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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: 179 Publications since 1993
Co-Authors: 80 Co-Authors with 156 Joint Publications
2,917 Co-Co-Authors
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
8 Communications in Nonlinear Science and Numerical Simulation
7 Journal of Computational and Applied Mathematics
7 Applied Mathematics Letters
6 Mathematics and Computers in Simulation
6 Applied Mathematical Modelling
5 International Journal of Computer Mathematics
4 Numerical Mathematics
4 Numerical Methods for Partial Differential Equations
4 Acta Mathematica Scientia. Series B. (English Edition)
3 Journal of Hunan University
3 Acta Mathematicae Applicatae Sinica. English Series
3 Mathematical and Computer Modelling
3 Journal of Scientific Computing
3 Numerical Algorithms
3 Journal on Numerical Methods and Computer Applications
3 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Journal of Mathematical Analysis and Applications
2 Kybernetika
2 Mathematica Numerica Sinica
2 Acta Mathematicae Applicatae Sinica
2 Numerical Linear Algebra with Applications
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Numerical Mathematics: Theory, Methods and Applications
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 Physica D
1 Journal of Systems Science and Mathematical Sciences
1 Hunan Annals of Mathematics
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 Advances in Applied Mathematics and Mechanics
1 Universal Journal of Mathematics and Mathematical Sciences
1 East Asian Journal on Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

135 Publications have been cited 1,758 times in 896 Documents Cited by Year
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
74
2016
Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. Zbl 1057.65104
Zhang, Chengjian; Vandewalle, Stefan
60
2004
General linear methods for Volterra integro-differential equations with memory. Zbl 1104.65133
Zhang, Chengjian; Vandewalle, Stefan
55
2006
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
54
2016
Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization. Zbl 1047.65117
Zhang, Chengjian; Vandewalle, Stefan
44
2004
Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations. Zbl 0904.65082
Zhang, Chengjian; Zhou, Shuzi
39
1997
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
39
2012
Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. Zbl 1193.65140
Wang, Wansheng; Zhang, Chengjian
38
2010
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
36
2011
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
35
2018
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
35
2011
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
33
2013
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
33
2016
An analysis of stability of Milstein method for stochastic differential equations with delay. Zbl 1136.65009
Wang, Zhiyong; Zhang, Chengjian
33
2006
A note on compact finite difference method for reaction-diffusion equations with delay. Zbl 1443.65132
Li, Dongfang; Zhang, Chengjian; Wen, Jinming
32
2015
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
32
2018
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
28
2010
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
28
2013
Nonlinear stability of natural Runge-Kutta methods for neutral delay differential equations. Zbl 1018.65101
Zhang, Chengjian
27
2002
Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations. Zbl 1154.65101
Zhang, Chengjian; Vandewalle, Stefan
27
2008
Asymptotic stability of block boundary value methods for delay differential-algebraic equations. Zbl 1213.65110
Zhang, Chengjian; Chen, Hao
25
2010
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
25
2012
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
24
2012
Analysis and application of a compact multistep ADI solver for a class of nonlinear viscous wave equations. Zbl 1432.65119
Deng, Dingwen; Zhang, Chengjian
23
2015
Block boundary value methods applied to functional differential equations with piecewise continuous arguments. Zbl 1358.65042
Li, Cui; Zhang, Chengjian
23
2017
The extended one-leg methods for nonlinear neutral delay-integro-differential equations. Zbl 1163.65052
Zhang, Chengjian; He, Yaoyao
23
2009
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
23
2020
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
22
2016
\(L^\infty\) error estimates of discontinuous Galerkin methods for delay differential equations. Zbl 1291.65252
Li, Dongfang; Zhang, Chengjian
22
2014
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
22
2011
The discrete dynamics of nonlinear infinite-delay-differential equations. Zbl 1001.65091
Zhang, Chengjian; Sun, Gen
21
2002
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
21
2011
The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations. Zbl 0924.65079
Zhang, Chengjian; Zhou, Shuzi
20
1998
Dissipativity and exponentially asymptotic stability of the solutions for nonlinear neutral functional-differential equations. Zbl 1030.34067
Zhang, Cheng-Jian; Li, Shou-Fu
20
2001
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
20
2017
Stability analysis of LMMs for systems of neutral multidelay-differential equations. Zbl 0940.65085
Zhang, C. J.; Zhou, S. Z.
19
1999
Split Newton iterative algorithm and its application. Zbl 1202.65066
Li, Dongfang; Zhang, Chengjian
19
2010
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
18
2019
Nonlinear stability of discontinuous Galerkin methods for delay differential equations. Zbl 1191.65111
Li, Dongfang; Zhang, Chengjian
18
2010
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
17
2013
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
17
2012
Strang-type preconditioners applied to ordinary and neutral differential-algebraic equations. Zbl 1249.65165
Zhang, Chengjian; Chen, Hao; Wang, Leiming
16
2011
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
15
2012
Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives. Zbl 1404.62080
Zhou, Yongtao; Zhang, Chengjian
14
2019
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
14
2016
Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations. Zbl 1068.65106
Zhang, Chengjian; Sun, Geng
14
2004
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
14
2020
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
14
2013
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
14
2012
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
13
2015
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.
12
2001
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
11
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
10
2018
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
10
2016
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
10
2013
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
10
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
10
2019
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
10
2019
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
10
2017
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
9
2020
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
9
2015
Analytical and numerical dissipativity for nonlinear generalized pantograph equations. Zbl 1225.65068
Wang, Wansheng; Zhang, Chengjian
9
2011
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. Zbl 1499.65265
Zhang, Chengjian; Wang, Wansheng; Liu, Bochao; Qin, Tingting
9
2018
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
8
2020
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
8
2020
Stable solutions of one-leg methods for a class of nonlinear functional-integro-differential equations. Zbl 1328.65160
Qin, Tingting; Zhang, Chengjian
8
2015
Stability of BDF methods for nonlinear Volterra integral equations with delay. Zbl 1007.65112
Zhang, C. J.; Liao, X. X.
8
2002
Boundedness and asymptotic stability of multistep methods for generalized pantograph equations. Zbl 1054.65083
Zhang, Chengjian; Sun, Geng
8
2004
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
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
Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. Zbl 1490.65163
Zhang, Qifeng; Liu, Lingling; Zhang, Chengjian
8
2022
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
7
2019
Generalized Störmer-Cowell methods for nonlinear BVPs of second-order delay-integro-differential equations. Zbl 1432.65103
Zhang, Chengjian; Li, Cui
7
2018
D-convergence and stability of a class of linear multistep methods for nonlinear DDEs. Zbl 0956.65067
Zhang, Chengjian; Liao, Xiaoxin
7
2000
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
7
2011
Stability analysis of linear multistep and Runge-Kutta methods for neutral multidelay-differential-algebraic systems. Zbl 1255.65154
Chen, Hao; Zhang, Chengjian
7
2012
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
6
2020
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
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
6
2017
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
6
2012
One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. Zbl 07474634
Zhang, Chengjian; Tang, Changyang
6
2022
Implicit-explicit one-leg methods for nonlinear stiff neutral equations. Zbl 1427.65103
Tan, Zengqiang; Zhang, Chengjian
5
2018
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
5
2017
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
5
2014
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 1524.65987
Yan, Xiaoqiang; Zhang, Chengjian
5
2020
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
5
2017
Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. Zbl 1304.65196
Zhang, Qifeng; Zhang, Chengjian; Deng, Dingwen
5
2014
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
5
2011
Analysis of a fourth-order compact ADI method for a linear hyperbolic equation with three spatial variables. Zbl 1269.65078
Deng, Dingwen; Zhang, Chengjian
5
2013
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
5
2021
The extended Pouzet-Runge-Kutta methods for nonlinear neutral delay-integro-differential equations. Zbl 1203.65289
Zhang, Chengjian; Qin, Tingting; Jin, Jie
5
2010
Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs. Zbl 1410.65262
Li, Dongfang; Zhang, Chengjian
4
2016
NGP(\(\alpha\))-stability of general linear methods for NDDEs. Zbl 1073.65075
Zhang, Chengjian
4
2004
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
4
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
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
4
2014
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
Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations. Zbl 1524.65540
Han, Hao; Zhang, Chengjian
4
2021
A fully discrete \(\theta \)-method for solving semi-linear reaction-diffusion equations with time-variable delay. Zbl 1524.65403
Tang, Changyang; Zhang, Chengjian
4
2021
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 1507.65035
Xie, Ying; Zhang, Chengjian
3
2019
Linearized fast time-stepping schemes for time-space fractional Schrödinger equations. Zbl 07736394
Yuan, Wanqiu; Zhang, Chengjian; Li, Dongfang
3
2023
Asymptotical stability of neutral reaction-diffusion equations with PCAs and their finite element methods. Zbl 1515.65243
Han, Hao; Zhang, Chengjian
1
2023
Compact scheme for fractional diffusion-wave equation with spatial variable coefficient and delays. Zbl 1490.65163
Zhang, Qifeng; Liu, Lingling; Zhang, Chengjian
8
2022
One-parameter orthogonal spline collocation methods for nonlinear two-dimensional Sobolev equations with time-variable delay. Zbl 07474634
Zhang, Chengjian; Tang, Changyang
6
2022
One-parameter Galerkin finite element methods for neutral reaction-diffusion equations with piecewise continuous arguments. Zbl 1484.65221
Han, Hao; Zhang, Chengjian
2
2022
A sixth-order quasi-compact difference scheme for multidimensional Poisson equations without derivatives of source term. Zbl 1503.65277
Sun, Tao; Wang, Zhi; Sun, Hai-Wei; Zhang, Chengjian
1
2022
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
5
2021
Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations. Zbl 1524.65540
Han, Hao; Zhang, Chengjian
4
2021
A fully discrete \(\theta \)-method for solving semi-linear reaction-diffusion equations with time-variable delay. Zbl 1524.65403
Tang, Changyang; Zhang, Chengjian
4
2021
Convergence and stability of extended BBVMs for nonlinear delay-differential-algebraic equations with piecewise continuous arguments. Zbl 1469.65114
Zhang, Chengjian; Yan, Xiaoqiang
3
2021
Boundary value methods for Caputo fractional differential equations. Zbl 1474.65237
Zhou, Yongtao; Zhang, Chengjian; Wang, Huiru
3
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
2
2021
A preconditioned implicit difference scheme for semilinear two-dimensional time-space fractional Fokker-Planck equations. Zbl 07396241
Zhang, Chengjian; Zhou, Yongtao
1
2021
Long time numerical behaviors of fractional pantograph equations. Zbl 1482.34189
Li, Dongfang; Zhang, Chengjian
23
2020
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations. Zbl 1453.65239
Zhang, Chengjian; Tan, Zengqiang
14
2020
Preconditioned quasi-compact boundary value methods for space-fractional diffusion equations. Zbl 07202184
Zhou, Yongtao; Zhang, Chengjian; Brugnano, Luigi
9
2020
Extended block boundary value methods for neutral equations with piecewise constant argument. Zbl 1437.65060
Zhang, Chengjian; Li, Cui; Jiang, Jingyao
8
2020
Implicit-explicit time integration of nonlinear fractional differential equations. Zbl 1442.65125
Zhou, Yongtao; Suzuki, Jorge L.; Zhang, Chengjian; Zayernouri, Mohsen
8
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
6
2020
Numerical approximation to a class of nonlinear hybrid system with distributed delay via block boundary value methods. Zbl 1524.65987
Yan, Xiaoqiang; Zhang, Chengjian
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
Solving semi-linear stiff neutral equations by implicit-explicit Runge-Kutta methods. Zbl 1480.65159
Tan, Zengqiang; Zhang, Chengjian
2
2020
Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations. Zbl 1419.65027
Ran, Maohua; Zhang, Chengjian
18
2019
Convergence and stability of block boundary value methods applied to nonlinear fractional differential equations with Caputo derivatives. Zbl 1404.62080
Zhou, Yongtao; Zhang, Chengjian
14
2019
Spectrally accurate energy-preserving methods for the numerical solution of the “good” Boussinesq equation. Zbl 1418.65117
Brugnano, Luigi; Gurioli, Gianmarco; Zhang, Chengjian
10
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
10
2019
Solving nonlinear functional-differential and functional equations with constant delay via block boundary value methods. Zbl 07316756
Yan, Xiaoqiang; Zhang, Chengjian
10
2019
Backward Euler-Maruyama method applied to nonlinear hybrid stochastic differential equations with time-variable delay. Zbl 1409.65007
Zhang, Chengjian; Xie, Ying
7
2019
A class of stochastic one-parameter methods for nonlinear SFDEs with piecewise continuous arguments. Zbl 1507.65035
Xie, Ying; Zhang, Chengjian
3
2019
Solving nonlinear second-order delay initial value problems via the adapted generalized Störmer-Cowell methods. Zbl 1437.65069
Zhang, Chengjian; Wang, Huiru
3
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2
2019
One-leg methods for nonlinear stiff fractional differential equations with Caputo derivatives. Zbl 1429.65150
Zhou, Yongtao; Zhang, Chengjian
1
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
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
35
2018
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
32
2018
The adapted block boundary value methods for singular initial value problems. Zbl 1398.65166
Wang, Huiru; Zhang, Chengjian
11
2018
A class of compact boundary value methods applied to semi-linear reaction-diffusion equations. Zbl 1429.65218
Wang, Huiru; Zhang, Chengjian; Zhou, Yongtao
10
2018
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. Zbl 1499.65265
Zhang, Chengjian; Wang, Wansheng; Liu, Bochao; Qin, Tingting
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
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
23
2017
The attractors for 2nd-order stochastic delay lattice systems. Zbl 1355.34119
Zhang, Chengjian; Zhao, Lu
20
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
10
2017
Generalized polynomial chaos for nonlinear random delay differential equations. Zbl 1358.65010
Shi, Wenjie; Zhang, Chengjian
6
2017
The extended generalized Störmer-Cowell methods for second-order delay boundary value problems. Zbl 1411.65085
Li, Cui; Zhang, Chengjian
5
2017
Higher-order linearized multistep finite difference methods for non-Fickian delay reaction-diffusion equations. Zbl 1365.65200
Zhang, Qifeng; Mei, Ming; Zhang, Chengjian
5
2017
A linear finite difference scheme for generalized time fractional Burgers equation. Zbl 1465.65075
Li, Dongfang; Zhang, Chengjian; Ran, Maohua
74
2016
A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1458.65112
Ran, Maohua; Zhang, Chengjian
54
2016
The compact and Crank-Nicolson ADI schemes for two-dimensional semilinear multidelay parabolic equations. Zbl 1382.65261
Zhang, Qifeng; Zhang, Chengjian; Wang, Li
33
2016
A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator. Zbl 1390.65079
Ran, Maohua; Zhang, Chengjian
22
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
14
2016
Multistep finite difference schemes for the variable coefficient delay parabolic equations. Zbl 1358.65061
Zhang, Qifeng; Li, Dongfang; Zhang, Chengjian; Xu, Dinghua
10
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
32
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
23
2015
A spectral Galerkin method for nonlinear delay convection-diffusion-reaction equations. Zbl 1443.65248
Liu, Bochao; Zhang, Chengjian
13
2015
Strong predictor-corrector approximation for stochastic delay differential equations. Zbl 1349.65034
Niu, Yuanling; Zhang, Chengjian; Burrage, Kevin
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
Global attractor for a class of retarded lattice dynamical systems. Zbl 1384.37107
Zhao, Lu; Zhang, Chengjian; Li, Dongfang
8
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
22
2014
Variational iteration method for singular perturbation initial value problems with delays. Zbl 1407.65088
Zhao, Yongxiang; Xiao, Aiguo; Li, Li; Zhang, Chengjian
5
2014
Compact alternating direction implicit method to solve two-dimensional nonlinear delay hyperbolic differential equations. Zbl 1304.65196
Zhang, Qifeng; Zhang, Chengjian; Deng, Dingwen
5
2014
The mixed Runge-Kutta methods for a class of nonlinear functional-integro-differential equations. Zbl 1337.65079
Zhang, Chengjian; Qin, Tingting
4
2014
A new linearized compact multisplitting scheme for the nonlinear convection-reaction-diffusion equations with delay. Zbl 1344.65085
Zhang, Qifeng; Zhang, Chengjian
33
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
28
2013
Application of a fourth-order compact ADI method to solve a two-dimensional linear hyperbolic equation. Zbl 1278.65122
Deng, Dingwen; Zhang, Chengjian
17
2013
A new fourth-order numerical algorithm for a class of three-dimensional nonlinear evolution equations. Zbl 1255.65158
Deng, Dingwen; Zhang, Chengjian
14
2013
A family of new fourth-order solvers for a nonlinear damped wave equation. Zbl 1306.65241
Deng, Dingwen; Zhang, Chengjian
10
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
5
2013
Block preconditioning strategies for nonlinear viscous wave equations. Zbl 1278.65129
Zhang, Qifeng; Zhang, Chengjian
4
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
Mean-square stability of Milstein methods for stochastic pantograph equations. Zbl 1299.60082
Xiao, Feiyan; Qin, Tingting; Zhang, Chengjian
2
2013
A compact difference scheme and Richardson extrapolation algorithm for solving a class of the nonlinear delay hyperbolic partial differential equations. Zbl 1299.65202
Zhang, Qifeng; Zhang, Chengjian; Deng, Dingwen
2
2013
Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations. Zbl 1243.65153
Chen, Hao; Zhang, Chengjian
39
2012
Long time behavior of non-Fickian delay reaction-diffusion equations. Zbl 1239.35069
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng
25
2012
Block boundary value methods for solving Volterra integral and integro-differential equations. Zbl 1241.65119
Chen, Hao; Zhang, Chengjian
24
2012
Long time behavior of solutions of gKdV equations. Zbl 1234.35233
Wang, Ming; Li, Dongfang; Zhang, Chengjian; Tang, Yanbin
17
2012
A new fourth-order numerical algorithm for a class of nonlinear wave equations. Zbl 1254.65090
Deng, Dingwen; Zhang, Chengjian
15
2012
Error analysis of generalized polynomial chaos for nonlinear random ordinary differential equations. Zbl 1255.65025
Shi, Wenjie; Zhang, Chengjian
14
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
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
Elementary bifurcations for a simple dynamical system under non-Gaussian Lévy noises. Zbl 1274.37032
Chen, Huiqin; Duan, Jinqiao; Zhang, Chengjian
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
3
2012
Boundary value methods for Volterra integral and integro-differential equations. Zbl 1245.65178
Chen, Hao; Zhang, Chengjian
36
2011
LDG method for reaction-diffusion dynamical systems with time delay. Zbl 1239.65062
Li, Dongfang; Zhang, Chengjian; Qin, Hongyu
35
2011
Superconvergence of a discontinuous Galerkin method for first-order linear delay differential equations. Zbl 1249.65162
Li, Dongfang; Zhang, Chengjian
22
2011
Implicit-explicit predictor-corrector schemes for nonlinear parabolic differential equations. Zbl 1219.65098
Li, Dongfang; Zhang, Chengjian; Wang, Wansheng; Zhang, Yangjing
21
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
9
2011
Asymptotic stability of exact and discrete solutions for neutral multidelay-integro-differential equations. Zbl 1225.65125
Wang, Wansheng; Zhang, Chengjian; Li, Dongfang
7
2011
Hopf bifurcation analysis of integro-differential equation with unbounded delay. Zbl 1219.37038
Zhang, Lan; Zhang, Chengjian; Zhao, Dongming
5
2011
A computational analysis for mean exit time under non-Gaussian Lévy noises. Zbl 1252.65011
Chen, Huiqin; Duan, Jinqiao; Li, Xiaofan; Zhang, Chengjian
3
2011
A delay-dependent stability criterion for nonlinear stochastic delay-integro-differential equations. Zbl 1249.65007
Niu, Yuanling; Zhang, Chengjian; Duan, Jinqiao
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
38
2010
Block boundary value methods for delay differential equations. Zbl 1206.65181
Zhang, Chengjian; Chen, Hao
28
2010
...and 35 more Documents
all top 5

Cited by 1,123 Authors

89 Zhang, Chengjian
43 Wang, Wansheng
34 Li, Shoufu
33 Li, Dongfang
28 Wen, Liping
27 Huang, Chengming
24 Xu, Yang
24 Zhao, Jingjun
18 Deng, Dingwen
17 Ran, Maohua
16 Zhang, Qifeng
15 Xiao, Aiguo
15 Yu, Yuexin
14 Chen, Hao
13 Li, Hong
13 Li, Meng
13 Liu, Yang
13 Xie, Jianqiang
12 Fu, Yayun
12 Hendy, Ahmed S.
11 Gan, Siqing
10 Qin, Hongyu
10 Wang, Yushun
10 Zhang, Zhiyue
10 Zhou, Yongtao
9 Cheng, Xiujun
9 Duan, Jinqiao
9 Shah, Kamal
9 Wu, Fengyan
8 Cong, Yuhao
8 Cortés López, Juan Carlos
8 Hu, Dongdong
8 Jornet, Marc
8 Wang, Nan
8 Yan, Xiaoqiang
8 Zhang, Gengen
7 Amin, Rohul
7 Brugnano, Luigi
7 Calatayud, Julia
7 Ding, Xiaohua
7 Macías-Díaz, Jorge Eduardo
7 Qian, Xu
7 Qin, Tingting
7 Qiu, Wenlin
7 Song, Songhe
7 Zaky, Mahmoud A.
7 Zhang, Jiwei
7 Zhao, Yongliang
6 Cai, Wenjun
6 Fei, Mingfa
6 Kumar, Devendra
6 Li, Lili
6 Liang, Dong
6 Pan, Kejia
6 Pimenov, Vladimir Germanovich
6 Tan, Zengqiang
6 Wang, Ming
6 Wang, Renhai
6 Xu, Da
6 Yi, Lijun
6 Yin, Baoli
6 Zayernouri, Mohsen
5 Ahmad, Israr
5 Amirali, Ilhame
5 Amiraliyev, Gabil M.
5 Chen, Xiaoli
5 Chen, Yanping
5 Gu, Xian-Ming
5 Huang, Qiumei
5 Iavernaro, Felice
5 Jiang, Yaolin
5 Li, Cui
5 Li, Dingshi
5 Li, Qing
5 Liu, Fawang
5 Liu, Hongliang
5 Ma, Junjie
5 Mao, Xuerong
5 She, Mianfu
5 Tang, Changyang
5 Wang, Bixiang
5 Wen, Jinming
5 Zhang, Hong
5 Zhang, Zhimin
5 Zhao, Yanmin
4 Abdeljawad, Thabet
4 Chen, Huanzhen
4 Ge, Yongbin
4 Gu, Wei
4 Han, Hao
4 Hu, Guangda
4 Hu, Peng
4 Jiang, Xiaoyun
4 Khaliq, Abdul Q. M.
4 Liao, Xiao Xin
4 Liu, Mingzhu
4 Liu, Yang
4 Lu, Shujuan
4 Nikan, Omid
4 Rathinasamy, Anandaraman
...and 1,023 more Authors
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Cited in 145 Serials

106 Applied Mathematics and Computation
60 Applied Numerical Mathematics
59 Journal of Computational and Applied Mathematics
43 Mathematics and Computers in Simulation
42 International Journal of Computer Mathematics
41 Computers & Mathematics with Applications
35 Communications in Nonlinear Science and Numerical Simulation
32 Journal of Scientific Computing
30 Numerical Algorithms
21 Numerical Methods for Partial Differential Equations
21 Computational and Applied Mathematics
18 Applied Mathematics Letters
15 Advances in Difference Equations
14 Abstract and Applied Analysis
13 Mathematical Methods in the Applied Sciences
13 Applied Mathematical Modelling
12 Chaos, Solitons and Fractals
12 Journal of Applied Mathematics and Computing
11 Journal of Mathematical Analysis and Applications
10 Networks and Heterogeneous Media
9 Journal of Difference Equations and Applications
8 Advances in Applied Mathematics and Mechanics
7 Calcolo
7 Journal of Computational Mathematics
7 SIAM Journal on Scientific Computing
7 Engineering Analysis with Boundary Elements
7 Discrete and Continuous Dynamical Systems. Series B
7 Journal of Function Spaces
6 Journal of Computational Physics
6 Journal of Applied Mathematics
5 BIT
5 Acta Mathematicae Applicatae Sinica. English Series
5 Discrete Dynamics in Nature and Society
5 Frontiers of Mathematics in China
5 East Asian Journal on Applied Mathematics
4 Proceedings of the American Mathematical Society
4 Mathematical and Computer Modelling
4 Advances in Computational Mathematics
4 Chaos
4 Boundary Value Problems
4 Communications in Computational Physics
4 Communications on Applied Mathematics and Computation
4 Electronic Research Archive
3 Applicable Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Functional Analysis and Optimization
3 Journal of Dynamics and Differential Equations
3 Fractals
3 Discrete and Continuous Dynamical Systems
3 Journal of Inequalities and Applications
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Mathematical Modelling and Analysis
3 Mediterranean Journal of Mathematics
3 Nonlinear Analysis. Hybrid Systems
3 Discrete and Continuous Dynamical Systems. Series S
3 Advances in Mathematical Physics
2 Computer Physics Communications
2 Journal of the Franklin Institute
2 Mathematical Biosciences
2 Mathematics of Computation
2 Journal of Differential Equations
2 Numerische Mathematik
2 SIAM Journal on Numerical Analysis
2 Mathematica Numerica Sinica
2 Physica D
2 Science in China. Series A
2 Numerical Linear Algebra with Applications
2 Complexity
2 Journal of Mathematical Chemistry
2 Mathematical Problems in Engineering
2 Nonlinear Dynamics
2 Computational Methods in Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Journal of Statistical Mechanics: Theory and Experiment
2 Numerical Mathematics: Theory, Methods and Applications
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 Computational Methods for Differential Equations
2 International Journal of Applied and Computational Mathematics
2 AIMS Mathematics
1 Computers and Fluids
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Control
1 Journal of Mathematical Physics
1 Linear and Multilinear Algebra
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 Kybernetika
1 Nagoya Mathematical Journal
1 Applied Mathematics and Mechanics. (English Edition)
1 Bulletin of the Iranian Mathematical Society
1 Computational Mechanics
1 Journal of Theoretical Probability
1 Journal of Integral Equations and Applications
1 The Journal of Geometric Analysis
1 Computational Mathematics and Mathematical Physics
1 Stochastic Processes and their Applications
...and 45 more Serials
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Cited in 36 Fields

753 Numerical analysis (65-XX)
377 Partial differential equations (35-XX)
219 Ordinary differential equations (34-XX)
95 Integral equations (45-XX)
90 Probability theory and stochastic processes (60-XX)
80 Real functions (26-XX)
44 Dynamical systems and ergodic theory (37-XX)
35 Fluid mechanics (76-XX)
31 Biology and other natural sciences (92-XX)
21 Systems theory; control (93-XX)
17 Approximations and expansions (41-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Difference and functional equations (39-XX)
7 Operator theory (47-XX)
7 Mechanics of deformable solids (74-XX)
6 Computer science (68-XX)
6 Quantum theory (81-XX)
5 Optics, electromagnetic theory (78-XX)
5 Statistical mechanics, structure of matter (82-XX)
5 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 Classical thermodynamics, heat transfer (80-XX)
3 Information and communication theory, circuits (94-XX)
2 Special functions (33-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of particles and systems (70-XX)
2 Operations research, mathematical programming (90-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

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