Edit Profile (opens in new tab) Zhang, Chengjian Co-Author Distance 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: 179 Publications since 1993 Co-Authors: 80 Co-Authors with 156 Joint Publications 2,917 Co-Co-Authors all top 5 Co-Authors 15 single-authored 19 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 6 Tang, Changyang 5 Li, Cui 5 Tan, Zengqiang 5 Xiao, Feiyan 5 Zhou, Shuzi 4 Brugnano, Luigi 4 Han, Hao 4 Shi, Wenjie 4 Vandewalle, Stefan G. 4 Wang, Huiru 4 Yan, Xiaoqiang 4 Zhang, Lan 3 Duan, Jinqiao 3 Jin, Jie 3 Zhao, Lu 2 Burrage, Kevin 2 Chen, Huiqin 2 He, Yaoyao 2 Liu, Bochao 2 Sun, Geng 2 Sun, Haiwei 2 Wan, Zhengsu 2 Wang, Siyi 2 Yin, Xiuling 2 Yuan, Wanqiu 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 Hou, Bo 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 Sun, Tao 1 Suzuki, Jorge L. 1 Tang, Yanbin 1 Wang, Leiming 1 Wang, Li 1 Wang, Ming 1 Wang, Zhi 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, 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 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 all top 5 Fields 163 Numerical analysis (65-XX) 76 Ordinary differential equations (34-XX) 43 Partial differential equations (35-XX) 25 Integral equations (45-XX) 22 Probability theory and stochastic processes (60-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Mechanics of deformable solids (74-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 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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(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 all top 5 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) Citations by Year