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Author ID: zhang.chengjian Recent zbMATH articles by "Zhang, Chengjian"
Published as: Zhang, Chengjian; Zhang, Cheng-Jian; Zhang, C. J.; Zhang, Cheng-jian; Zhang, Cheng Jian
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
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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

Publications by Year

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
55
2004
General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
50
2006
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117
Zhang, Chengjian; Vandewalle, Stefan
38
2004
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
37
2012
Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations. Zbl 0904.65082
Zhang, Chengjian; Zhou, Shuzi
36
1997
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
33
2016
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
31
2011
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Zbl 1193.65140
Wang, Wansheng; Zhang, Chengjian
30
2010
An analysis of stability of Milstein method for stochastic differential equations with delay. Zbl 1136.65009
Wang, Zhiyong; Zhang, Chengjian
30
2006
Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations. Zbl 1018.65101
Zhang, Chengjian
26
2002
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
26
2016
Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101
Zhang, Chengjian; Vandewalle, Stefan
26
2008
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
25
2010
Asymptotic stability of block boundary value methods for delay differential-algebraic equations. Zbl 1213.65110
Zhang, Chengjian; Chen, Hao
22
2010
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
22
2012
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
22
2011
The extended one-leg methods for nonlinear neutral delay-integro-differential equations. Zbl 1163.65052
Zhang, Chengjian; He, Yaoyao
22
2009
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
21
2013
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
20
2012
The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations. Zbl 0924.65079
Zhang, Chengjian; Zhou, Shuzi
20
1998
\(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations. Zbl 1291.65252
Li, Dongfang; Zhang, Chengjian
20
2014
Stability analysis of LMMs for systems of neutral multidelay-differential equations. Zbl 0940.65085
Zhang, C. J.; Zhou, S. Z.
19
1999
Dissipativity and exponentially asymptotic stability of the solutions for nonlinear neutral functional-differential equations. Zbl 1030.34067
Zhang, Cheng-Jian; Li, Shou-Fu
19
2001
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
19
2016
Block boundary value methods applied to functional differential equations with piecewise continuous arguments. Zbl 1358.65042
Li, Cui; Zhang, Chengjian
19
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
19
2013
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
19
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
18
2018
The discrete dynamics of nonlinear infinite-delay-differential equations. Zbl 1001.65091
Zhang, Chengjian; Sun, Gen
18
2002
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
17
2011
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
17
2016
Split Newton iterative algorithm and its application. Zbl 1202.65066
Li, Dongfang; Zhang, Chengjian
17
2010
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. Zbl 1249.65165
Zhang, Chengjian; Chen, Hao; Wang, Leiming
16
2011
Nonlinear stability of discontinuous Galerkin methods for delay differential equations. Zbl 1191.65111
Li, Dongfang; Zhang, Chengjian
16
2010
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
15
2012
A note on compact finite difference method for reaction-diffusion equations with delay. Zbl 1443.65132
Li, Dongfang; Zhang, Chengjian; Wen, Jinming
15
2015
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
14
2017
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
13
2012
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
12
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
12
2019
Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations. Zbl 1068.65106
Zhang, Chengjian; Sun, Geng
12
2004
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
12
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.
11
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
11
2018
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
10
2012
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
10
2013
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
9
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
9
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
9
2015
Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. Zbl 1328.65160
Qin, Tingting; Zhang, Chengjian
8
2015
An improvement of the numerical stability results for nonlinear neutral delay-integro-differential equations. Zbl 1177.65197
Zhang, Chengjian; Qin, Tingting; Jin, Jie
8
2009
Analytical and numerical dissipativity for nonlinear generalized pantograph equations. Zbl 1225.65068
Wang, Wansheng; Zhang, Chengjian
8
2011
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
8
2019
Stability of BDF methods for nonlinear Volterra integral equations with delay. Zbl 1007.65112
Zhang, C. J.; Liao, X. X.
8
2002
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. Zbl 1432.65103
Zhang, Chengjian; Li, Cui
7
2018
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
7
2020
Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. Zbl 1255.65154
Chen, Hao; Zhang, Chengjian
7
2012
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
7
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
7
2016
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
6
2015
D-convergence and stability of a class of linear multistep methods for nonlinear DDEs. Zbl 0956.65067
Zhang, Chengjian; Liao, Xiaoxin
6
2000
Boundedness and asymptotic stability of multistep methods for generalized pantograph equations. Zbl 1054.65083
Zhang, Chengjian; Sun, Geng
6
2004
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
6
2016
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
6
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
6
2012
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
6
2011
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
5
2011
The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. Zbl 1203.65289
Zhang, Chengjian; Qin, Tingting; Jin, Jie
5
2010
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
5
2017
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
5
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
5
2020
Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Zbl 1427.65103
Tan, Zengqiang; Zhang, Chengjian
5
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
5
2018
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
5
2015
NGP(\(\alpha\))-stability of general linear methods for NDDEs. Zbl 1073.65075
Zhang, Chengjian
4
2004
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
4
2015
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
4
2019
Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs. Zbl 1410.65262
Li, Dongfang; Zhang, Chengjian
4
2016
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
4
2017
Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments. Zbl 1469.65034
Xie, Ying; Zhang, Chengjian
4
2020
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
4
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
4
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
4
2013
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
4
2019
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
3
2013
Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations. Zbl 1292.93121
Niu, Yuanling; Zhang, Chengjian
3
2012
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 06969459
Xie, Ying; Zhang, Chengjian
3
2019
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
3
2019
A high-order accuracy method for solving the fractional diffusion equations. Zbl 1463.65241
Ran, Maohua; Zhang, Chengjian
3
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
3
2020
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
3
2017
The stability relation between ordinary and delay-integro-differential equations. Zbl 1173.34044
Zhang, Chengjian; Niu, Yuanling
3
2009
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 07198419
Yan, Xiaoqiang; Zhang, Chengjian
3
2020
A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations. Zbl 1237.65146
Zhang, Chengjian
2
2012
Convergence of one-leg methods for a class of variable retarded differential algebraic equations. Zbl 1199.65260
Xiao, Feiyan; Zhang, Chengjian
2
2008
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2
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
2
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2
2019
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
2
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
2
2018
One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. Zbl 07474634
Zhang, Chengjian; Tang, Changyang
1
2022
Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. Zbl 1490.65163
Zhang, Qifeng; Liu, Lingling; Zhang, Chengjian
1
2022
Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations. Zbl 07351768
Han, Hao; Zhang, Chengjian
1
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
1
2021
Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments. Zbl 1469.65114
Zhang, Chengjian; Yan, Xiaoqiang
1
2021
Boundary value methods for Caputo fractional differential equations. Zbl 1474.65237
Zhou, Yongtao; Zhang, Chengjian; Wang, Huiru
1
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
1
2021
A fully discrete \(\theta \)-method for solving semi-linear reaction-diffusion equations with time-variable delay. Zbl 07318165
Tang, Changyang; Zhang, Chengjian
1
2021
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
12
2020
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
7
2020
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
5
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
5
2020
Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments. Zbl 1469.65034
Xie, Ying; Zhang, Chengjian
4
2020
A high-order accuracy method for solving the fractional diffusion equations. Zbl 1463.65241
Ran, Maohua; Zhang, Chengjian
3
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
3
2020
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 07198419
Yan, Xiaoqiang; Zhang, Chengjian
3
2020
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
2
2020
Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods. Zbl 1480.65159
Tan, Zengqiang; Zhang, Chengjian
2
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
12
2019
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
8
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
4
2019
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
4
2019
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 06969459
Xie, Ying; Zhang, Chengjian
3
2019
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
3
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
2
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2
2019
Solving nonlinear second-order delay initial value problems via the adapted generalized Störmer-Cowell methods. Zbl 1437.65069
Zhang, Chengjian; Wang, Huiru
2
2019
A general class of one-step approximation for index-1 stochastic delay-differential-algebraic equations. Zbl 1438.60093
Qin, Tingting; Zhang, Chengjian
1
2019
One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. Zbl 1429.65150
Zhou, Yongtao; Zhang, Chengjian
1
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
18
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
11
2018
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
9
2018
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. Zbl 1432.65103
Zhang, Chengjian; Li, Cui
7
2018
Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Zbl 1427.65103
Tan, Zengqiang; Zhang, Chengjian
5
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
5
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
2
2018
An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays. Zbl 1427.34100
Li, Cui; Zhang, Chengjian
1
2018
Block boundary value methods applied to functional differential equations with piecewise continuous arguments. Zbl 1358.65042
Li, Cui; Zhang, Chengjian
19
2017
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
14
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
9
2017
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
5
2017
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
4
2017
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
3
2017
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
33
2016
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
26
2016
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
19
2016
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
17
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
7
2016
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
6
2016
Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs. Zbl 1410.65262
Li, Dongfang; Zhang, Chengjian
4
2016
Generalized polynomial chaos for nonlinear random pantograph equations. Zbl 1360.65204
Shi, Wen-Jie; Zhang, Cheng-Jian
1
2016
A note on compact finite difference method for reaction-diffusion equations with delay. Zbl 1443.65132
Li, Dongfang; Zhang, Chengjian; Wen, Jinming
15
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
9
2015
Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. Zbl 1328.65160
Qin, Tingting; Zhang, Chengjian
8
2015
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
6
2015
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
5
2015
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
4
2015
An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations. Zbl 1410.65247
Ding, Jianwan; Zhang, Chengjian
1
2015
\(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations. Zbl 1291.65252
Li, Dongfang; Zhang, Chengjian
20
2014
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
4
2014
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
2
2014
Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. Zbl 1304.65196
Zhang, Qifeng; Zhang, Chengjian; Deng, Dingwen
2
2014
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
21
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
19
2013
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
12
2013
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
10
2013
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
7
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
4
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
4
2013
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
3
2013
Mean-square stability of Milstein methods for stochastic pantograph equations. Zbl 1299.60082
Xiao, Feiyan; Qin, Tingting; Zhang, Chengjian
1
2013
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
37
2012
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
22
2012
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
20
2012
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
15
2012
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
13
2012
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
10
2012
Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. Zbl 1255.65154
Chen, Hao; Zhang, Chengjian
7
2012
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
6
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
6
2012
Almost sure and moment exponential stability of predictor-corrector methods for stochastic differential equations. Zbl 1292.93121
Niu, Yuanling; Zhang, Chengjian
3
2012
A class of new Pouzet-Runge-Kutta-type methods for nonlinear functional integro-differential equations. Zbl 1237.65146
Zhang, Chengjian
2
2012
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
31
2011
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
22
2011
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
19
2011
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
17
2011
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. Zbl 1249.65165
Zhang, Chengjian; Chen, Hao; Wang, Leiming
16
2011
Analytical and numerical dissipativity for nonlinear generalized pantograph equations. Zbl 1225.65068
Wang, Wansheng; Zhang, Chengjian
8
2011
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
6
2011
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
5
2011
A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations. Zbl 1249.65007
Niu, Yuanling; Zhang, Chengjian; Duan, Jinqiao
1
2011
A computational analysis for mean exit time under non-Gaussian Lévy noises. Zbl 1252.65011
Chen, Huiqin; Duan, Jinqiao; Li, Xiaofan; Zhang, Chengjian
1
2011
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Zbl 1193.65140
Wang, Wansheng; Zhang, Chengjian
30
2010
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
25
2010
Asymptotic stability of block boundary value methods for delay differential-algebraic equations. Zbl 1213.65110
Zhang, Chengjian; Chen, Hao
22
2010
Split Newton iterative algorithm and its application. Zbl 1202.65066
Li, Dongfang; Zhang, Chengjian
17
2010
Nonlinear stability of discontinuous Galerkin methods for delay differential equations. Zbl 1191.65111
Li, Dongfang; Zhang, Chengjian
16
2010
The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. Zbl 1203.65289
Zhang, Chengjian; Qin, Tingting; Jin, Jie
5
2010
Control of a class of chaotic systems by a stochastic delay method. Zbl 1201.60061
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
1
2010
Convergence analysis of Runge-Kutta methods for a class of retarded differential algebraic systems. Zbl 1224.65189
Xiao, Feiyan; Zhang, Chengjian
1
2010
...and 29 more Documents
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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
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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
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2 Journal of Differential Equations
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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
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