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Huang, Chengming

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Author ID: huang.chengming Recent zbMATH articles by "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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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

Publications by Year

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
91
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
57
2018
Exponential mean square stability of numerical methods for systems of stochastic differential equations. Zbl 1251.65003
Huang, Chengming
48
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
47
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
47
1999
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
47
2017
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
41
2014
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
40
2000
Numerical solution of fractional integro-differential equations by a hybrid collocation method. Zbl 1290.65130
Ma, Xiaohua; Huang, Chengming
40
2013
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation. Zbl 1382.65260
Wang, Pengde; Huang, Chengming; Zhao, Longbin
38
2016
Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations. Zbl 1291.65020
Huang, Chengming
36
2014
An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation. Zbl 1351.76191
Wang, Pengde; Huang, Chengming
34
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
33
2010
Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. Zbl 0930.65090
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
32
1999
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
29
2015
Dissipativity of one-leg methods for dynamical systems with delays. Zbl 0965.65136
Huang, Chengming
27
2000
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
25
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
25
2014
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
23
2015
Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation. Zbl 1367.65144
Li, Meng; Huang, Chengming; Wang, Nan
22
2017
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
21
2009
Structure-preserving numerical methods for the fractional Schrödinger equation. Zbl 1393.65055
Wang, Pengde; Huang, Chengming
21
2018
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
20
2005
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
20
2015
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations. Zbl 1246.65013
Huang, Chengming; Gan, Siqing; Wang, Desheng
19
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
19
2009
Stability of linear multistep methods for delay integro-differential equations. Zbl 1142.65380
Huang, Chengming
18
2008
Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. Zbl 1077.65079
Huang, Chengming; Chang, Qianshun
17
2004
Nonlinear stability of general linear methods for delay differential equations. Zbl 1009.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
16
2002
Delay-dependent stability of high order Runge-Kutta methods. Zbl 1167.65045
Huang, Chengming
15
2009
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
15
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
14
2014
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
13
2012
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
13
2019
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. Zbl 1409.65057
Wang, Nan; Huang, Chengming
13
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
11
2017
Stability of stochastic \(\theta \)-methods for stochastic delay integro-differential equations. Zbl 1222.65010
Hu, Peng; Huang, Chengming
11
2011
Linear stability of general linear methods for systems of neutral delay differential equations. Zbl 0989.65078
Huang, Chengming; Chang, Qianshun
11
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
11
2019
Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations. Zbl 1255.65145
Qu, Xiaomei; Huang, Chengming
10
2012
Strong convergence of split-step theta methods for non-autonomous stochastic differential equations. Zbl 1309.65011
Yue, Chao; Huang, Chengming; Jiang, Fengze
10
2014
Stability analysis of numerical methods for systems of functional-differential and functional equations. Zbl 1035.65089
Huang, Chengming; Chang, Qianshun
10
2002
Strong stability preserving hybrid methods. Zbl 1163.65063
Huang, Chengming
9
2009
Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations. Zbl 1400.65035
Hu, Peng; Huang, Chengming; Wu, Shulin
9
2009
\(D\)-convergence of one-leg methods for stiff delay differential equations. Zbl 1007.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
9
2001
\(D\)-convergence of Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
9
2001
Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation. Zbl 1448.65167
Li, Meng; Huang, Chengming; Zhang, Zongbiao
9
2018
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
Huang, Chengming
7
2009
The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. Zbl 07042456
Li, Min; Huang, Chengming
7
2019
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
7
2009
Superconvergence in collocation methods for Volterra integral equations with vanishing delays. Zbl 1346.65079
Ming, Wanyuan; Huang, Chengming; Li, Meng
7
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
6
2012
Analytical and numerical stability of nonlinear neutral delay integro-differential equations. Zbl 1226.65111
Hu, Peng; Huang, Chengming
6
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
6
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
6
2010
Asymptotic stability of multistep methods for nonlinear delay differential equations. Zbl 1161.65063
Huang, Chengming
5
2008
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1184.65047
Wu, Shulin; Huang, Chengming
5
2009
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
Hu, Yangzi; Huang, Chengming
5
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.
5
2001
\(D\)-convergence of general linear methods for stiff delay differential equations. Zbl 0989.65079
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan
5
2001
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. Zbl 1395.65080
Li, Meng; Huang, Chengming; Ming, Wanyuan
5
2018
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
5
2020
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. Zbl 1443.65145
Wang, Pengde; Huang, Chengming
5
2016
An adaptive Filon-type method for oscillatory integrals without stationary points. Zbl 1375.65042
Zhao, Longbin; Huang, Chengming
5
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
5
2020
Newton waveform relaxation method for solving algebraic nonlinear equations. Zbl 1151.65046
Wu, Shulin; Huang, Chengming; Liu, Yong
4
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
4
2015
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming
4
2016
Collocation methods for Volterra functional integral equations with non-vanishing delays. Zbl 1411.65170
Ming, Wanyuan; Huang, Chengming
4
2017
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
Hu, Yangzi; Huang, Chengming
4
2012
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; Huang, Chengming
4
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
4
2020
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
3
2009
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
3
2009
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
3
2010
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
3
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
3
2016
Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays. Zbl 1426.65215
Ming, Wanyuan; Huang, Chengming; Zhao, Longbin
3
2018
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
3
2020
Relaxation Newton iteration for a class of algebraic nonlinear systems. Zbl 1201.65082
Wu, Shulin; Shi, Baochang; Huang, Chengming
2
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
2
2011
Linear stability of numerical methods for systems of functional differential equations with a proportional delay. Zbl 1035.65090
Huang, Chengming; Gan, Siqing
2
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
2
2014
The stochastic \(\Theta\)-method for nonlinear stochastic Volterra integro-differential equations. Zbl 07022655
Hu, Peng; Huang, Chengming
2
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
1
2007
Delay dependent stability of stochastic split-step \(\theta\) methods for stochastic delay differential equations. Zbl 1429.65017
Hu, Peng; Huang, Chengming
1
2018
Projected Euler-Maruyama method for stochastic delay differential equations under a global monotonicity condition. Zbl 1433.65011
Li, Min; Huang, Chengming
1
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
1
2019
Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels. Zbl 1438.65331
Li, Min; Huang, Chengming; Ming, Wanyuan
1
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
1
2010
Analysis of mean-square stability of the parareal algorithm. Zbl 1240.65014
Wu, Shulin; Wang, Zhiyong; Huang, Chengming
1
2011
\(A\)-stability is equivalent to \(B\)-convergence. Zbl 0925.65139
Huang, Chengming
1
1995
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
1
2000
Contractivity of linear multistep methods nonlinear delay differential equations. Zbl 0959.65094
Huang, Chengming
1
1999
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
1
2003
Dissipativity of multistep methods for delay dynamical systems. Zbl 0937.65082
Huang, Chengming
1
1999
Stochastic exponential integrator for finite element spatial discretization of stochastic elastic equation. Zbl 1443.65344
Jiang, Fengze; Huang, Chengming; Wang, Xiaojie
1
2015
A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations. Zbl 1434.65186
Li, Meng; Huang, Chengming; Ming, Wanyuan
5
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
5
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
4
2020
Fast conservative numerical algorithm for the coupled fractional Klein-Gordon-Schrödinger equation. Zbl 1442.65168
Li, Meng; Huang, Chengming; Zhao, Yongliang
3
2020
Projected Euler-Maruyama method for stochastic delay differential equations under a global monotonicity condition. Zbl 1433.65011
Li, Min; Huang, Chengming
1
2020
An efficient difference scheme for the coupled nonlinear fractional Ginzburg-Landau equations with the fractional Laplacian. Zbl 1419.65024
Li, Meng; Huang, Chengming
13
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
11
2019
The linear barycentric rational quadrature method for auto-convolution Volterra integral equations. Zbl 07042456
Li, Min; Huang, Chengming
7
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
1
2019
Barycentric rational collocation methods for Volterra integral equations with weakly singular kernels. Zbl 1438.65331
Li, Min; Huang, Chengming; Ming, Wanyuan
1
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
57
2018
Structure-preserving numerical methods for the fractional Schrödinger equation. Zbl 1393.65055
Wang, Pengde; Huang, Chengming
21
2018
An efficient fourth-order in space difference scheme for the nonlinear fractional Ginzburg-Landau equation. Zbl 1412.65095
Wang, Pengde; Huang, Chengming
15
2018
An efficient split-step quasi-compact finite difference method for the nonlinear fractional Ginzburg-Landau equations. Zbl 1409.65057
Wang, Nan; Huang, Chengming
13
2018
Unconditional error analysis of Galerkin FEMs for nonlinear fractional Schrödinger equation. Zbl 1448.65167
Li, Meng; Huang, Chengming; Zhang, Zongbiao
9
2018
Mixed finite-element method for multi-term time-fractional diffusion and diffusion-wave equations. Zbl 1395.65080
Li, Meng; Huang, Chengming; Ming, Wanyuan
5
2018
Optimal superconvergence results for Volterra functional integral equations with proportional vanishing delays. Zbl 1426.65215
Ming, Wanyuan; Huang, Chengming; Zhao, Longbin
3
2018
Delay dependent stability of stochastic split-step \(\theta\) methods for stochastic delay differential equations. Zbl 1429.65017
Hu, Peng; Huang, Chengming
1
2018
Galerkin finite element method for nonlinear fractional Schrödinger equations. Zbl 1359.65208
Li, Meng; Huang, Chengming; Wang, Pengde
47
2017
Galerkin finite element method for the nonlinear fractional Ginzburg-Landau equation. Zbl 1367.65144
Li, Meng; Huang, Chengming; Wang, Nan
22
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
11
2017
An adaptive Filon-type method for oscillatory integrals without stationary points. Zbl 1375.65042
Zhao, Longbin; Huang, Chengming
5
2017
Collocation methods for Volterra functional integral equations with non-vanishing delays. Zbl 1411.65170
Ming, Wanyuan; Huang, Chengming
4
2017
Point-wise error estimate of a conservative difference scheme for the fractional Schrödinger equation. Zbl 1382.65260
Wang, Pengde; Huang, Chengming; Zhao, Longbin
38
2016
An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation. Zbl 1351.76191
Wang, Pengde; Huang, Chengming
34
2016
Superconvergence in collocation methods for Volterra integral equations with vanishing delays. Zbl 1346.65079
Ming, Wanyuan; Huang, Chengming; Li, Meng
7
2016
Split-step alternating direction implicit difference scheme for the fractional Schrödinger equation in two dimensions. Zbl 1443.65145
Wang, Pengde; Huang, Chengming
5
2016
Double-implicit and split two-step Milstein schemes for stochastic differential equations. Zbl 1355.65013
Jiang, Fengze; Zong, Xiaofeng; Yue, Chao; Huang, Chengming
4
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
3
2016
An energy conservative difference scheme for the nonlinear fractional Schrödinger equations. Zbl 1349.65346
Wang, Pengde; Huang, Chengming
91
2015
A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation. Zbl 1325.65127
Wang, Pengde; Huang, Chengming
29
2015
Theta schemes for SDDEs with non-globally Lipschitz continuous coefficients. Zbl 1306.65011
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
23
2015
Exponential mean square stability of the theta approximations for neutral stochastic differential delay equations. Zbl 1320.34111
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
20
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
4
2015
Stochastic exponential integrator for finite element spatial discretization of stochastic elastic equation. Zbl 1443.65344
Jiang, Fengze; Huang, Chengming; Wang, Xiaojie
1
2015
Spectral collocation method for linear fractional integro-differential equations. Zbl 1427.65421
Ma, Xiaohua; Huang, Chengming
41
2014
Mean square stability and dissipativity of two classes of theta methods for systems of stochastic delay differential equations. Zbl 1291.65020
Huang, Chengming
36
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
25
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
14
2014
Strong convergence of split-step theta methods for non-autonomous stochastic differential equations. Zbl 1309.65011
Yue, Chao; Huang, Chengming; Jiang, Fengze
10
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
2
2014
The stochastic \(\Theta\)-method for nonlinear stochastic Volterra integro-differential equations. Zbl 07022655
Hu, Peng; Huang, Chengming
2
2014
Numerical solution of fractional integro-differential equations by a hybrid collocation method. Zbl 1290.65130
Ma, Xiaohua; Huang, Chengming
40
2013
Delay-dependent dissipativity of nonlinear delay differential equations. Zbl 1308.34095
Hu, Peng; Qi, Rui; Huang, Chengming
4
2013
The boundedness and exponential stability criterions for nonlinear hybrid neutral stochastic functional differential equations. Zbl 1304.34135
Zong, Xiaofeng; Wu, Fuke; Huang, Chengming
3
2013
Exponential mean square stability of numerical methods for systems of stochastic differential equations. Zbl 1251.65003
Huang, Chengming
48
2012
Delay-dependent stability analysis of numerical methods for stochastic delay differential equations. Zbl 1246.65013
Huang, Chengming; Gan, Siqing; Wang, Desheng
19
2012
Unconditionally stable difference methods for delay partial differential equations. Zbl 1272.65066
Huang, Chengming; Vandewalle, Stefan
13
2012
Delay-dependent exponential stability of the backward Euler method for nonlinear stochastic delay differential equations. Zbl 1255.65145
Qu, Xiaomei; Huang, Chengming
10
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
6
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
6
2012
Existence results and the moment estimate for nonlocal stochastic differential equations with time-varying delay. Zbl 1231.34142
Hu, Yangzi; Huang, Chengming
5
2012
LaSalle method and general decay stability of stochastic neural networks with mixed delays. Zbl 1303.34063
Hu, Yangzi; Huang, Chengming
4
2012
Stochastic Lotka-Volterra models with multiple delays. Zbl 1245.92063
Hu, Yangzi; Wu, Fuke; Huang, Chengming
25
2011
Stability of stochastic \(\theta \)-methods for stochastic delay integro-differential equations. Zbl 1222.65010
Hu, Peng; Huang, Chengming
11
2011
Analytical and numerical stability of nonlinear neutral delay integro-differential equations. Zbl 1226.65111
Hu, Peng; Huang, Chengming
6
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
2
2011
Analysis of mean-square stability of the parareal algorithm. Zbl 1240.65014
Wu, Shulin; Wang, Zhiyong; Huang, Chengming
1
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
33
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
6
2010
Stability of Euler-Maruyama method for linear stochastic delay integro-differential equations. Zbl 1224.65011
Hu, Peng; Huang, Chengming
3
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
1
2010
Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays. Zbl 1396.65112
Huang, Chengming; Vandewalle, Stefan
21
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
19
2009
Delay-dependent stability of high order Runge-Kutta methods. Zbl 1167.65045
Huang, Chengming
15
2009
Strong stability preserving hybrid methods. Zbl 1163.65063
Huang, Chengming
9
2009
Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations. Zbl 1400.65035
Hu, Peng; Huang, Chengming; Wu, Shulin
9
2009
Stability analysis of general linear methods for the nonautonomous pantograph equation. Zbl 1169.65080
Huang, Chengming
7
2009
Parareal-Richardson algorithm for solving nonlinear ODEs and PDEs. Zbl 1364.65139
Wu, Shulin; Shi, Baochang; Huang, Chengming
7
2009
Two-step relaxation Newton method for nonsymmetric algebraic Riccati equations arising from transport theory. Zbl 1184.65047
Wu, Shulin; Huang, Chengming
5
2009
Convergence analysis of waveform relaxation methods for neutral differential-functional systems. Zbl 1161.65065
Wu, Shulin; Huang, Chengming
3
2009
Delay-dependent stability analysis of multistep methods for delay differential equations. Zbl 1190.65115
Huang, Cheng-Ming; Hu, Yang-Zi; Tian, Hong-Jiong
3
2009
Relaxation Newton iteration for a class of algebraic nonlinear systems. Zbl 1201.65082
Wu, Shulin; Shi, Baochang; Huang, Chengming
2
2009
Stability of linear multistep methods for delay integro-differential equations. Zbl 1142.65380
Huang, Chengming
18
2008
Asymptotic stability of multistep methods for nonlinear delay differential equations. Zbl 1161.65063
Huang, Chengming
5
2008
Newton waveform relaxation method for solving algebraic nonlinear equations. Zbl 1151.65046
Wu, Shulin; Huang, Chengming; Liu, Yong
4
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
1
2007
Discretized stability and error growth of the nonautonomous pantograph equation. Zbl 1080.65068
Huang, Chengming; Vandewalle, Stefan
20
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
47
2004
Dissipativity of multistep Runge-Kutta methods for dynamical systems with delays. Zbl 1077.65079
Huang, Chengming; Chang, Qianshun
17
2004
Linear stability of numerical methods for systems of functional differential equations with a proportional delay. Zbl 1035.65090
Huang, Chengming; Gan, Siqing
2
2003
B-convergence of general linear methods for stiff problems. Zbl 1067.65080
Huang, Chengming; Chang, Qianshun; Xiao, Aiguo
1
2003
Nonlinear stability of general linear methods for delay differential equations. Zbl 1009.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
16
2002
Stability analysis of numerical methods for systems of functional-differential and functional equations. Zbl 1035.65089
Huang, Chengming; Chang, Qianshun
10
2002
Linear stability of general linear methods for systems of neutral delay differential equations. Zbl 0989.65078
Huang, Chengming; Chang, Qianshun
11
2001
\(D\)-convergence of one-leg methods for stiff delay differential equations. Zbl 1007.65054
Huang, Chengming; Li, Shoufu; Fu, Hongyuan; Chen, Guangnan
9
2001
\(D\)-convergence of Runge-Kutta methods for stiff delay differential equations. Zbl 0986.65073
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
9
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.
5
2001
\(D\)-convergence of general linear methods for stiff delay differential equations. Zbl 0989.65079
Huang, Chengming; Chen, Guangnan; Li, Shoufu; Fu, Hongyuan
5
2001
Dissipativity of Runge-Kutta methods for dynamical systems with delays. Zbl 0944.65134
Huang, Chengming
40
2000
Dissipativity of one-leg methods for dynamical systems with delays. Zbl 0965.65136
Huang, Chengming
27
2000
Regularity of general linear methods. Zbl 0949.65077
Huang, Chengming; Xiao, Aiguo
1
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
47
1999
Stability analysis of Runge-Kutta methods for nonlinear delay differential equations. Zbl 0930.65090
Huang, Chengming; Fu, Hongyuan; Li, Shoufu; Chen, Guangnan
32
1999
Contractivity of linear multistep methods nonlinear delay differential equations. Zbl 0959.65094
Huang, Chengming
1
1999
Dissipativity of multistep methods for delay dynamical systems. Zbl 0937.65082
Huang, Chengming
1
1999
\(A\)-stability is equivalent to \(B\)-convergence. Zbl 0925.65139
Huang, Chengming
1
1995
all top 5

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
all top 5

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
all top 5

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)

Citations by Year