## Huang, Chengming

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 Author ID: huang.chengming Published as: Huang, Chengming; Huang, Cheng-Ming; Huang, Cheng Ming; Huang, C. more...less External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 142 Publications since 1993 Co-Authors: 49 Co-Authors with 121 Joint Publications 2,015 Co-Co-Authors
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### Co-Authors

 18 single-authored 15 Li, Meng 13 Wu, Fuke 13 Wu, Shulin 11 Hu, Peng 10 Hu, Yangzi 10 Wang, Nan 9 Wang, Pengde 8 Fei, Mingfa 7 Chen, Guangnan 7 Li, Shoufu 7 Zong, Xiaofeng 6 Fu, Hongyuan 6 Ma, Xiaohua 6 Ming, Wanyuan 6 Zhang, Guoyu 5 Chang, Qianshun 4 Gan, Siqing 4 Jiang, Fengze 4 Vandewalle, Stefan G. 4 Wen, Jiao 4 Xiao, Aiguo 4 Zhao, Longbin 3 Alikhanov, Anatoliĭ Alievich 3 Hu, Yaozhong 3 Yue, Chao 2 Chen, Shaochun 2 Li, Wenhao 2 Qu, Xiaomei 2 Shi, Baochang 2 Zhao, Jikun 1 Chen, Ziheng 1 Di, Jingjing 1 Dong, Dian 1 Gu, Xian-Ming 1 Hu, Shigeng 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 Wang, Xiong 1 Wen, Liping 1 Zhang, Zongbiao 1 Zhao, Yongliang
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### Serials

 15 Journal of Computational and Applied Mathematics 14 Applied Mathematics and Computation 8 Applied Numerical Mathematics 7 Computers & Mathematics with Applications 7 Numerical Algorithms 5 IMA Journal of Numerical Analysis 5 International Journal of Computer Mathematics 4 Mathematica Numerica Sinica 4 Chinese Journal of Numerical Mathematics and Applications 4 Abstract and Applied Analysis 3 Journal of Computational Physics 3 BIT 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 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Acta Mathematica Sinica. English Series 1 Progress in Natural Science 1 Advances in Difference Equations 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 Scientia Sinica. Mathematica 1 East Asian Journal on Applied Mathematics
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### Fields

 127 Numerical analysis (65-XX) 59 Ordinary differential equations (34-XX) 39 Partial differential equations (35-XX) 28 Probability theory and stochastic processes (60-XX) 22 Integral equations (45-XX) 13 Real functions (26-XX) 4 Systems theory; control (93-XX) 3 Approximations and expansions (41-XX) 3 Biology and other natural sciences (92-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

111 Publications have been cited 1,612 times in 936 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
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
2017
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
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
2014
Numerical solution of fractional integro-differential equations by a hybrid collocation method. Zbl 1290.65130
Ma, Xiaohua; Huang, Chengming
2013
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
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
2000
Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations. Zbl 1291.65020
Huang, Chengming
2014
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
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
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
2015
Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. Zbl 0930.65090
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
1999
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
2011
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
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
Dissipativity of one-leg methods for dynamical systems with delays. Zbl 0965.65136
Huang, Chengming
2000
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
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations. Zbl 1246.65013
Huang, Chengming; Gan, Siqing; Wang, Desheng
2012
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2015
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
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
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
2005
Stability of linear multistep methods for delay integro-differential equations. Zbl 1142.65380
Huang, Chengming
2008
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 fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
2018
Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. Zbl 1077.65079
Huang, Chengming; Chang, Qianshun
2004
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. Zbl 1409.65057
Wang, Nan; Huang, Chengming
2018
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
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
Strong convergence of split-step theta methods for non-autonomous stochastic differential equations. Zbl 1309.65011
Yue, Chao; Huang, Chengming; Jiang, Fengze
2014
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
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
2020
Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation. Zbl 1448.65167
Li, Meng; Huang, Chengming; Zhang, Zongbiao
2018
Linear stability of general linear methods for systems of neutral delay differential equations. Zbl 0989.65078
Huang, Chengming; Chang, Qianshun
2001
Stability analysis of numerical methods for systems of functional-differential and functional equations. Zbl 1035.65089
Huang, Chengming; Chang, Qianshun
2002
Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations. Zbl 1255.65145
Qu, Xiaomei; Huang, Chengming
2012
Superconvergence in collocation methods for Volterra integral equations with vanishing delays. Zbl 1346.65079
Ming, Wanyuan; Huang, Chengming; Li, Meng
2016
The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. Zbl 07042456
Li, Min; Huang, Chengming
2019
$$D$$-convergence of Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2001
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
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. Zbl 1443.65145
Wang, Pengde; Huang, Chengming
2016
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
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
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
Huang, Chengming
2009
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
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
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
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
2020
$$D$$-convergence of general linear methods for stiff delay differential equations. Zbl 0989.65079
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan
2001
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
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. Zbl 1395.65080
Li, Meng; Huang, Chengming; Ming, Wanyuan
2018
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1184.65047
Wu, Shulin; Huang, Chengming
2009
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
Analytical and numerical stability of nonlinear neutral delay integro-differential equations. Zbl 1226.65111
Hu, Peng; Huang, Chengming
2011
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
Asymptotic stability of multistep methods for nonlinear delay differential equations. Zbl 1161.65063
Huang, Chengming
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
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
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
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming
2016
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
Hu, Yangzi; Huang, Chengming
2012
Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays. Zbl 1426.65215
Ming, Wanyuan; Huang, Chengming; Zhao, Longbin
2018
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. Zbl 1483.65164
Fei, Mingfa; Huang, Chengming
2020
Newton waveform relaxation method for solving algebraic nonlinear equations. Zbl 1151.65046
Wu, Shulin; Huang, Chengming; Liu, Yong
2008
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
2009
Mean-square stability and convergence of a split-step theta method for stochastic Volterra integral equations. Zbl 1451.65009
Li, Min; Huang, Chengming; Hu, Peng; Wen, Jiao
2021
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; Huang, Chengming
2013
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 1474.65496
Hu, Peng; Huang, Chengming
2014
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
2010
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
2009
Exponential fitting collocation methods for a class of Volterra integral equations. Zbl 1475.65223
Zhao, Longbin; Huang, Chengming
2020
Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps. Zbl 07332942
Li, Min; Huang, Chengming; Chen, Ziheng
2021
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
Coupled particle and mesh method in an Euler frame for unsteady flows around the pitching airfoil. Zbl 07511086
Huang, C.; Zhao, L.; Niu, J. P.; Di, J. J.; Yuan, J. J.; Zhao, Q. L.; Zhang, F. Q.; Zhang, Z. H.; Lei, J. M.; He, G. P.
2022
Linear stability of numerical methods for systems of functional differential equations with a proportional delay. Zbl 1035.65090
Huang, Chengming; Gan, Siqing
2003
A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation. Zbl 1436.65099
Fei, Mingfa; Wang, Nan; Huang, Chengming; Ma, Xiaohua
2020
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
Relaxation Newton iteration for a class of algebraic nonlinear systems. Zbl 1201.65082
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
Asymptotic separation for stochastic Volterra integral equations with doubly singular kernels. Zbl 1460.45005
Li, Min; Huang, Chengming; Hu, Yaozhong
2021
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations. Zbl 1473.65221
Zhang, Guoyu; Huang, Chengming; Fei, Mingfa; Wang, Nan
2021
Delay dependent stability of stochastic split-step $$\theta$$ methods for stochastic delay differential equations. Zbl 1429.65017
Hu, Peng; Huang, Chengming
2018
Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation. Zbl 1480.35349
Wang, Nan; Li, Meng; Huang, Chengming
2021
Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 07563194
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2022
A high-order L2 type difference scheme for the time-fractional diffusion equation. Zbl 07426910
Alikhanov, Anatoly A.; Huang, Chengming
2021
$$A$$-stability is equivalent to $$B$$-convergence. Zbl 0925.65139
Huang, Chengming
1995
Coupled particle and mesh method in an Euler frame for unsteady flows around the pitching airfoil. Zbl 07511086
Huang, C.; Zhao, L.; Niu, J. P.; Di, J. J.; Yuan, J. J.; Zhao, Q. L.; Zhang, F. Q.; Zhang, Z. H.; Lei, J. M.; He, G. P.
2022
Conforming and nonconforming VEMs for the fourth-order reaction-subdiffusion equation: a unified framework. Zbl 07563194
Li, Meng; Zhao, Jikun; Huang, Chengming; Chen, Shaochun
2022
Mean-square stability and convergence of a split-step theta method for stochastic Volterra integral equations. Zbl 1451.65009
Li, Min; Huang, Chengming; Hu, Peng; Wen, Jiao
2021
Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps. Zbl 07332942
Li, Min; Huang, Chengming; Chen, Ziheng
2021
Asymptotic separation for stochastic Volterra integral equations with doubly singular kernels. Zbl 1460.45005
Li, Min; Huang, Chengming; Hu, Yaozhong
2021
A linearized high-order Galerkin finite element approach for two-dimensional nonlinear time fractional Klein-Gordon equations. Zbl 1473.65221
Zhang, Guoyu; Huang, Chengming; Fei, Mingfa; Wang, Nan
2021
Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation. Zbl 1480.35349
Wang, Nan; Li, Meng; Huang, Chengming
2021
A high-order L2 type difference scheme for the time-fractional diffusion equation. Zbl 07426910
Alikhanov, Anatoly A.; Huang, Chengming
2021
Delay dependent asymptotic mean square stability analysis of the stochastic exponential Euler method. Zbl 1485.65013
Hu, Peng; Huang, Chengming
2021
Recovery of high order accuracy in spectral collocation method for linear Volterra integral equations of the third-kind with non-smooth solutions. Zbl 1472.65163
Ma, Xiaohua; Huang, Chengming
2021
Galerkin-Legendre spectral method for the nonlinear Ginzburg-Landau equation with the Riesz fractional derivative. Zbl 1486.65192
Fei, Mingfa; Huang, Chengming; Wang, Nan; Zhang, Guoyu
2021
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
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
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
Galerkin-Legendre spectral method for the distributed-order time fractional fourth-order partial differential equation. Zbl 1483.65164
Fei, Mingfa; Huang, Chengming
2020
Exponential fitting collocation methods for a class of Volterra integral equations. Zbl 1475.65223
Zhao, Longbin; Huang, Chengming
2020
Projected Euler-Maruyama method for stochastic delay differential equations under a global monotonicity condition. Zbl 1433.65011
Li, Min; Huang, Chengming
2020
A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation. Zbl 1436.65099
Fei, Mingfa; Wang, Nan; Huang, Chengming; Ma, Xiaohua
2020
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
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
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
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
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; 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 1474.65496
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
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
2013
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; 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
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
Hu, Yangzi; Huang, Chengming
2012
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
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
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
2009
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
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
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
2009
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
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 Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
2001
...and 11 more Documents
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### Cited by 1,122 Authors

 69 Huang, Chengming 34 Wen, Liping 34 Zhang, Chengjian 29 Li, Shoufu 28 Wang, Wansheng 24 Xiao, Aiguo 23 Li, Meng 19 Ding, Xiaohua 19 Gan, Siqing 19 Zhao, Jingjun 18 Xu, Yang 18 Yu, Yuexin 14 Ma, Qiang 14 Macías-Díaz, Jorge Eduardo 14 Wu, Fuke 14 Zhao, Yongliang 12 Gu, Xian-Ming 12 Li, Dongfang 12 Mao, Xuerong 12 Wang, Yushun 11 Bhrawy, Ali Hassan 11 Deng, Feiqi 11 Fu, Yayun 11 Li, Hong 11 Liu, Yang 11 Wang, Nan 11 Wu, Shulin 10 Hu, Dongdong 10 Zhang, Qifeng 9 Cai, Wenjun 9 Hu, Peng 9 Tian, Hongjiong 9 Wang, Pengde 9 Zhou, Shaobo 8 Hendy, Ahmed S. 8 Wang, Sheng 8 Zhang, Zhiyue 8 Zong, Xiaofeng 7 Cong, Yuhao 7 Fei, Mingfa 7 Jiang, Daqing 7 Liu, Linna 7 Liu, Wei 7 Ming, Wanyuan 7 Wang, Dongling 7 Wang, Linshan 7 Xie, Jianqiang 7 Yue, Chao 7 Zaky, Mahmoud A. 7 Zhao, Longbin 7 Zhu, Quanxin 6 Amiraliyev, Gabil M. 6 Guo, Qian 6 Hu, Shigeng 6 Liu, Fawang 6 Pedas, Arvet 6 Qin, Hongyu 6 Sun, Haiwei 6 Tamme, Enn 6 Wang, Junjie 6 Wei, LeiLei 6 Xing, Zhiyong 6 Yin, Baoli 6 Yuan, Chenggui 5 Băleanu, Dumitru I. 5 Chen, Huabin 5 Cheng, Xiujun 5 Hu, Guangda 5 Huang, Ting-Zhu 5 Jian, Huanyan 5 Liang, Hui 5 Mao, Wei 5 Nguyen-Ba, Truong 5 Tang, Yifa 5 Vaillancourt, Rémi 5 Wei, Tengda 5 Xiao, Yu 5 Yang, Zhanwen 5 Yuan, Haiyan 5 Zhang, Gengen 5 Zhang, Qimin 5 Zhang, Wei 5 Zhao, Xile 4 Abbaszadeh, Mostafa 4 Brunner, Hermann 4 Cao, Wanrong 4 Cong, Fuzhong 4 Dehghan Takht Fooladi, Mehdi 4 Doha, Eid H. 4 Fan, Yan 4 Feng, Lichao 4 Hao, Zhaopeng 4 Hu, Guixin 4 Hu, Junhao 4 Hu, Liangjian 4 Hu, Yangzi 4 Janković, Svetlana 4 Jiang, Xiaoyun 4 Lan, Guangqiang 4 Li, Haihong ...and 1,022 more Authors
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### Cited in 134 Serials

 119 Applied Mathematics and Computation 93 Journal of Computational and Applied Mathematics 81 Applied Numerical Mathematics 49 International Journal of Computer Mathematics 37 Computers & Mathematics with Applications 34 Numerical Algorithms 31 Advances in Difference Equations 23 Journal of Scientific Computing 23 Computational and Applied Mathematics 21 Applied Mathematics Letters 20 Mathematics and Computers in Simulation 19 Communications in Nonlinear Science and Numerical Simulation 17 Abstract and Applied Analysis 15 Journal of Mathematical Analysis and Applications 12 Journal of Computational Physics 11 Journal of the Franklin Institute 11 Mathematical Problems in Engineering 11 Advances in Applied Mathematics and Mechanics 10 Chaos, Solitons and Fractals 9 BIT 9 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical Methods in the Applied Sciences 8 Discrete Dynamics in Nature and Society 8 Journal of Applied Mathematics and Computing 8 Frontiers of Mathematics in China 7 Systems & Control Letters 7 Nonlinear Dynamics 6 International Journal of Control 6 Engineering Analysis with Boundary Elements 6 Journal of Difference Equations and Applications 6 Journal of Applied Mathematics 6 Journal of Function Spaces 6 International Journal of Applied and Computational Mathematics 5 Physica A 5 Mathematical and Computer Modelling 5 Filomat 5 Advances in Computational Mathematics 5 Journal of Inequalities and Applications 5 Nonlinear Analysis. Hybrid Systems 5 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 AIMS Mathematics 4 Applicable Analysis 4 Journal of Computational Mathematics 4 Acta Mathematicae Applicatae Sinica. English Series 4 Applied Mathematical Modelling 4 Fractional Calculus & Applied Analysis 4 International Journal of Biomathematics 4 Advances in Mathematical Physics 4 Communications on Applied Mathematics and Computation 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Stochastic Analysis and Applications 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Scientific Computing 3 Kragujevac Journal of Mathematics 3 Journal of Applied Analysis and Computation 3 Mathematical Sciences 3 Journal of Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematics of Computation 2 Automatica 2 Information Sciences 2 Science in China. Series A 2 Neural Networks 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Differential Equations and Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Hacettepe Journal of Mathematics and Statistics 2 Numerical Mathematics: Theory, Methods and Applications 2 Journal of Nonlinear Science and Applications 2 Science China. Mathematics 2 East Asian Journal on Applied Mathematics 2 Computational Methods for Differential Equations 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 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 Calcolo 1 Computing 1 Demonstratio Mathematica 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Mathematica Numerica Sinica 1 Statistics & Probability Letters 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 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 ETNA. Electronic Transactions on Numerical Analysis ...and 34 more Serials
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### Cited in 35 Fields

 758 Numerical analysis (65-XX) 276 Ordinary differential equations (34-XX) 273 Partial differential equations (35-XX) 207 Probability theory and stochastic processes (60-XX) 133 Integral equations (45-XX) 90 Real functions (26-XX) 51 Systems theory; control (93-XX) 44 Biology and other natural sciences (92-XX) 30 Fluid mechanics (76-XX) 17 Dynamical systems and ergodic theory (37-XX) 14 Quantum theory (81-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Operator theory (47-XX) 9 Computer science (68-XX) 9 Mechanics of deformable solids (74-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Mechanics of particles and systems (70-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Optics, electromagnetic theory (78-XX) 3 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 1 General and overarching topics; collections (00-XX) 1 Potential theory (31-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 Relativity and gravitational theory (83-XX)