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## Huang, Chengming

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 Author ID: huang.chengming Published as: Huang, Chengming; Huang, Cheng-Ming; Huang, Cheng Ming; Huang, C. External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 132 Publications since 1993
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#### Co-Authors

 18 single-authored 14 Li, Meng 13 Wu, Fuke 13 Wu, Shulin 11 Hu, Peng 10 Hu, Yangzi 9 Wang, Nan 8 Wang, Pengde 7 Chen, Guangnan 7 Li, Shoufu 7 Zong, Xiaofeng 6 Fei, Mingfa 6 Fu, Hongyuan 6 Ma, Xiaohua 6 Ming, Wanyuan 5 Chang, Qianshun 5 Zhang, Guoyu 4 Gan, Siqing 4 Jiang, Fengze 4 Vandewalle, Stefan G. 4 Xiao, Aiguo 4 Zhao, Longbin 3 Wen, Jiao 3 Yue, Chao 2 Alikhanov, Anatoly A. 2 Li, Wenhao 2 Qu, Xiaomei 2 Shi, Baochang 1 Chen, Shaochun 1 Chen, Ziheng 1 Dong, Dian 1 Gu, Xian-Ming 1 Hu, Shigeng 1 Hu, Yaozhong 1 Huang, Ting-Zhu 1 Huang, Yufang 1 Karniadakis, George Em 1 Liu, Chao 1 Ma, Zheng 1 Mao, Zhiping 1 Niu, Xin 1 Qi, Rui 1 Tian, Hongjiong 1 Wang, Desheng 1 Wang, Xiaojie 1 Zhang, Zongbiao 1 Zhao, Jikun 1 Zhao, Yongliang
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#### Serials

 14 Applied Mathematics and Computation 12 Journal of Computational and Applied Mathematics 8 Applied Numerical Mathematics 7 Computers & Mathematics with Applications 7 Numerical Algorithms 4 International Journal of Computer Mathematics 4 Chinese Journal of Numerical Mathematics and Applications 4 Abstract and Applied Analysis 3 IMA Journal of Numerical Analysis 3 Journal of Computational Physics 3 BIT 3 Mathematica Numerica Sinica 3 Natural Science Journal of Xiangtan University 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 Computational and Applied Mathematics 2 Applicable Analysis 2 Journal of the Franklin Institute 2 Journal of Mathematical Analysis and Applications 2 Numerische Mathematik 2 Journal of Computational Mathematics 2 SIAM Journal on Scientific Computing 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Applied Mathematics and Computing 2 Communications in Computational Physics 1 International Journal of Systems Science 1 Mathematical Methods in the Applied Sciences 1 Automatica 1 Computing 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Numerical Analysis 1 Numerical Mathematics 1 Systems & Control Letters 1 Journal of Mathematics. Wuhan University 1 Journal of Engineering Mathematics (Xi’an) 1 Acta Mathematicae Applicatae Sinica. English Series 1 Northeastern Mathematical Journal 1 Journal of Jiangxi Normal University. Natural Science Edition 1 Numerical Methods for Partial Differential Equations 1 Mathematical and Computer Modelling 1 Mathematica Applicata 1 Applied Mathematical Modelling 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Numerical Mathematics 1 Journal on Numerical Methods and Computer Applications 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Acta Mathematica Sinica. English Series 1 Progress in Natural Science 1 Frontiers of Mathematics in China 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal of Nonlinear Science 1 Chinese Journal of Engineering Mathematics 1 East Asian Journal on Applied Mathematics
all top 5

#### Fields

 118 Numerical analysis (65-XX) 58 Ordinary differential equations (34-XX) 34 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 18 Integral equations (45-XX) 7 Real functions (26-XX) 5 Systems theory; control (93-XX) 4 Approximations and expansions (41-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Biology and other natural sciences (92-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

97 Publications have been cited 1,329 times in 768 Documents Cited by Year
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations. Zbl 1349.65346
Wang, Pengde; Huang, Chengming
2015
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1382.65320
Li, Meng; Gu, Xian-Ming; Huang, Chengming; Fei, Mingfa; Zhang, Guoyu
2018
Exponential mean square stability of numerical methods for systems of stochastic differential equations. Zbl 1251.65003
Huang, Chengming
2012
An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078
Huang, Chengming; Vandewalle, Stefan
2004
Stability and error analysis of one-leg methods for nonlinear delay differential equations. Zbl 0948.65078
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
1999
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
2017
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
2014
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
2000
Numerical solution of fractional integro-differential equations by a hybrid collocation method. Zbl 1290.65130
Ma, Xiaohua; Huang, Chengming
2013
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation. Zbl 1382.65260
Wang, Pengde; Huang, Chengming; Zhao, Longbin
2016
Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations. Zbl 1291.65020
Huang, Chengming
2014
An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation. Zbl 1351.76191
Wang, Pengde; Huang, Chengming
2016
Robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay. Zbl 1223.93096
Wu, Fuke; Hu, Shigeng; Huang, Chengming
2010
Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. Zbl 0930.65090
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
1999
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
Dissipativity of one-leg methods for dynamical systems with delays. Zbl 0965.65136
Huang, Chengming
2000
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2011
Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients. Zbl 1364.65020
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation. Zbl 1367.65144
Li, Meng; Huang, Chengming; Wang, Nan
2017
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
2009
Structure-preserving numerical methods for the fractional Schrödinger equation. Zbl 1393.65055
Wang, Pengde; Huang, Chengming
2018
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
2005
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations. Zbl 1246.65013
Huang, Chengming; Gan, Siqing; Wang, Desheng
2012
Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay. Zbl 1368.93765
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2009
Stability of linear multistep methods for delay integro-differential equations. Zbl 1142.65380
Huang, Chengming
2008
Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. Zbl 1077.65079
Huang, Chengming; Chang, Qianshun
2004
Nonlinear stability of general linear methods for delay differential equations. Zbl 1009.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2002
Delay-dependent stability of high order Runge-Kutta methods. Zbl 1167.65045
Huang, Chengming
2009
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
2018
Preserving exponential mean square stability and decay rates in two classes of theta approximations of stochastic differential equations. Zbl 1291.60143
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
2012
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
2019
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. Zbl 1409.65057
Wang, Nan; Huang, Chengming
2018
Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes. Zbl 1371.65108
Li, Meng; Huang, Chengming; Jiang, Fengze
2017
Stability of stochastic $$\theta$$-methods for stochastic delay integro-differential equations. Zbl 1222.65010
Hu, Peng; Huang, Chengming
2011
Linear stability of general linear methods for systems of neutral delay differential equations. Zbl 0989.65078
Huang, Chengming; Chang, Qianshun
2001
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data. Zbl 1440.65143
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2019
Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations. Zbl 1255.65145
Qu, Xiaomei; Huang, Chengming
2012
Strong convergence of split-step theta methods for non-autonomous stochastic differential equations. Zbl 1309.65011
Yue, Chao; Huang, Chengming; Jiang, Fengze
2014
Stability analysis of numerical methods for systems of functional-differential and functional equations. Zbl 1035.65089
Huang, Chengming; Chang, Qianshun
2002
Strong stability preserving hybrid methods. Zbl 1163.65063
Huang, Chengming
2009
Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations. Zbl 1400.65035
Hu, Peng; Huang, Chengming; Wu, Shulin
2009
$$D$$-convergence of one-leg methods for stiff delay differential equations. Zbl 1007.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2001
$$D$$-convergence of Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2001
Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation. Zbl 1448.65167
Li, Meng; Huang, Chengming; Zhang, Zongbiao
2018
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
Huang, Chengming
2009
The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. Zbl 07042456
Li, Min; Huang, Chengming
2019
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
Superconvergence in collocation methods for Volterra integral equations with vanishing delays. Zbl 1346.65079
Ming, Wanyuan; Huang, Chengming; Li, Meng
2016
Stochastic stability of a class of unbounded delay neutral stochastic differential equations with general decay rate. Zbl 1259.93128
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2012
Analytical and numerical stability of nonlinear neutral delay integro-differential equations. Zbl 1226.65111
Hu, Peng; Huang, Chengming
2011
Convergence analysis of the overlapping Schwarz waveform relaxation algorithm for reaction-diffusion equations with time delay. Zbl 1259.65136
Wu, Shu-Lin; Huang, Cheng-Ming; Huang, Ting-Zhu
2012
Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters. Zbl 1207.65102
Li, Wenhao; Huang, Chengming; Gan, Siqing
2010
Asymptotic stability of multistep methods for nonlinear delay differential equations. Zbl 1161.65063
Huang, Chengming
2008
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1184.65047
Wu, Shulin; Huang, Chengming
2009
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
Hu, Yangzi; Huang, Chengming
2012
Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems. Zbl 1042.65063
Xiao, A.; Huang, C.; Gan, S.
2001
$$D$$-convergence of general linear methods for stiff delay differential equations. Zbl 0989.65079
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan
2001
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. Zbl 1395.65080
Li, Meng; Huang, Chengming; Ming, Wanyuan
2018
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
2020
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. Zbl 1443.65145
Wang, Pengde; Huang, Chengming
2016
An adaptive Filon-type method for oscillatory integrals without stationary points. Zbl 1375.65042
Zhao, Longbin; Huang, Chengming
2017
Dissipation-preserving Galerkin-Legendre spectral methods for two-dimensional fractional nonlinear wave equations. Zbl 1447.65093
Wang, Nan; Fei, Mingfa; Huang, Chengming; Zhang, Guoyu; Li, Meng
2020
Newton waveform relaxation method for solving algebraic nonlinear equations. Zbl 1151.65046
Wu, Shulin; Huang, Chengming; Liu, Yong
2008
Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations. Zbl 1328.65274
Ma, Xiaohua; Huang, Chengming; Niu, Xin
2015
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming
2016
Collocation methods for Volterra functional integral equations with non-vanishing delays. Zbl 1411.65170
Ming, Wanyuan; Huang, Chengming
2017
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
Hu, Yangzi; Huang, Chengming
2012
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; Huang, Chengming
2013
A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains. Zbl 07318108
Li, Meng; Fei, Mingfa; Wang, Nan; Huang, Chengming
2020
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
2009
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
2009
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
2010
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations. Zbl 1356.60096
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2016
Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays. Zbl 1426.65215
Ming, Wanyuan; Huang, Chengming; Zhao, Longbin
2018
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
2020
Relaxation Newton iteration for a class of algebraic nonlinear systems. Zbl 1201.65082
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
General decay pathwise stability of neutral stochastic differential equations with unbounded delay. Zbl 1227.60074
Hu, Yang Zi; Wu, Fu Ke; Huang, Cheng Ming
2011
Linear stability of numerical methods for systems of functional differential equations with a proportional delay. Zbl 1035.65090
Huang, Chengming; Gan, Siqing
2003
Strong convergence of the split-step theta method for stochastic delay differential equations with nonglobally Lipschitz continuous coefficients. Zbl 1470.65011
Yue, Chao; Huang, Chengming
2014
The stochastic $$\Theta$$-method for nonlinear stochastic Volterra integro-differential equations. Zbl 07022655
Hu, Peng; Huang, Chengming
2014
Delay-dependent stability analysis of the trapezium rule for a class of second order delay differential equations. Zbl 1180.65097
Huang, Chengming; Li, Wenhao
2007
Delay dependent stability of stochastic split-step $$\theta$$ methods for stochastic delay differential equations. Zbl 1429.65017
Hu, Peng; Huang, Chengming
2018
Projected Euler-Maruyama method for stochastic delay differential equations under a global monotonicity condition. Zbl 1433.65011
Li, Min; Huang, Chengming
2020
A spectral penalty method for two-sided fractional differential equations with General boundary conditions. Zbl 07099316
Wang, Nan; Mao, Zhiping; Huang, Chengming; Karniadakis, George Em
2019
Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels. Zbl 1438.65331
Li, Min; Huang, Chengming; Ming, Wanyuan
2019
Convergence and stability of numerical solutions to a class of index 1 stochastic differential algebraic equations with time delay. Zbl 1184.65015
Qu, Xiaomei; Huang, Chengming; Liu, Chao
2010
Analysis of mean-square stability of the parareal algorithm. Zbl 1240.65014
Wu, Shulin; Wang, Zhiyong; Huang, Chengming
2011
$$A$$-stability is equivalent to $$B$$-convergence. Zbl 0925.65139
Huang, Chengming
1995
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
2000
Contractivity of linear multistep methods nonlinear delay differential equations. Zbl 0959.65094
Huang, Chengming
1999
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
2003
Dissipativity of multistep methods for delay dynamical systems. Zbl 0937.65082
Huang, Chengming
1999
Stochastic exponential integrator for finite element spatial discretization of stochastic elastic equation. Zbl 1443.65344
Jiang, Fengze; Huang, Chengming; Wang, Xiaojie
2015
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
2020
Dissipation-preserving Galerkin-Legendre spectral methods for two-dimensional fractional nonlinear wave equations. Zbl 1447.65093
Wang, Nan; Fei, Mingfa; Huang, Chengming; Zhang, Guoyu; Li, Meng
2020
A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains. Zbl 07318108
Li, Meng; Fei, Mingfa; Wang, Nan; Huang, Chengming
2020
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
2020
Projected Euler-Maruyama method for stochastic delay differential equations under a global monotonicity condition. Zbl 1433.65011
Li, Min; Huang, Chengming
2020
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
2019
Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data. Zbl 1440.65143
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2019
The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. Zbl 07042456
Li, Min; Huang, Chengming
2019
A spectral penalty method for two-sided fractional differential equations with General boundary conditions. Zbl 07099316
Wang, Nan; Mao, Zhiping; Huang, Chengming; Karniadakis, George Em
2019
Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels. Zbl 1438.65331
Li, Min; Huang, Chengming; Ming, Wanyuan
2019
A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations. Zbl 1382.65320
Li, Meng; Gu, Xian-Ming; Huang, Chengming; Fei, Mingfa; Zhang, Guoyu
2018
Structure-preserving numerical methods for the fractional Schrödinger equation. Zbl 1393.65055
Wang, Pengde; Huang, Chengming
2018
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
2018
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. Zbl 1409.65057
Wang, Nan; Huang, Chengming
2018
Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation. Zbl 1448.65167
Li, Meng; Huang, Chengming; Zhang, Zongbiao
2018
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. Zbl 1395.65080
Li, Meng; Huang, Chengming; Ming, Wanyuan
2018
Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays. Zbl 1426.65215
Ming, Wanyuan; Huang, Chengming; Zhao, Longbin
2018
Delay dependent stability of stochastic split-step $$\theta$$ methods for stochastic delay differential equations. Zbl 1429.65017
Hu, Peng; Huang, Chengming
2018
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
2017
Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation. Zbl 1367.65144
Li, Meng; Huang, Chengming; Wang, Nan
2017
Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes. Zbl 1371.65108
Li, Meng; Huang, Chengming; Jiang, Fengze
2017
An adaptive Filon-type method for oscillatory integrals without stationary points. Zbl 1375.65042
Zhao, Longbin; Huang, Chengming
2017
Collocation methods for Volterra functional integral equations with non-vanishing delays. Zbl 1411.65170
Ming, Wanyuan; Huang, Chengming
2017
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation. Zbl 1382.65260
Wang, Pengde; Huang, Chengming; Zhao, Longbin
2016
An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation. Zbl 1351.76191
Wang, Pengde; Huang, Chengming
2016
Superconvergence in collocation methods for Volterra integral equations with vanishing delays. Zbl 1346.65079
Ming, Wanyuan; Huang, Chengming; Li, Meng
2016
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. Zbl 1443.65145
Wang, Pengde; Huang, Chengming
2016
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming
2016
The moment exponential stability criterion of nonlinear hybrid stochastic differential equations and its discrete approximations. Zbl 1356.60096
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2016
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations. Zbl 1349.65346
Wang, Pengde; Huang, Chengming
2015
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
Convergence analysis of spectral collocation methods for a class of weakly singular Volterra integral equations. Zbl 1328.65274
Ma, Xiaohua; Huang, Chengming; Niu, Xin
2015
Stochastic exponential integrator for finite element spatial discretization of stochastic elastic equation. Zbl 1443.65344
Jiang, Fengze; Huang, Chengming; Wang, Xiaojie
2015
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
2014
Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations. Zbl 1291.65020
Huang, Chengming
2014
Convergence and stability of the semi-tamed Euler scheme for stochastic differential equations with non-Lipschitz continuous coefficients. Zbl 1364.65020
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Preserving exponential mean square stability and decay rates in two classes of theta approximations of stochastic differential equations. Zbl 1291.60143
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2014
Strong convergence of split-step theta methods for non-autonomous stochastic differential equations. Zbl 1309.65011
Yue, Chao; Huang, Chengming; Jiang, Fengze
2014
Strong convergence of the split-step theta method for stochastic delay differential equations with nonglobally Lipschitz continuous coefficients. Zbl 1470.65011
Yue, Chao; Huang, Chengming
2014
The stochastic $$\Theta$$-method for nonlinear stochastic Volterra integro-differential equations. Zbl 07022655
Hu, Peng; Huang, Chengming
2014
Numerical solution of fractional integro-differential equations by a hybrid collocation method. Zbl 1290.65130
Ma, Xiaohua; Huang, Chengming
2013
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; Huang, Chengming
2013
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
Exponential mean square stability of numerical methods for systems of stochastic differential equations. Zbl 1251.65003
Huang, Chengming
2012
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations. Zbl 1246.65013
Huang, Chengming; Gan, Siqing; Wang, Desheng
2012
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
2012
Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations. Zbl 1255.65145
Qu, Xiaomei; Huang, Chengming
2012
Stochastic stability of a class of unbounded delay neutral stochastic differential equations with general decay rate. Zbl 1259.93128
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2012
Convergence analysis of the overlapping Schwarz waveform relaxation algorithm for reaction-diffusion equations with time delay. Zbl 1259.65136
Wu, Shu-Lin; Huang, Cheng-Ming; Huang, Ting-Zhu
2012
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
Hu, Yangzi; Huang, Chengming
2012
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
Hu, Yangzi; Huang, Chengming
2012
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2011
Stability of stochastic $$\theta$$-methods for stochastic delay integro-differential equations. Zbl 1222.65010
Hu, Peng; Huang, Chengming
2011
Analytical and numerical stability of nonlinear neutral delay integro-differential equations. Zbl 1226.65111
Hu, Peng; Huang, Chengming
2011
General decay pathwise stability of neutral stochastic differential equations with unbounded delay. Zbl 1227.60074
Hu, Yang Zi; Wu, Fu Ke; Huang, Cheng Ming
2011
Analysis of mean-square stability of the parareal algorithm. Zbl 1240.65014
Wu, Shulin; Wang, Zhiyong; Huang, Chengming
2011
Robustness of general decay stability of nonlinear neutral stochastic functional differential equations with infinite delay. Zbl 1223.93096
Wu, Fuke; Hu, Shigeng; Huang, Chengming
2010
Delay-dependent stability analysis of trapezium rule for second order delay differential equations with three parameters. Zbl 1207.65102
Li, Wenhao; Huang, Chengming; Gan, Siqing
2010
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
2010
Convergence and stability of numerical solutions to a class of index 1 stochastic differential algebraic equations with time delay. Zbl 1184.65015
Qu, Xiaomei; Huang, Chengming; Liu, Chao
2010
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
2009
Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay. Zbl 1368.93765
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2009
Delay-dependent stability of high order Runge-Kutta methods. Zbl 1167.65045
Huang, Chengming
2009
Strong stability preserving hybrid methods. Zbl 1163.65063
Huang, Chengming
2009
Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations. Zbl 1400.65035
Hu, Peng; Huang, Chengming; Wu, Shulin
2009
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
Huang, Chengming
2009
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1184.65047
Wu, Shulin; Huang, Chengming
2009
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
2009
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
2009
Relaxation Newton iteration for a class of algebraic nonlinear systems. Zbl 1201.65082
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
Stability of linear multistep methods for delay integro-differential equations. Zbl 1142.65380
Huang, Chengming
2008
Asymptotic stability of multistep methods for nonlinear delay differential equations. Zbl 1161.65063
Huang, Chengming
2008
Newton waveform relaxation method for solving algebraic nonlinear equations. Zbl 1151.65046
Wu, Shulin; Huang, Chengming; Liu, Yong
2008
Delay-dependent stability analysis of the trapezium rule for a class of second order delay differential equations. Zbl 1180.65097
Huang, Chengming; Li, Wenhao
2007
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
2005
An analysis of delay-dependent stability for ordinary and partial differential equations with fixed and distributed delays. Zbl 1064.65078
Huang, Chengming; Vandewalle, Stefan
2004
Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. Zbl 1077.65079
Huang, Chengming; Chang, Qianshun
2004
Linear stability of numerical methods for systems of functional differential equations with a proportional delay. Zbl 1035.65090
Huang, Chengming; Gan, Siqing
2003
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
2003
Nonlinear stability of general linear methods for delay differential equations. Zbl 1009.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2002
Stability analysis of numerical methods for systems of functional-differential and functional equations. Zbl 1035.65089
Huang, Chengming; Chang, Qianshun
2002
Linear stability of general linear methods for systems of neutral delay differential equations. Zbl 0989.65078
Huang, Chengming; Chang, Qianshun
2001
$$D$$-convergence of one-leg methods for stiff delay differential equations. Zbl 1007.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
2001
$$D$$-convergence of Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2001
Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems. Zbl 1042.65063
Xiao, A.; Huang, C.; Gan, S.
2001
$$D$$-convergence of general linear methods for stiff delay differential equations. Zbl 0989.65079
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan
2001
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
2000
Dissipativity of one-leg methods for dynamical systems with delays. Zbl 0965.65136
Huang, Chengming
2000
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
2000
Stability and error analysis of one-leg methods for nonlinear delay differential equations. Zbl 0948.65078
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
1999
Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. Zbl 0930.65090
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
1999
Contractivity of linear multistep methods nonlinear delay differential equations. Zbl 0959.65094
Huang, Chengming
1999
Dissipativity of multistep methods for delay dynamical systems. Zbl 0937.65082
Huang, Chengming
1999
$$A$$-stability is equivalent to $$B$$-convergence. Zbl 0925.65139
Huang, Chengming
1995
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#### Cited by 931 Authors

 65 Huang, Chengming 33 Wen, Liping 33 Zhang, Chengjian 29 Li, Shoufu 27 Wang, Wansheng 23 Xiao, Aiguo 19 Li, Meng 18 Gan, Siqing 18 Yu, Yuexin 18 Zhao, Jingjun 17 Xu, Yang 14 Wu, Fuke 13 Ding, Xiaohua 13 Macías-Díaz, Jorge Eduardo 12 Li, Dongfang 11 Bhrawy, Ali Hassan 11 Wang, Yushun 11 Wu, Shulin 11 Zhao, Yongliang 10 Deng, Feiqi 10 Gu, Xian-Ming 10 Ma, Qiang 9 Hu, Peng 9 Mao, Xuerong 9 Wang, Nan 9 Zhang, Qifeng 9 Zhou, Shaobo 8 Cai, Wenjun 8 Fu, Yayun 8 Tian, Hongjiong 8 Wang, Pengde 8 Zhang, Zhiyue 7 Hendy, Ahmed S. 7 Hu, Dongdong 7 Xie, Jianqiang 7 Yue, Chao 7 Zong, Xiaofeng 6 Cong, Yuhao 6 Hu, Shigeng 6 Li, Hong 6 Liu, Linna 6 Liu, Yang 6 Ming, Wanyuan 6 Pedas, Arvet 6 Qin, Hongyu 6 Tamme, Enn 6 Wang, Dongling 6 Xing, Zhiyong 6 Zaky, Mahmoud A. 6 Zhu, Quanxin 5 Amiraliyev, Gabil M. 5 Cheng, Xiujun 5 Fei, Mingfa 5 Guo, Qian 5 Hu, Guangda 5 Huang, Ting-Zhu 5 Nguyen-Ba, Truong 5 Vaillancourt, Rémi 5 Wang, Junjie 5 Yuan, Chenggui 5 Zhang, Gengen 5 Zhao, Xile 4 Băleanu, Dumitru I. 4 Brunner, Hermann 4 Doha, Eid H. 4 Fan, Yan 4 Feng, Lichao 4 Hu, Yangzi 4 Janković, Svetlana 4 Jian, Huanyan 4 Jiang, Daqing 4 Liang, Dong 4 Liang, Hui 4 Liu, Fawang 4 Liu, Mingzhu 4 Mao, Wei 4 Mustafa, Muhammad Islam 4 Pandey, Rajesh Kumar 4 Qin, Tingting 4 Ren, Yunzhu 4 Song, Minghui 4 Sun, Haiwei 4 Tang, Yifa 4 Vandewalle, Stefan G. 4 Vikerpuur, Mikk 4 Wang, Ke 4 Wang, Xiaojie 4 Wu, Fengyan 4 Yang, Zhanwen 4 Yi, Lijun 4 Yi, Yulian 4 Yuan, Haiyan 4 Zhang, Qimin 4 Zhang, Wei 4 Zhang, YanMing 4 Zhao, Longbin 3 Abbaszadeh, Mostafa 3 Alghamdi, Mohammed Ali 3 Bu, Weiping 3 Cao, Jinde ...and 831 more Authors
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#### Cited in 115 Serials

 115 Applied Mathematics and Computation 84 Journal of Computational and Applied Mathematics 73 Applied Numerical Mathematics 32 Computers & Mathematics with Applications 31 Numerical Algorithms 20 Journal of Scientific Computing 20 International Journal of Computer Mathematics 20 Advances in Difference Equations 18 Applied Mathematics Letters 17 Computational and Applied Mathematics 17 Abstract and Applied Analysis 16 Mathematics and Computers in Simulation 15 Journal of Mathematical Analysis and Applications 15 Communications in Nonlinear Science and Numerical Simulation 11 Mathematical Problems in Engineering 9 Journal of the Franklin Institute 9 Advances in Applied Mathematics and Mechanics 8 Journal of Computational Physics 8 Mathematical Methods in the Applied Sciences 8 BIT 8 Discrete Dynamics in Nature and Society 8 Discrete and Continuous Dynamical Systems. Series B 8 Frontiers of Mathematics in China 7 Nonlinear Dynamics 6 Systems & Control Letters 6 Engineering Analysis with Boundary Elements 6 Journal of Applied Mathematics 5 International Journal of Control 5 Chaos, Solitons and Fractals 5 Mathematical and Computer Modelling 5 Advances in Computational Mathematics 5 Journal of Difference Equations and Applications 5 Journal of Function Spaces 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematical Modelling 4 Fractional Calculus & Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Advances in Mathematical Physics 4 International Journal of Applied and Computational Mathematics 3 Applicable Analysis 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Scientific Computing 3 Nonlinear Analysis. Hybrid Systems 3 International Journal of Biomathematics 3 Journal of Applied Analysis and Computation 3 Journal of Mathematics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics of Computation 2 Automatica 2 Information Sciences 2 Stochastic Analysis and Applications 2 Science in China. Series A 2 Neural Networks 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Differential Equations and Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Kragujevac Journal of Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Journal of Nonlinear Science and Applications 2 Science China. Mathematics 2 Mathematical Sciences 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 International Journal of Theoretical Physics 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Computing 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Theoretical Probability 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Celestial Mechanics and Dynamical Astronomy 1 International Journal of Robust and Nonlinear Control 1 Numerical Linear Algebra with Applications 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Methodology and Computing in Applied Probability 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics ...and 15 more Serials
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#### Cited in 35 Fields

 624 Numerical analysis (65-XX) 248 Ordinary differential equations (34-XX) 214 Partial differential equations (35-XX) 165 Probability theory and stochastic processes (60-XX) 108 Integral equations (45-XX) 60 Real functions (26-XX) 40 Systems theory; control (93-XX) 31 Biology and other natural sciences (92-XX) 20 Fluid mechanics (76-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Quantum theory (81-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Operator theory (47-XX) 8 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Special functions (33-XX) 6 Difference and functional equations (39-XX) 4 Approximations and expansions (41-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX)