Liu, Yanqin 1 Lv, Peng 1 Mei, Ming 1 Qi, Rui 1 Qin, Hongyu 1 Sun, Gen 1 Suzuki, Jorge L. 1 Tang, Yanbin 1 Wang, Leiming 1 Wang, Li 1 Wang, Ming 1 Wen, Jinming 1 Wu, Jingwen 1 Xiao, Aiguo 1 Xu, Dinghua 1 Yang, Meihua 1 Yu, Hongbing 1 Zayernouri, Mohsen 1 Zhang, Baolin 1 Zhang, Jingjing 1 Zhang, Xianwen 1 Zhang, Yangjing 1 Zhang, Yujie 1 Zhang, Zhimin 1 Zhao, Weidong 1 Zhao, Yongxiang
all top 5

### Serials

 16 Applied Mathematics and Computation 15 Applied Numerical Mathematics 10 Mathematica Applicata 9 Journal of Computational Mathematics 8 Computers & Mathematics with Applications 7 Journal of Computational and Applied Mathematics 7 Communications in Nonlinear Science and Numerical Simulation 6 Applied Mathematics Letters 6 Applied Mathematical Modelling 5 Mathematics and Computers in Simulation 5 International Journal of Computer Mathematics 4 Numerical Mathematics 3 Journal of Hunan University 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 Numerical Algorithms 3 Journal on Numerical Methods and Computer Applications 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Mathematical Analysis and Applications 2 Kybernetika 2 Mathematica Numerica Sinica 2 Acta Mathematicae Applicatae Sinica 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Numerical Linear Algebra with Applications 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Science China. Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 IMA Journal of Numerical Analysis 1 Mathematical Methods in the Applied Sciences 1 Calcolo 1 Computing 1 Numerische Mathematik 1 Journal of Engineering Mathematics (Xi’an) 1 Journal of Systems Science and Mathematical Sciences 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 SIAM Journal on Scientific Computing 1 Advances in Computational Mathematics 1 Chinese Journal of Numerical Mathematics and Applications 1 Journal of Difference Equations and Applications 1 Abstract and Applied Analysis 1 Journal of Hunan University. Natural Sciences 1 Progress in Natural Science 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Control Theory & Applications 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Stochastics and Dynamics 1 International Journal of Numerical Analysis and Modeling 1 Frontiers of Mathematics in China 1 Communications in Computational Physics 1 Numerical Mathematics: Theory, Methods and Applications 1 Universal Journal of Mathematics and Mathematical Sciences 1 East Asian Journal on Applied Mathematics
all top 5

### Fields

 152 Numerical analysis (65-XX) 72 Ordinary differential equations (34-XX) 39 Partial differential equations (35-XX) 24 Integral equations (45-XX) 21 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Fluid mechanics (76-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

129 Publications have been cited 1,291 times in 644 Documents Cited by Year
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
2004
General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
2006
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117
Zhang, Chengjian; Vandewalle, Stefan
2004
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
2012
Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations. Zbl 0904.65082
Zhang, Chengjian; Zhou, Shuzi
1997
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
2016
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
2011
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Zbl 1193.65140
Wang, Wansheng; Zhang, Chengjian
2010
An analysis of stability of Milstein method for stochastic differential equations with delay. Zbl 1136.65009
Wang, Zhiyong; Zhang, Chengjian
2006
Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations. Zbl 1018.65101
Zhang, Chengjian
2002
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
2016
Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101
Zhang, Chengjian; Vandewalle, Stefan
2008
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
2010
Asymptotic stability of block boundary value methods for delay differential-algebraic equations. Zbl 1213.65110
Zhang, Chengjian; Chen, Hao
2010
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
2012
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
2011
The extended one-leg methods for nonlinear neutral delay-integro-differential equations. Zbl 1163.65052
Zhang, Chengjian; He, Yaoyao
2009
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
2013
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
2012
The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations. Zbl 0924.65079
Zhang, Chengjian; Zhou, Shuzi
1998
$$L^\infty$$ error estimates of discontinuous Galerkin methods for delay differential equations. Zbl 1291.65252
Li, Dongfang; Zhang, Chengjian
2014
Stability analysis of LMMs for systems of neutral multidelay-differential equations. Zbl 0940.65085
Zhang, C. J.; Zhou, S. Z.
1999
Dissipativity and exponentially asymptotic stability of the solutions for nonlinear neutral functional-differential equations. Zbl 1030.34067
Zhang, Cheng-Jian; Li, Shou-Fu
2001
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
2016
Block boundary value methods applied to functional differential equations with piecewise continuous arguments. Zbl 1358.65042
Li, Cui; Zhang, Chengjian
2017
A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations. Zbl 1256.65084
Zhang, Qifeng; Zhang, Chengjian
2013
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
2011
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order. Zbl 1393.65015
Ran, Maohua; Zhang, Chengjian
2018
The discrete dynamics of nonlinear infinite-delay-differential equations. Zbl 1001.65091
Zhang, Chengjian; Sun, Gen
2002
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
2011
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
2016
Split Newton iterative algorithm and its application. Zbl 1202.65066
Li, Dongfang; Zhang, Chengjian
2010
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. Zbl 1249.65165
Zhang, Chengjian; Chen, Hao; Wang, Leiming
2011
Nonlinear stability of discontinuous Galerkin methods for delay differential equations. Zbl 1191.65111
Li, Dongfang; Zhang, Chengjian
2010
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
2012
A note on compact finite difference method for reaction-diffusion equations with delay. Zbl 1443.65132
Li, Dongfang; Zhang, Chengjian; Wen, Jinming
2015
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
2017
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
2012
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
2013
Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives. Zbl 1404.62080
Zhou, Yongtao; Zhang, Chengjian
2019
Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations. Zbl 1068.65106
Zhang, Chengjian; Sun, Geng
2004
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
2020
D-convergence and GDN-stability of Runge-Kutta methods for a class of delay systems. Zbl 0976.65072
Zhang, C. J.; Zhou, S. Z.; Liao, X. X.
2001
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator. Zbl 1470.65205
Brugnano, Luigi; Zhang, Chengjian; Li, Dongfang
2018
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
2012
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
2013
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
2018
Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and Markovian switching. Zbl 1373.34122
Xie, Ying; Zhang, Chengjian
2017
Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations. Zbl 1432.65119
Deng, Dingwen; Zhang, Chengjian
2015
Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. Zbl 1328.65160
Qin, Tingting; Zhang, Chengjian
2015
An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations. Zbl 1177.65197
Zhang, Chengjian; Qin, Tingting; Jin, Jie
2009
Analytical and numerical dissipativity for nonlinear generalized pantograph equations. Zbl 1225.65068
Wang, Wansheng; Zhang, Chengjian
2011
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
2019
Stability of BDF methods for nonlinear Volterra integral equations with delay. Zbl 1007.65112
Zhang, C. J.; Liao, X. X.
2002
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. Zbl 1432.65103
Zhang, Chengjian; Li, Cui
2018
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
2020
Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. Zbl 1255.65154
Chen, Hao; Zhang, Chengjian
2012
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
2013
Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions. Zbl 1443.65138
Ran, Maohua; Zhang, Chengjian
2016
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
2015
D-convergence and stability of a class of linear multistep methods for nonlinear DDEs. Zbl 0956.65067
Zhang, Chengjian; Liao, Xiaoxin
2000
Boundedness and asymptotic stability of multistep methods for generalized pantograph equations. Zbl 1054.65083
Zhang, Chengjian; Sun, Geng
2004
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
2016
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
2012
Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1358.65082
Qi, Rui; Zhang, Cheng-jian; Zhang, Yu-jie
2012
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
2011
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
2011
The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. Zbl 1203.65289
Zhang, Chengjian; Qin, Tingting; Jin, Jie
2010
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
2017
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
2020
Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Zbl 1427.65103
Tan, Zengqiang; Zhang, Chengjian
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
2018
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
2015
NGP($$\alpha$$)-stability of general linear methods for NDDEs. Zbl 1073.65075
Zhang, Chengjian
2004
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
2015
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
2019
Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs. Zbl 1410.65262
Li, Dongfang; Zhang, Chengjian
2016
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
2017
Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments. Zbl 1469.65034
Xie, Ying; Zhang, Chengjian
2020
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
2014
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. Zbl 1288.65010
Niu, Yuanling; Burrage, Kevin; Zhang, Chengjian
2013
Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables. Zbl 1269.65078
Deng, Dingwen; Zhang, Chengjian
2013
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
2019
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
2013
Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations. Zbl 1292.93121
Niu, Yuanling; Zhang, Chengjian
2012
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 06969459
Xie, Ying; Zhang, Chengjian
2019
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
2019
A high-order accuracy method for solving the fractional diffusion equations. Zbl 1463.65241
Ran, Maohua; Zhang, Chengjian
2020
An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. Zbl 1446.65145
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
2020
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
2017
The stability relation between ordinary and delay-integro-differential equations. Zbl 1173.34044
Zhang, Chengjian; Niu, Yuanling
2009
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 07198419
Yan, Xiaoqiang; Zhang, Chengjian
2020
A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations. Zbl 1237.65146
Zhang, Chengjian
2012
Convergence of one-leg methods for a class of variable retarded differential algebraic equations. Zbl 1199.65260
Xiao, Feiyan; Zhang, Chengjian
2008
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2014
Optimal error estimates of a linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki equations. Zbl 1473.65310
Li, Dongfang; Cao, Waixiang; Zhang, Chengjian; Zhang, Zhimin
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2019
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
2020
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. Zbl 07471995
Zhang, Chengjian; Wang, Wansheng; Liu, Bochao; Qin, Tingting
2018
One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. Zbl 07474634
Zhang, Chengjian; Tang, Changyang
2022
Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. Zbl 1490.65163
Zhang, Qifeng; Liu, Lingling; Zhang, Chengjian
2022
Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations. Zbl 07351768
Han, Hao; Zhang, Chengjian
2021
The discrete maximum principle and energy stability of a new second-order difference scheme for Allen-Cahn equations. Zbl 1469.35200
Tan, Zengqiang; Zhang, Chengjian
2021
Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments. Zbl 1469.65114
Zhang, Chengjian; Yan, Xiaoqiang
2021
Boundary value methods for Caputo fractional differential equations. Zbl 1474.65237
Zhou, Yongtao; Zhang, Chengjian; Wang, Huiru
2021
Dissipativity of variable-stepsize Runge-Kutta methods for nonlinear functional differential equations with application to Nicholson’s blowflies models. Zbl 07323666
Wang, Wansheng; Zhang, Chengjian
2021
A fully discrete $$\theta$$-method for solving semi-linear reaction-diffusion equations with time-variable delay. Zbl 07318165
Tang, Changyang; Zhang, Chengjian
2021
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
2020
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
2020
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
2020
Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments. Zbl 1469.65034
Xie, Ying; Zhang, Chengjian
2020
A high-order accuracy method for solving the fractional diffusion equations. Zbl 1463.65241
Ran, Maohua; Zhang, Chengjian
2020
An implicit difference scheme with the KPS preconditioner for two-dimensional time-space fractional convection-diffusion equations. Zbl 1446.65145
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
2020
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 07198419
Yan, Xiaoqiang; Zhang, Chengjian
2020
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
2020
Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods. Zbl 1480.65159
Tan, Zengqiang; Zhang, Chengjian
2020
Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives. Zbl 1404.62080
Zhou, Yongtao; Zhang, Chengjian
2019
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
2019
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
2019
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 06969459
Xie, Ying; Zhang, Chengjian
2019
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
2019
Optimal error estimates of a linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki equations. Zbl 1473.65310
Li, Dongfang; Cao, Waixiang; Zhang, Chengjian; Zhang, Zhimin
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2019
Solving nonlinear second-order delay initial value problems via the adapted generalized Störmer-Cowell methods. Zbl 1437.65069
Zhang, Chengjian; Wang, Huiru
2019
A general class of one-step approximation for index-1 stochastic delay-differential-algebraic equations. Zbl 1438.60093
Qin, Tingting; Zhang, Chengjian
2019
One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. Zbl 1429.65150
Zhou, Yongtao; Zhang, Chengjian
2019
New compact difference scheme for solving the fourth-order time fractional sub-diffusion equation of the distributed order. Zbl 1393.65015
Ran, Maohua; Zhang, Chengjian
2018
A class of energy-conserving Hamiltonian boundary value methods for nonlinear Schrödinger equation with wave operator. Zbl 1470.65205
Brugnano, Luigi; Zhang, Chengjian; Li, Dongfang
2018
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
2018
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. Zbl 1432.65103
Zhang, Chengjian; Li, Cui
2018
Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Zbl 1427.65103
Tan, Zengqiang; Zhang, Chengjian
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
2018
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. Zbl 07471995
Zhang, Chengjian; Wang, Wansheng; Liu, Bochao; Qin, Tingting
2018
An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays. Zbl 1427.34100
Li, Cui; Zhang, Chengjian
2018
Block boundary value methods applied to functional differential equations with piecewise continuous arguments. Zbl 1358.65042
Li, Cui; Zhang, Chengjian
2017
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
2017
Asymptotical boundedness and moment exponential stability for stochastic neutral differential equations with time-variable delay and Markovian switching. Zbl 1373.34122
Xie, Ying; Zhang, Chengjian
2017
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
2017
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
2017
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
2017
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
2016
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
2016
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
2016
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
2016
Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions. Zbl 1443.65138
Ran, Maohua; Zhang, Chengjian
2016
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
2016
Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs. Zbl 1410.65262
Li, Dongfang; Zhang, Chengjian
2016
Generalized polynomial chaos for nonlinear random pantograph equations. Zbl 1360.65204
Shi, Wen-Jie; Zhang, Cheng-Jian
2016
A note on compact finite difference method for reaction-diffusion equations with delay. Zbl 1443.65132
Li, Dongfang; Zhang, Chengjian; Wen, Jinming
2015
Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations. Zbl 1432.65119
Deng, Dingwen; Zhang, Chengjian
2015
Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. Zbl 1328.65160
Qin, Tingting; Zhang, Chengjian
2015
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
2015
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
2015
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
2015
An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations. Zbl 1410.65247
Ding, Jianwan; Zhang, Chengjian
2015
$$L^\infty$$ error estimates of discontinuous Galerkin methods for delay differential equations. Zbl 1291.65252
Li, Dongfang; Zhang, Chengjian
2014
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
2014
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2014
Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. Zbl 1304.65196
Zhang, Qifeng; Zhang, Chengjian; Deng, Dingwen
2014
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
2013
A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations. Zbl 1256.65084
Zhang, Qifeng; Zhang, Chengjian
2013
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
2013
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
2013
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
2013
A derivative-free explicit method with order 1.0 for solving stochastic delay differential equations. Zbl 1288.65010
Niu, Yuanling; Burrage, Kevin; Zhang, Chengjian
2013
Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables. Zbl 1269.65078
Deng, Dingwen; Zhang, Chengjian
2013
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
2013
Mean-square stability of Milstein methods for stochastic pantograph equations. Zbl 1299.60082
Xiao, Feiyan; Qin, Tingting; Zhang, Chengjian
2013
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
2012
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
2012
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
2012
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
2012
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
2012
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
2012
Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. Zbl 1255.65154
Chen, Hao; Zhang, Chengjian
2012
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
2012
Dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1358.65082
Qi, Rui; Zhang, Cheng-jian; Zhang, Yu-jie
2012
Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations. Zbl 1292.93121
Niu, Yuanling; Zhang, Chengjian
2012
A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations. Zbl 1237.65146
Zhang, Chengjian
2012
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
2011
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
2011
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
2011
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
2011
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. Zbl 1249.65165
Zhang, Chengjian; Chen, Hao; Wang, Leiming
2011
Analytical and numerical dissipativity for nonlinear generalized pantograph equations. Zbl 1225.65068
Wang, Wansheng; Zhang, Chengjian
2011
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
2011
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
2011
A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations. Zbl 1249.65007
Niu, Yuanling; Zhang, Chengjian; Duan, Jinqiao
2011
A computational analysis for mean exit time under non-Gaussian Lévy noises. Zbl 1252.65011
Chen, Huiqin; Duan, Jinqiao; Li, Xiaofan; Zhang, Chengjian
2011
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Zbl 1193.65140
Wang, Wansheng; Zhang, Chengjian
2010
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
2010
Asymptotic stability of block boundary value methods for delay differential-algebraic equations. Zbl 1213.65110
Zhang, Chengjian; Chen, Hao
2010
Split Newton iterative algorithm and its application. Zbl 1202.65066
Li, Dongfang; Zhang, Chengjian
2010
Nonlinear stability of discontinuous Galerkin methods for delay differential equations. Zbl 1191.65111
Li, Dongfang; Zhang, Chengjian
2010
The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. Zbl 1203.65289
Zhang, Chengjian; Qin, Tingting; Jin, Jie
2010
Control of a class of chaotic systems by a stochastic delay method. Zbl 1201.60061
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
2010
Convergence analysis of Runge-Kutta methods for a class of retarded differential algebraic systems. Zbl 1224.65189
Xiao, Feiyan; Zhang, Chengjian
2010
...and 29 more Documents
all top 5

### Cited by 818 Authors

 79 Zhang, Chengjian 36 Wang, Wansheng 31 Li, Shoufu 27 Wen, Liping 25 Li, Dongfang 21 Huang, Chengming 18 Xu, Yang 18 Zhao, Jingjun 15 Yu, Yuexin 13 Deng, Dingwen 13 Zhang, Qifeng 11 Gan, Siqing 11 Xiao, Aiguo 10 Qin, Hongyu 10 Ran, Maohua 9 Hendy, Ahmed S. 9 Wu, Fengyan 9 Zhou, Yongtao 8 Cheng, Xiujun 8 Cong, Yuhao 8 Xie, Jianqiang 8 Zhang, Gengen 8 Zhang, Zhiyue 7 Cortés López, Juan Carlos 7 Ding, Xiaohua 7 Duan, Jinqiao 7 Jornet, Marc 7 Li, Meng 7 Macías-Díaz, Jorge Eduardo 6 Calatayud, Julia 6 Fu, Yayun 6 Qin, Tingting 6 Wang, Ming 6 Wang, Nan 6 Yi, Lijun 5 Chen, Hao 5 Chen, Xiaoli 5 Chen, Yanping 5 Hu, Dongdong 5 Li, Cui 5 Li, Hong 5 Liang, Dong 5 Liao, Xiao Xin 5 Liu, Yang 5 Shah, Kamal 5 She, Mianfu 5 Wang, Renhai 5 Yan, Xiaoqiang 5 Zaky, Mahmoud A. 5 Zhang, Jiwei 5 Zhao, Yongliang 4 Amin, Rohul 4 Amiraliyev, Gabil M. 4 Brugnano, Luigi 4 Fei, Mingfa 4 Gu, Wei 4 Hu, Guangda 4 Hu, Peng 4 Li, Lili 4 Liu, Hongliang 4 Ma, Junjie 4 Mao, Xuerong 4 Pan, Kejia 4 Pimenov, Vladimir Germanovich 4 Rathinasamy, Anandaraman 4 Shi, Wenjie 4 Tan, Zengqiang 4 Wang, Bixiang 4 Wang, Huiru 4 Wang, Lina 4 Wang, Yushun 4 Wen, Jinming 4 Yuan, Haiyan 4 Zayernouri, Mohsen 3 Ahmad, Israr 3 Balachandran, Krishnan 3 Brunner, Hermann 3 Cai, Wenjun 3 Cao, Wanrong 3 Cao, Yang 3 Chang, Qianshun 3 Dai, Xinjie 3 Dehghan Takht Fooladi, Mehdi 3 Gao, Zheng 3 Gu, Xian-Ming 3 Han, Hao 3 Hu, Junhao 3 Huang, Jianfei 3 Huang, Qiumei 3 Ikhile, Monday Ndidi Oziegbe 3 Jiang, Xingzhou 3 Jiang, Yaolin 3 Jiang, Zhaolin 3 Kuang, Jiaoxun 3 Li, Dingshi 3 Lin, Ji 3 Ma, Qiang 3 Nandal, Sarita 3 Ogunfeyitimi, S. E. 3 Owolabi, Kolade Matthew ...and 718 more Authors
all top 5

### Cited in 113 Serials

 95 Applied Mathematics and Computation 51 Journal of Computational and Applied Mathematics 45 Applied Numerical Mathematics 35 International Journal of Computer Mathematics 27 Mathematics and Computers in Simulation 25 Computers & Mathematics with Applications 23 Journal of Scientific Computing 17 Computational and Applied Mathematics 17 Communications in Nonlinear Science and Numerical Simulation 16 Numerical Algorithms 15 Applied Mathematics Letters 14 Abstract and Applied Analysis 11 Chaos, Solitons and Fractals 10 Journal of Mathematical Analysis and Applications 10 Advances in Difference Equations 8 Applied Mathematical Modelling 8 Journal of Applied Mathematics and Computing 7 Calcolo 7 Journal of Difference Equations and Applications 7 Discrete and Continuous Dynamical Systems. Series B 7 Advances in Applied Mathematics and Mechanics 7 Journal of Function Spaces 6 Journal of Applied Mathematics 5 BIT 5 Acta Mathematicae Applicatae Sinica. English Series 5 SIAM Journal on Scientific Computing 5 Discrete Dynamics in Nature and Society 5 Frontiers of Mathematics in China 4 Proceedings of the American Mathematical Society 4 Mathematical and Computer Modelling 4 Engineering Analysis with Boundary Elements 4 Chaos 4 Boundary Value Problems 4 Communications in Computational Physics 3 Applicable Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Science in China. Series A 3 Advances in Computational Mathematics 3 Discrete and Continuous Dynamical Systems 3 Nonlinear Analysis. Hybrid Systems 3 Advances in Mathematical Physics 3 East Asian Journal on Applied Mathematics 3 Electronic Research Archive 2 Journal of Computational Physics 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 Mathematics of Computation 2 Journal of Differential Equations 2 Numerische Mathematik 2 Mathematica Numerica Sinica 2 Journal of Dynamics and Differential Equations 2 Numerical Linear Algebra with Applications 2 Complexity 2 Mathematical Problems in Engineering 2 Journal of Inequalities and Applications 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Mediterranean Journal of Mathematics 2 Journal of Statistical Mechanics: Theory and Experiment 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Symmetry 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Advances in Nonlinear Analysis 2 International Journal of Applied and Computational Mathematics 2 AIMS Mathematics 2 Communications on Applied Mathematics and Computation 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Methods in the Applied Sciences 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 Kybernetika 1 Nagoya Mathematical Journal 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Journal of Integral Equations and Applications 1 Stochastic Processes and their Applications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Numerical Methods in Engineering 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 Fractional Calculus & Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Nonlinear Analysis. Modelling and Control 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Stochastics and Dynamics 1 Hacettepe Journal of Mathematics and Statistics 1 Mathematical Biosciences and Engineering ...and 13 more Serials
all top 5

### Cited in 32 Fields

 533 Numerical analysis (65-XX) 206 Partial differential equations (35-XX) 183 Ordinary differential equations (34-XX) 83 Integral equations (45-XX) 70 Probability theory and stochastic processes (60-XX) 43 Real functions (26-XX) 31 Dynamical systems and ergodic theory (37-XX) 25 Fluid mechanics (76-XX) 22 Biology and other natural sciences (92-XX) 17 Systems theory; control (93-XX) 11 Approximations and expansions (41-XX) 10 Difference and functional equations (39-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 5 Operator theory (47-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 5 Quantum theory (81-XX) 4 Mechanics of deformable solids (74-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Number theory (11-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Operations research, mathematical programming (90-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)