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Author ID: zhang.luming Recent zbMATH articles by "Zhang, Luming"
Published as: Zhang, Luming; Zhang, Lu-ming; Zhang, Lu-Ming
Documents Indexed: 176 Publications since 1982, including 1 Book
Co-Authors: 63 Co-Authors with 111 Joint Publications
3,003 Co-Co-Authors
all top 5

Co-Authors

4 single-authored
20 Wang, Tingchun
14 Ji, Bingquan
14 Wang, Shanshan
11 Chang, Qianshun
10 Hu, Xiuling
10 Liao, Feng
8 Pan, Xintian
7 Chen, Fangqi
7 Li, Xuelong
6 Chen, Juan
6 Liao, HongLin
5 Zhou, Xuanxuan
4 Bai, Dongmei
4 Gong, Yuezheng
3 Bai, Yan
3 Gao, Yue
3 Nie, Tao
3 Song, Mingli
3 Xia, Yingjie
2 Bu, Jiajun
2 Chen, Chun
2 Guo, Boling
2 Hong, Richang
2 Liu, Xiao
2 Michaleris, Panagiotis
2 Nie, Liqiang
2 Reutzel, E. W.
2 Sun, Qihang
2 Tao, Dacheng
2 Tian, Qi
2 Tu, Dongsheng
2 Wang, Yiju
2 Xiang, Yu
2 Yang, Yi
1 Adey, Robert A.
1 Bilgen, D.
1 Cai, Qingdong
1 Chai, Guangying
1 Che, Haitao
1 Clarke, David W.
1 Dai, Qionghai
1 Dang, Lanfen
1 de Lorenzis, Laura
1 Ernst, Leo J.
1 Fan, Ran
1 Goemans, Michel X.
1 Gosling, P. D.
1 Gu, Qianping
1 Guo, Wenbin
1 Han, Yahong
1 Helo, P. T.
1 Henry, R. M.
1 Hoffman, Eric A.
1 Huang, Suzhen
1 Huang, Yonggang Young
1 Hwang, Keh-Chi
1 Ji, Rongrong
1 Jiang, Yong
1 Lam, N. T. K.
1 Li, Xianggui
1 Liu, Fen
1 Liu, Xueyi
1 Liu, Zhenguang
1 Liu, Zicheng
1 Long, R. M.
1 Lu, Zhenguang
1 Lyell, M. J.
1 Ma, Liming
1 McLennan, Goeffrey
1 Mossaheb, Shahkar
1 Owen, D. Roger J.
1 Paris, Paul C.
1 Park, Haesun
1 Quek, Ser-Tong
1 Reinhardt, J. M.
1 Richard, Serge
1 Rosen, J. Ben
1 Saba, O. I.
1 Shao, Ling
1 Skiba, Alexander Nikolaevich
1 Sonka, Milan
1 Tada, Hiroshi
1 Teng, J. G.
1 Tiedra de Aldecoa, Rafael
1 Treaba, C. G.
1 Uppaluri, Rohith
1 Wang, Changbo
1 Wang, Gengsheng
1 Wang, Meng
1 Wang, Quan
1 Wei, Xinxin
1 Wu, Gui-Tong
1 Xu, Qiubin
1 Xu, Yiqiang
1 Xue, Guanyu
1 Yan, Shuicheng
1 Yang, Yang
1 Yao, Yiyang
1 Yu, Yi
1 Zhang, Chao
...and 6 more Co-Authors
all top 5

Serials

18 Applied Mathematics and Computation
11 IEEE Transactions on Image Processing
8 International Journal of Computer Mathematics
7 Acta Mathematicae Applicatae Sinica
6 Numerical Methods for Partial Differential Equations
5 Acta Mathematica Scientia. Series A. (Chinese Edition)
4 Journal of Computational and Applied Mathematics
4 Applied Numerical Mathematics
4 Mathematica Applicata
4 Numerical Algorithms
4 Communications in Nonlinear Science and Numerical Simulation
3 Computer Methods in Applied Mechanics and Engineering
3 Computer Physics Communications
3 International Journal of Mechanical Sciences
3 International Journal of Solids and Structures
3 Physics Letters. A
3 Applied Mathematical Modelling
3 Advances in Computational Mathematics
2 Modern Physics Letters B
2 Acta Mechanica
2 Computers & Mathematics with Applications
2 Computers and Structures
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Journal of Applied Mechanics
2 Journal of the Mechanics and Physics of Solids
2 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mechanics
2 Applied Mathematics Letters
2 Applied Mathematics. Series A (Chinese Edition)
2 Mathematical Problems in Engineering
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
1 Applicable Analysis
1 IMA Journal of Numerical Analysis
1 International Journal of Control
1 International Journal of Heat and Mass Transfer
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Physica A
1 Wave Motion
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 BIT
1 Information Sciences
1 International Journal for Numerical Methods in Engineering
1 Journal of the Operational Research Society
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Siberian Mathematical Journal
1 Numerical Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Mathematica Hungarica
1 Journal of East China Normal University. Natural Science Edition
1 International Journal of Production Research
1 Algorithmica
1 Journal of Scientific Computing
1 Computational Statistics
1 IEE Proceedings. Part D. Control Theory and Applications
1 Statistische Hefte
1 SIAM Journal on Scientific Computing
1 Numerical Mathematics
1 Transactions of Nanjing University of Aeronautics & Astronautics
1 Chinese Journal of Numerical Mathematics and Applications
1 Functional Differential Equations
1 Journal of Nanjing Normal University. Natural Science Edition
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Journal of Applied Mechanics and Technical Physics
1 European Journal of Mechanics. A. Solids
1 European Journal of Mechanics. B. Fluids
1 CMES. Computer Modeling in Engineering & Sciences
1 International Journal of Computational Methods
1 Iranian Journal of Fuzzy Systems
1 Boundary Value Problems
1 Acta Mechanica Sinica
1 Complex Analysis and Operator Theory
1 Mathematical Modelling of Natural Phenomena
1 Chinese Journal of Engineering Mathematics
1 International Journal of Structural Stability and Dynamics
1 Journal of Jiangsu Normal University. Natural Science Edition

Publications by Year

Citations contained in zbMATH Open

126 Publications have been cited 1,082 times in 498 Documents Cited by Year
A finite difference scheme for generalized regularized long-wave equation. Zbl 1080.65079
Zhang, Luming
66
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
51
2005
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
41
2012
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
41
2010
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
40
2012
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
38
2006
A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. Zbl 1037.65092
Zhang, Luming; Chang, Qianshun
36
2003
Conservative difference methods for the Klein-Gordon-Zakharov equations. Zbl 1123.65091
Wang, Tingchun; Chen, Juan; Zhang, Luming
32
2007
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
31
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
31
2012
Mixed mode near-tip fields for cracks in materials with strain-gradient effects. Zbl 1049.74521
Huang, Y.; Zhang, L.; Guo, T. F.; Hwang, K.-C.
29
1997
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
26
2012
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
25
2008
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
23
2012
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
23
2011
High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation. Zbl 1329.65185
Pan, Xintian; Zhang, Luming
19
2013
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
19
2007
Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Zbl 1360.65213
Liao, Feng; Zhang, Luming
16
2016
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
15
2013
Low rank approximation of a Hankel matrix by structured total least norm. Zbl 0944.65043
Park, H.; Zhang, L.; Rosen, J. B.
15
1999
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
14
2009
A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1315.65073
Hu, Xiuling; Zhang, Luming
13
2014
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
13
2012
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
13
2014
Adaptive second-order Crank-Nicolson time-stepping schemes for time-fractional molecular beam epitaxial growth models. Zbl 1464.35229
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
13
2020
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
12
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
12
2011
Theory and applications of problem solving. Zbl 0864.68093
Zhang, B.; Zhang, L.
12
1992
Exact local controllability of a one-control reaction-diffusion system. Zbl 1136.93007
Wang, G.; Zhang, L.
11
2006
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
10
2011
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
9
2013
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
9
2009
A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation. Zbl 1274.65240
Sun, Qihang; Zhang, Luming; Wang, Shanshan; Hu, Xiuling
9
2013
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
9
2017
Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation. Zbl 1329.65189
Wang, Tingchun; Zhang, Luming; Jiang, Yong
8
2013
Local adaptive differential quadrature for free vibration analysis of cylindrical shells with various boundary conditions. Zbl 1192.74154
Zhang, L.; Xiang, Y.; Wei, G. W.
8
2006
The axisymmetric consolidation of a semi-infinite transversely isotropic saturated soil. Zbl 1140.74494
Chen, S. L.; Chen, L. Z.; Zhang, L. M.
8
2005
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
8
2007
A conservative finite difference scheme for a class of nonlinear Schrödinger equations with wave operator. Zbl 1032.65099
Zhang, Luming; Li, Xianggui
8
2002
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
8
2011
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
8
2020
Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation. Zbl 1320.65119
Pan, Xintian; Wang, Yiju; Zhang, Luming
7
2015
Vibration of open circular cylindrical shells with intermediate ring supports. Zbl 1121.74383
Zhang, L.; Xiang, Y.
7
2006
A nodal integration and post-processing technique based on Voronoi diagram for Galerkin meshless methods. Zbl 1054.74746
Zhou, J. X.; Wen, J. B.; Zhang, H. Y.; Zhang, L.
7
2003
Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme. Zbl 1202.65116
Wang, Tingchun; Nie, Tao; Zhang, Luming; Chen, Fangqi
7
2008
Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation. Zbl 1437.65213
Li, Xin; Gong, Yuezheng; Zhang, Luming
7
2020
Convergence and stability of a conservative finite difference scheme for a class of systems of equations in the interaction of a complex Schrödinger field and real Klein-Gordon field. Zbl 1011.65061
Zhang, Luming; Chang, Qianshun
7
2000
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. Zbl 1444.35140
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
7
2020
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
6
2013
On some enrichments of reproducing kernel particle method. Zbl 1179.74184
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L.
6
2004
A new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
6
2017
Shape optimization using reproducing kernel particle method and an enriched genetic algorithm. Zbl 1151.74401
Zhang, Z. Q.; Zhou, J. X.; Zhou, N.; Wang, X. M.; Zhang, L.
6
2005
Explicit 3-D RKPM shape functions in terms of kernel function moments for accelerated computation. Zbl 1137.74453
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L.
6
2005
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 07262129
Liao, Feng; Zhang, Luming; Wang, Shanshan
6
2018
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
5
2012
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
5
2008
Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations. Zbl 1428.45011
Zhang, L.; Xing, Y. F.
5
2019
Conservative difference scheme based on numerical analysis for nonlinear Schrödinger equation with wave operator. Zbl 1111.65076
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
5
2006
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
5
2006
Improved bounds for on-line load balancing. Zbl 0916.68013
Andrews, M.; Goemans, M. X.; Zhang, L.
5
1999
A conserving nine points finite difference scheme for the sine-Gordon equation. Zbl 1008.65065
Zhang, Luming; Chang, Qenshun
5
1999
Numerical computations for \(N\)-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
4
2013
Interfacial stresses in curved members bonded with a thin plate. Zbl 1120.74613
De Lorenzis, L.; Teng, J. G.; Zhang, L.
4
2006
Analysis of 2-D bimodular materials and wrinkled membranes based on the parametric variational principle and co-rotational approach. Zbl 1352.74460
Zhang, L.; Gao, Q.; Zhang, H. W.
4
2014
Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations. Zbl 1221.65253
Bai, Dongmei; Zhang, Luming
4
2011
Investigations on reproducing kernel particle method enriched by partition of unity and visibility criterion. Zbl 1158.74542
Zhang, Z. Q.; Zhou, J. X.; Wang, X. M.; Zhang, Y. F.; Zhang, L.
4
2004
Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations. Zbl 07041641
Liao, Feng; Zhang, Luming; Wang, Tingchun
4
2019
Stabilizing role of nonlocal interaction on spatio-temporal pattern formation. Zbl 1387.35046
Banerjee, M.; Zhang, L.
4
2016
Long-range predictive control using weighting-sequence models. Zbl 0629.93038
Clarke, D. W.; Zhang, L.
4
1987
Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks. Zbl 1395.34061
Yang, X. L.; Jia, Y. B.; Zhang, L.
4
2014
A stabilized complementarity formulation for nonlinear analysis of 3D bimodular materials. Zbl 1348.74030
Zhang, L.; Zhang, H. W.; Wu, J.; Yan, B.
3
2016
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
3
2012
Sharp \(H^1\)-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations. Zbl 1440.65092
Li, Xin; Zhang, Luming; Liao, Hong-Lin
3
2020
Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation. Zbl 1235.76090
Che, Hai-Tao; Pan, Xin-Tian; Zhang, Lu-Ming; Wang, Yi-Ju
3
2012
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
3
2009
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
3
2011
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
3
2010
A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism. Zbl 1437.65101
Ji, Bingquan; Zhang, Luming; Sun, Qihang
3
2020
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
3
2018
The physical origin of severe low-frequency pressure fluctuations in giant Francis turbines. Zbl 1137.76392
Zhang, R.-K.; Cai, Q.-D.; Wu, J.-Z.; Wu, Y.-L.; Liu, S.-H.; Zhang, L.
3
2005
On the estimation of skewness of a statistic using the jackknife and the bootstrap. Zbl 0743.62031
Tu, D.; Zhang, L.
3
1992
Higher-order asymptotic crack-tip fields in a power-law creeping material. Zbl 1015.74015
Chao, Y. J.; Zhu, X. K.; Zhang, L.
3
2001
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
2
2016
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
2
2017
Existence and nonexistence of solutions on opposing mixed convection problems in boundary layer theory. Zbl 1297.76062
Yang, G. C.; Zhang, L.; Dang, L. F.
2
2014
Wind energy management with battery storage. Zbl 1196.90057
Zhang, L.; Wirth, A.
2
2010
New conservative schemes for regularized long wave equation. Zbl 1133.65069
Wang, Tingchun; Zhang, Luming
2
2006
An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. Zbl 1150.65020
Xu, Qiubin; Zhang, Luming
2
2007
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equations. Zbl 1164.65458
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2
2008
Convergence analysis of a new difference method for Klein-Gordon-Schrödinger equations. Zbl 1164.65030
Wang, Tingchun; Zhang, Luming; Chen, Fangqi; Nie, Tao; Liu, Xueyi
2
2008
The stochastic Newmark algorithm for random analysis of multi-degree-of-freedom nonlinear systems. Zbl 0965.70006
Zhang, L.; Zu, J. W.; Zheng, Z.
2
1999
A difference scheme for nonlinear Schrödinger equation involving quintic term. Zbl 0960.35098
Zhang, Luming; Chang, Qianshun
2
2000
A class of high accuracy characteristic difference method for convection-diffusion equations. Zbl 1117.65351
Huang, Suzhen; Zhang, Luming
2
2005
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
2
2020
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
2
2017
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
2
2019
An analytical analysis of receding contact between a compressible elastic thin film and a rigid substrate due to spherical indentation. Zbl 1425.74066
Wu, G. T.; Wu, J.; Zhang, L.
1
2019
Toward solving the Steiner travelling salesman problem on urban road maps using the branch decomposition of graphs. Zbl 1428.90147
Xia, Yingjie; Zhu, Mingzhe; Gu, Qianping; Zhang, Luming; Li, Xuelong
1
2016
First-passage problem of strongly nonlinear stochastic oscillators with external and internal resonances. Zbl 1348.34110
Wu, Y. J.; Gao, Y. Y.; Zhang, L.
1
2013
Estimation of response of plate structure subject to low veloctiy impact by a solid object. Zbl 1359.74282
Yang, Y.; Lam, N. T. K.; Zhang, L.
1
2012
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
1
2022
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Zbl 1466.65072
Li, Xin; Liao, Hong-lin; Zhang, Luming
1
2021
Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. Zbl 1480.35358
Li, Xin; Gong, Yuezheng; Zhang, Luming
1
2021
Adaptive second-order Crank-Nicolson time-stepping schemes for time-fractional molecular beam epitaxial growth models. Zbl 1464.35229
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
13
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
8
2020
Two novel classes of linear high-order structure-preserving schemes for the generalized nonlinear Schrödinger equation. Zbl 1437.65213
Li, Xin; Gong, Yuezheng; Zhang, Luming
7
2020
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint. Zbl 1444.35140
Ji, Bingquan; Liao, Hong-lin; Gong, Yuezheng; Zhang, Luming
7
2020
Sharp \(H^1\)-norm error estimate of a cosine pseudo-spectral scheme for 2D reaction-subdiffusion equations. Zbl 1440.65092
Li, Xin; Zhang, Luming; Liao, Hong-Lin
3
2020
A dissipative finite difference Fourier pseudo-spectral method for the symmetric regularized long wave equation with damping mechanism. Zbl 1437.65101
Ji, Bingquan; Zhang, Luming; Sun, Qihang
3
2020
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
2
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
1
2020
A dissipative finite difference Fourier pseudo-spectral method for the Klein-Gordon-Schrödinger equations with damping mechanism. Zbl 1474.65392
Ji, Bingquan; Zhang, Luming
1
2020
A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein-Gordon equation. Zbl 1452.65369
Ji, Bingquan; Zhang, Luming
1
2020
Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations. Zbl 1456.65071
Liao, Feng; Zhang, Luming; Wang, Tingchun
1
2020
Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations. Zbl 1428.45011
Zhang, L.; Xing, Y. F.
5
2019
Unconditional \(L^{\infty}\) convergence of a conservative compact finite difference scheme for the N-coupled Schrödinger-Boussinesq equations. Zbl 07041641
Liao, Feng; Zhang, Luming; Wang, Tingchun
4
2019
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
2
2019
An analytical analysis of receding contact between a compressible elastic thin film and a rigid substrate due to spherical indentation. Zbl 1425.74066
Wu, G. T.; Wu, J.; Zhang, L.
1
2019
Optimal \({H}^2\)-error estimates of conservative compact difference scheme for the Zakharov equation in two-space dimension. Zbl 1418.65111
Zhou, Xuanxuan; Wang, Tingchun; Ji, Bingquan; Zhang, Luming
1
2019
Conservative compact finite difference scheme for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1418.65100
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
1
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
1
2019
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 07262129
Liao, Feng; Zhang, Luming; Wang, Shanshan
6
2018
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
3
2018
A conservative compact difference scheme for the Zakharov equations in one space dimension. Zbl 1387.65093
Zhou, Xuanxuan; Zhang, Luming
1
2018
An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1404.65197
Ji, Bingquan; Zhang, Luming
1
2018
Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. Zbl 07470651
Liao, Feng; Zhang, Luming
1
2018
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
9
2017
A new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
6
2017
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
2
2017
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
2
2017
A new numerical method for fourth-order fractional diffusion-wave system. Zbl 1399.65296
Hu, Xiuling; Zhang, Luming
1
2017
Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Zbl 1360.65213
Liao, Feng; Zhang, Luming
16
2016
Stabilizing role of nonlocal interaction on spatio-temporal pattern formation. Zbl 1387.35046
Banerjee, M.; Zhang, L.
4
2016
A stabilized complementarity formulation for nonlinear analysis of 3D bimodular materials. Zbl 1348.74030
Zhang, L.; Zhang, H. W.; Wu, J.; Yan, B.
3
2016
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
2
2016
Toward solving the Steiner travelling salesman problem on urban road maps using the branch decomposition of graphs. Zbl 1428.90147
Xia, Yingjie; Zhu, Mingzhe; Gu, Qianping; Zhang, Luming; Li, Xuelong
1
2016
Numerical analysis of a pseudo-compact C-N conservative scheme for the Rosenau-KdV equation coupling with the Rosenau-RLW equation. Zbl 1320.65119
Pan, Xintian; Wang, Yiju; Zhang, Luming
7
2015
Random forest construction with robust semisupervised node splitting. Zbl 1408.68140
Liu, Xiao; Song, Mingli; Tao, Dacheng; Liu, Zicheng; Zhang, Luming; Chen, Chun; Bu, Jiajun
1
2015
A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1315.65073
Hu, Xiuling; Zhang, Luming
13
2014
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
13
2014
Analysis of 2-D bimodular materials and wrinkled membranes based on the parametric variational principle and co-rotational approach. Zbl 1352.74460
Zhang, L.; Gao, Q.; Zhang, H. W.
4
2014
Impact of bounded noise and shortcuts on the spatiotemporal dynamics of neuronal networks. Zbl 1395.34061
Yang, X. L.; Jia, Y. B.; Zhang, L.
4
2014
Existence and nonexistence of solutions on opposing mixed convection problems in boundary layer theory. Zbl 1297.76062
Yang, G. C.; Zhang, L.; Dang, L. F.
2
2014
High-order linear compact conservative method for the nonlinear Schrödinger equation coupled with the nonlinear Klein-Gordon equation. Zbl 1329.65185
Pan, Xintian; Zhang, Luming
19
2013
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
15
2013
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
9
2013
A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation. Zbl 1274.65240
Sun, Qihang; Zhang, Luming; Wang, Shanshan; Hu, Xiuling
9
2013
Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation. Zbl 1329.65189
Wang, Tingchun; Zhang, Luming; Jiang, Yong
8
2013
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
6
2013
Numerical computations for \(N\)-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
4
2013
First-passage problem of strongly nonlinear stochastic oscillators with external and internal resonances. Zbl 1348.34110
Wu, Y. J.; Gao, Y. Y.; Zhang, L.
1
2013
Probabilistic graphlet transfer for photo cropping. Zbl 1373.94487
Zhang, Luming; Song, Mingli; Zhao, Qi; Liu, Xiao; Bu, Jiajun; Chen, Chun
1
2013
Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations. Zbl 1397.65133
Chen, Juan; Zhang, Luming
1
2013
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
41
2012
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
40
2012
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
31
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
31
2012
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
26
2012
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
23
2012
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
13
2012
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
5
2012
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
3
2012
Numerical analysis of a linear-implicit average scheme for generalized Benjamin-Bona-Mahony-Burgers equation. Zbl 1235.76090
Che, Hai-Tao; Pan, Xin-Tian; Zhang, Lu-Ming; Wang, Yi-Ju
3
2012
Estimation of response of plate structure subject to low veloctiy impact by a solid object. Zbl 1359.74282
Yang, Y.; Lam, N. T. K.; Zhang, L.
1
2012
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
23
2011
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
12
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
12
2011
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
10
2011
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
8
2011
Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrödinger-KdV equations. Zbl 1221.65253
Bai, Dongmei; Zhang, Luming
4
2011
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
3
2011
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
41
2010
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
3
2010
Wind energy management with battery storage. Zbl 1196.90057
Zhang, L.; Wirth, A.
2
2010
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
14
2009
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
9
2009
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
3
2009
Numerical approximation of solution for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1212.65316
Chen, Juan; Zhang, Luming
1
2009
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
25
2008
Numerical simulation of a nonlinearly coupled Schrödinger system: A linearly uncoupled finite difference scheme. Zbl 1202.65116
Wang, Tingchun; Nie, Tao; Zhang, Luming; Chen, Fangqi
7
2008
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
5
2008
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equations. Zbl 1164.65458
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2
2008
Convergence analysis of a new difference method for Klein-Gordon-Schrödinger equations. Zbl 1164.65030
Wang, Tingchun; Zhang, Luming; Chen, Fangqi; Nie, Tao; Liu, Xueyi
2
2008
Conservative difference methods for the Klein-Gordon-Zakharov equations. Zbl 1123.65091
Wang, Tingchun; Chen, Juan; Zhang, Luming
32
2007
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
19
2007
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
8
2007
An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. Zbl 1150.65020
Xu, Qiubin; Zhang, Luming
2
2007
Process platform representation based on unified modelling language. Zbl 1108.90312
Zhang, L.; Jiao, J.; Helo, P. T.
1
2007
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
38
2006
Exact local controllability of a one-control reaction-diffusion system. Zbl 1136.93007
Wang, G.; Zhang, L.
11
2006
Local adaptive differential quadrature for free vibration analysis of cylindrical shells with various boundary conditions. Zbl 1192.74154
Zhang, L.; Xiang, Y.; Wei, G. W.
8
2006
Vibration of open circular cylindrical shells with intermediate ring supports. Zbl 1121.74383
Zhang, L.; Xiang, Y.
7
2006
Conservative difference scheme based on numerical analysis for nonlinear Schrödinger equation with wave operator. Zbl 1111.65076
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
5
2006
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
5
2006
Interfacial stresses in curved members bonded with a thin plate. Zbl 1120.74613
De Lorenzis, L.; Teng, J. G.; Zhang, L.
4
2006
New conservative schemes for regularized long wave equation. Zbl 1133.65069
Wang, Tingchun; Zhang, Luming
2
2006
A finite difference scheme for generalized regularized long-wave equation. Zbl 1080.65079
Zhang, Luming
66
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
51
2005
The axisymmetric consolidation of a semi-infinite transversely isotropic saturated soil. Zbl 1140.74494
Chen, S. L.; Chen, L. Z.; Zhang, L. M.
8
2005
Shape optimization using reproducing kernel particle method and an enriched genetic algorithm. Zbl 1151.74401
Zhang, Z. Q.; Zhou, J. X.; Zhou, N.; Wang, X. M.; Zhang, L.
6
2005
...and 26 more Documents
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Cited by 653 Authors

47 Zhang, Luming
19 Wang, Tingchun
17 Dehghan Takht Fooladi, Mehdi
14 Shi, Dongyang
11 Omrani, Khaled
9 Liao, Feng
9 Pan, Xintian
8 Hu, Jinsong
8 Macías-Díaz, Jorge Eduardo
8 Mei, Liquan
8 Wang, Shanshan
8 Wang, Yushun
8 Wongsaijai, Ben
8 Xu, Youcai
7 Abbaszadeh, Mostafa
7 Chen, Juan
7 Gao, Yali
7 Hu, Bing
7 Li, Hong
7 Li, Shuguang
7 Mouktonglang, Thanasak
7 Poochinapan, Kanyuta
7 Wang, Junjun
6 Bao, Weizhu
6 Dai, Weizhong
6 Liu, Yang
6 Sun, Zhizhong
6 Vong, Seakweng
6 Wang, Junjie
6 Wang, Xiaofeng
6 Yang, Xuehua
6 Zhang, Haixiang
5 Bhrawy, Ali Hassan
5 Chen, Fangqi
5 Du, Yanwei
5 Gao, Guanghua
5 He, Dongdong
5 Hu, Hanzhang
5 Ji, Bingquan
5 Kong, Linghua
5 Li, Meng
5 Ran, Maohua
5 Wang, Zhibo
5 Xiao, Aiguo
5 Xu, Chuanju
5 Xu, Da
5 Zhao, Xiaofei
5 Zhao, Yanmin
4 Bai, Dongmei
4 Cai, Jiaxiang
4 Cheng, Xiujun
4 Hou, Dianming
4 Hu, Xiuling
4 Huang, Chengming
4 Liao, HongLin
4 Nandal, Sarita
4 Oruç, Ömer
4 Pandey, Dwijendra Narain
4 Qian, Xu
4 Qiu, Wenlin
4 Ramos, Juan I.
4 Raslan, Kamal Raslan
4 Song, Songhe
4 Su, Chunmei
4 Sun, Haiwei
4 Wang, Jialing
4 Wong, Patricia J. Y.
4 Zhang, Chengjian
4 Zhang, Gengen
3 Abdelkawy, Mohamed A.
3 Atouani, Noureddine
3 Aydin, Ayhan
3 Biswas, Anjan
3 Castillo, Paul E.
3 Chen, An
3 Chen, Yanping
3 Cui, Jin
3 Doha, Eid H.
3 García López, Carmen María
3 Golbabai, Ahmad
3 Gómez, Sergio Alejandro
3 Guo, Boling
3 Jiang, Chaolong
3 Karakoç, Seydi Battal Gazi
3 Li, Changpin
3 Li, Dongfang
3 Li, Jiyong
3 Li, Xuhao
3 Liang, Dong
3 Liew, Kim Meow
3 Moghaderi, Hamid
3 Mohebbi, Akbar
3 Nie, Tao
3 Pan, Kejia
3 Qin, Hongyu
3 Rouatbi, Asma
3 Shivanian, Elyas
3 Sukantamala, Nattakorn
3 Sun, Hong
3 Taleei, Ameneh
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Cited in 88 Serials

63 Applied Mathematics and Computation
42 Applied Numerical Mathematics
34 Computers & Mathematics with Applications
30 Journal of Computational and Applied Mathematics
26 International Journal of Computer Mathematics
17 Journal of Computational Physics
17 Numerical Methods for Partial Differential Equations
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14 Numerical Algorithms
13 Communications in Nonlinear Science and Numerical Simulation
10 Applied Mathematics Letters
10 Applied Mathematical Modelling
10 Advances in Difference Equations
9 Mathematics and Computers in Simulation
9 Computational and Applied Mathematics
9 Boundary Value Problems
8 Abstract and Applied Analysis
7 Applicable Analysis
7 Mathematical Methods in the Applied Sciences
7 Mathematical Problems in Engineering
7 Journal of Applied Mathematics and Computing
7 Advances in Mathematical Physics
6 Computer Physics Communications
6 Journal of Mathematical Analysis and Applications
6 Nonlinear Dynamics
5 Advances in Computational Mathematics
5 Engineering Analysis with Boundary Elements
4 Chaos, Solitons and Fractals
4 Acta Mathematicae Applicatae Sinica. English Series
4 Journal of Function Spaces
3 SIAM Journal on Numerical Analysis
3 Computational Mathematics and Mathematical Physics
3 Discrete Dynamics in Nature and Society
3 Communications in Computational Physics
3 Advances in Applied Mathematics and Mechanics
3 Mathematical Sciences
2 Computer Methods in Applied Mechanics and Engineering
2 Wave Motion
2 Mathematics of Computation
2 Numerische Mathematik
2 Applications of Mathematics
2 SIAM Journal on Scientific Computing
2 Fractional Calculus & Applied Analysis
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Applied Mathematics
2 Thai Journal of Mathematics
2 Science China. Mathematics
2 Journal of Applied Analysis and Computation
2 East Asian Journal on Applied Mathematics
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2 AIMS Mathematics
2 Communications on Applied Mathematics and Computation
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
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1 BIT
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1 Computing
1 Journal of Computer and System Sciences
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
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1 Turkish Journal of Mathematics
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