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Author ID: zhang.luming Recent zbMATH articles by "Zhang, Luming"
Published as: Zhang, Luming; Zhang, Lu-ming; Zhang, Lu-Ming
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 Computers & Mathematics with Applications
4 Journal of Computational and Applied Mathematics
4 Applied Numerical Mathematics
4 Mathematica Applicata
4 Numerical Algorithms
4 Advances in Computational Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
3 Computer Physics Communications
3 Applied Mathematical Modelling
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Applied Mathematics Letters
2 Applied Mathematics. Series A (Chinese Edition)
2 Journal of Applied Mathematics
2 Journal of Applied Mathematics and Computing
1 Applicable Analysis
1 IMA Journal of Numerical Analysis
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Demonstratio Mathematica
1 Information Sciences
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Journal of East China Normal University. Natural Science Edition
1 Journal of Scientific Computing
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 Mathematical Problems in Engineering
1 Journal of Nanjing Normal University. Natural Science Edition
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Boundary Value Problems
1 Chinese Journal of Engineering Mathematics
1 Journal of Jiangsu Normal University. Natural Science Edition

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 1,335 times in 737 Documents Cited by Year
A finite difference scheme for generalized regularized long-wave equation. Zbl 1080.65079
Zhang, Luming
75
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
64
2005
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
57
2012
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
56
2012
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
50
2006
A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. Zbl 1037.65092
Zhang, Luming; Chang, Qianshun
49
2003
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
48
2010
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
44
2011
Conservative difference methods for the Klein-Gordon-Zakharov equations. Zbl 1123.65091
Wang, Tingchun; Chen, Juan; Zhang, Luming
40
2007
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
39
2008
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
39
2020
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
37
2012
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
35
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
33
2012
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 1493.65168
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
27
2022
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
26
2020
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
25
2012
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
22
2007
Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Zbl 1360.65213
Liao, Feng; Zhang, Luming
22
2016
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
22
2013
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
22
2020
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
22
2013
A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1315.65073
Hu, Xiuling; Zhang, Luming
21
2014
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
18
2011
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
17
2014
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
16
2009
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
15
2012
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
15
2011
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 1510.65261
Liao, Feng; Zhang, Luming; Wang, Shanshan
14
2018
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
13
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
13
2011
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
13
2017
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Zbl 1466.65072
Li, Xin; Liao, Hong-lin; Zhang, Luming
12
2021
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
11
2009
Convergence of an efficient and compact finite difference scheme for the Klein-Gordon-Zakharov equation. Zbl 1329.65189
Wang, Tingchun; Zhang, Luming; Jiang, Yong
11
2013
Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations. Zbl 1456.65071
Liao, Feng; Zhang, Luming; Wang, Tingchun
11
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
11
2020
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
10
2013
A conservative finite difference scheme for a class of nonlinear Schrödinger equations with wave operator. Zbl 1032.65099
Zhang, Luming; Li, Xianggui
10
2002
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
9
2000
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
9
2007
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
9
2015
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
9
2019
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
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
9
2021
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
9
2018
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
8
2008
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
8
2008
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 new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
8
2017
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
7
2011
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
7
2013
Numerical computations for \(N\)-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
7
2013
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
7
2012
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
6
2006
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
6
2012
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
6
2011
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
6
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
6
2020
Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. Zbl 1499.65402
Liao, Feng; Zhang, Luming
6
2018
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
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
5
2012
A conserving nine points finite difference scheme for the sine-Gordon equation. Zbl 1008.65065
Zhang, Luming; Chang, Qenshun
5
1999
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
5
2017
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
4
2017
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. Zbl 1502.65162
Li, Xin; Zhang, Luming
4
2022
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
4
2020
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
4
2019
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
3
2010
A conservative compact difference scheme for the Zakharov equations in one space dimension. Zbl 1387.65093
Zhou, Xuanxuan; Zhang, Luming
3
2018
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
3
2016
An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1404.65197
Ji, Bingquan; Zhang, Luming
3
2018
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
3
2009
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
3
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
3
2020
Conservative compact difference scheme for the Zakharov-Rubenchik equations. Zbl 1499.65397
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
3
2019
Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1430.35208
Hu, Xiuling; Wang, Shanshan; Zhang, Luming
3
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
3
2019
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
Numerical approximation of solution for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1212.65316
Chen, Juan; Zhang, Luming
2
2009
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
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
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
2
2016
Error estimates of a conservative finite difference Fourier pseudospectral method for the Klein-Gordon-Schrödinger equation. Zbl 1453.65222
Ji, Bingquan; Zhang, Luming
2
2020
Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger-Boussinesq system. Zbl 1480.65284
Liao, Feng; Zhang, Luming
2
2021
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
2
2019
Conservative compact finite difference scheme for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1418.65100
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
2
2019
A conservative numerical scheme for some nonlinear Schrödinger equations with quintic terms. Zbl 0934.65099
Zhang, Luming; Chang, Qianshun
1
1999
A conservative numerical scheme for initial and boundary value problem of nonlinear Schrödinger equation. Zbl 0961.65081
Zhang, Luming; Chang, Qianshun
1
2000
A new numerical method for fourth-order fractional diffusion-wave system. Zbl 1399.65296
Hu, Xiuling; Zhang, Luming
1
2017
A new finite difference method for regularized long-wave equations. Zbl 1081.65535
Zhang, Luming; Chang, Qianshun
1
2000
A linear compact scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1363.65129
Li, Xin; Zhang, Luming; Chai, Guangying
1
2016
Probabilistic graphlet transfer for photo cropping. Zbl 1373.94487
Zhang, Luming; Song, Mingli; Zhao, Qi; Liu, Xiao; Bu, Jiajun; Chen, Chun
1
2013
Error estimates of exponential wave integrator Fourier pseudospectral methods for the nonlinear Schrödinger equation. Zbl 1429.65243
Ji, Bingquan; Zhang, Luming
1
2019
A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein-Gordon equation. Zbl 1452.65369
Ji, Bingquan; Zhang, Luming
1
2020
A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation. Zbl 1524.65400
Sun, Qihang; Ji, Bingquan; Zhang, Luming
1
2022
An efficient split-step compact finite difference method for the coupled Gross-Pitaevskii equations. Zbl 1499.65444
Wei, Xinxin; Zhang, Luming; Wang, Shanshan; Liao, Feng
1
2019
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 1493.65168
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
27
2022
High-order conservative energy quadratization schemes for the Klein-Gordon-Schrödinger equation. Zbl 1502.65162
Li, Xin; Zhang, Luming
4
2022
A convex splitting BDF2 method with variable time-steps for the extended Fisher-Kolmogorov equation. Zbl 1524.65400
Sun, Qihang; 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
12
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
9
2021
Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger-Boussinesq system. Zbl 1480.65284
Liao, Feng; Zhang, Luming
2
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
39
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
26
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
22
2020
Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations. Zbl 1456.65071
Liao, Feng; Zhang, Luming; Wang, Tingchun
11
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
11
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
6
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
6
2020
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
4
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
3
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
3
2020
Error estimates of a conservative finite difference Fourier pseudospectral method for the Klein-Gordon-Schrödinger equation. Zbl 1453.65222
Ji, Bingquan; Zhang, Luming
2
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
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
9
2019
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
4
2019
Conservative compact difference scheme for the Zakharov-Rubenchik equations. Zbl 1499.65397
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
3
2019
Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger-Boussinesq equations. Zbl 1430.35208
Hu, Xiuling; Wang, Shanshan; Zhang, Luming
3
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
3
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
2
2019
Conservative compact finite difference scheme for the \(N\)-coupled nonlinear Klein-Gordon equations. Zbl 1418.65100
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
2
2019
Error estimates of exponential wave integrator Fourier pseudospectral methods for the nonlinear Schrödinger equation. Zbl 1429.65243
Ji, Bingquan; Zhang, Luming
1
2019
An efficient split-step compact finite difference method for the coupled Gross-Pitaevskii equations. Zbl 1499.65444
Wei, Xinxin; Zhang, Luming; Wang, Shanshan; Liao, Feng
1
2019
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 1510.65261
Liao, Feng; Zhang, Luming; Wang, Shanshan
14
2018
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
9
2018
Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. Zbl 1499.65402
Liao, Feng; Zhang, Luming
6
2018
A conservative compact difference scheme for the Zakharov equations in one space dimension. Zbl 1387.65093
Zhou, Xuanxuan; Zhang, Luming
3
2018
An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1404.65197
Ji, Bingquan; Zhang, Luming
3
2018
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
13
2017
A new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
8
2017
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
5
2017
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
4
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
22
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
3
2016
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
2
2016
A linear compact scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1363.65129
Li, Xin; Zhang, Luming; Chai, Guangying
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
9
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
21
2014
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
17
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
22
2013
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
22
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
11
2013
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
10
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
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
7
2013
Numerical computations for \(N\)-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
7
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
57
2012
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
56
2012
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
37
2012
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
35
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
33
2012
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
25
2012
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
15
2012
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
7
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
6
2012
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
5
2012
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
44
2011
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
18
2011
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
15
2011
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
13
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
13
2011
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
7
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
6
2011
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
48
2010
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
3
2010
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
16
2009
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
11
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
2
2009
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
39
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
8
2008
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
8
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
40
2007
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
22
2007
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
9
2007
An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. Zbl 1150.65020
Xu, Qiubin; Zhang, Luming
2
2007
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
50
2006
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
6
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
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
75
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
64
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
A class of high accuracy characteristic difference method for convection-diffusion equations. Zbl 1117.65351
Huang, Suzhen; Zhang, Luming
2
2005
A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. Zbl 1037.65092
Zhang, Luming; Chang, Qianshun
49
2003
A conservative finite difference scheme for a class of nonlinear Schrödinger equations with wave operator. Zbl 1032.65099
Zhang, Luming; Li, Xianggui
10
2002
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
9
2000
A difference scheme for nonlinear Schrödinger equation involving quintic term. Zbl 0960.35098
Zhang, Luming; Chang, Qianshun
2
2000
A conservative numerical scheme for initial and boundary value problem of nonlinear Schrödinger equation. Zbl 0961.65081
Zhang, Luming; Chang, Qianshun
1
2000
A new finite difference method for regularized long-wave equations. Zbl 1081.65535
Zhang, Luming; Chang, Qianshun
1
2000
...and 2 more Documents
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Cited by 932 Authors

53 Zhang, Luming
23 Wang, Tingchun
20 Dehghan Takht Fooladi, Mehdi
20 Shi, Dongyang
17 Liao, HongLin
17 Yang, Xuehua
16 Zhang, Haixiang
14 Omrani, Khaled
14 Wang, Yushun
13 Li, Meng
12 Wongsaijai, Ben
11 Mei, Liquan
11 Poochinapan, Kanyuta
10 Li, Hong
10 Liao, Feng
10 Pan, Xintian
10 Xu, Da
9 Abbaszadeh, Mostafa
9 Li, Shuguang
9 Liu, Yang
9 Ran, Maohua
9 Wang, Xiaofeng
8 Chen, Juan
8 Ji, Bingquan
8 Li, Xin
8 Macías-Díaz, Jorge Eduardo
8 Sun, Zhizhong
8 Vong, Seakweng
8 Wang, Junjie
8 Wang, Junjun
8 Wang, Shanshan
8 Xiao, Aiguo
8 Xu, Youcai
8 Zhang, Gengen
7 Dai, Weizhong
7 Gao, Guanghua
7 Gao, Yali
7 He, Yuyu
7 Hu, Bing
7 Hu, Jinsong
7 Jiang, Chaolong
7 Li, Dongfang
7 Mouktonglang, Thanasak
7 Zhang, Jiwei
7 Zhao, Yanmin
6 Bao, Weizhu
6 Feng, Xinlong
6 Hou, Dianming
6 Hu, Hanzhang
6 Kong, Linghua
6 Qian, Xu
6 Qiu, Wenlin
6 Song, Songhe
6 Su, Chunmei
6 Sun, Haiwei
6 Wang, Zhibo
6 Zhang, Zhimin
6 Zhao, Xiaofei
5 Bhrawy, Ali Hassan
5 Cai, Jiaxiang
5 Cai, Wenjun
5 Chen, Fangqi
5 Du, Yanwei
5 Guo, Boling
5 Huang, Chengming
5 Kim, Junseok
5 Li, Jiyong
5 Liu, Nan
5 Oruç, Ömer
5 Ramos, Juan I.
5 Wang, Jialing
5 Wang, Jindi
5 Wong, Patricia J. Y.
5 Xing, Zhiyong
5 Xu, Chuanju
5 Yang, Huaijun
5 Yang, Yin
5 Zhang, Chengjian
5 Zhang, Houchao
4 Bai, Dongmei
4 Biswas, Anjan
4 Chen, Yanping
4 Cheng, Xiujun
4 Cui, Jin
4 Deng, Dingwen
4 García López, Carmen María
4 Gong, Yuezheng
4 He, Dongdong
4 Jiang, Xiaoyun
4 Karakoç, Seydi Battal Gazi
4 Li, Hongwei
4 Li, Xuhao
4 Lyu, Pin
4 Nandal, Sarita
4 Pan, Kejia
4 Pandey, Dwijendra Narain
4 Raslan, Kamal Raslan
4 Ren, Jincheng
4 Rouatbi, Asma
4 Sun, Hong
...and 832 more Authors
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Cited in 109 Serials

69 Applied Mathematics and Computation
58 Computers & Mathematics with Applications
53 Applied Numerical Mathematics
38 Numerical Methods for Partial Differential Equations
36 Journal of Computational and Applied Mathematics
36 International Journal of Computer Mathematics
35 Journal of Scientific Computing
23 Communications in Nonlinear Science and Numerical Simulation
21 Journal of Computational Physics
21 Numerical Algorithms
19 Computational and Applied Mathematics
18 Applied Mathematics Letters
16 Mathematical Methods in the Applied Sciences
15 Mathematics and Computers in Simulation
12 Applied Mathematical Modelling
12 Journal of Applied Mathematics and Computing
12 Advances in Difference Equations
10 Applicable Analysis
10 Boundary Value Problems
9 Advances in Computational Mathematics
9 Nonlinear Dynamics
8 Abstract and Applied Analysis
7 Chaos, Solitons and Fractals
7 Engineering Analysis with Boundary Elements
7 Mathematical Problems in Engineering
7 Advances in Mathematical Physics
6 Computer Physics Communications
6 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Numerical Analysis
6 Journal of Computational Mathematics
6 Journal of Function Spaces
5 Advances in Applied Mathematics and Mechanics
4 Acta Mathematicae Applicatae Sinica. English Series
4 Computational Mathematics and Mathematical Physics
4 SIAM Journal on Scientific Computing
4 Networks and Heterogeneous Media
4 Numerical Mathematics: Theory, Methods and Applications
4 East Asian Journal on Applied Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Fractional Calculus & Applied Analysis
3 Discrete Dynamics in Nature and Society
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications in Computational Physics
3 Science China. Mathematics
3 Mathematical Sciences
3 International Journal of Applied and Computational Mathematics
3 Electronic Research Archive
2 Physica A
2 Wave Motion
2 Mathematics of Computation
2 BIT
2 Demonstratio Mathematica
2 Numerische Mathematik
2 Applications of Mathematics
2 Journal of Difference Equations and Applications
2 Journal of Inequalities and Applications
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Journal of Applied Mathematics
2 Thai Journal of Mathematics
2 Discrete and Continuous Dynamical Systems. Series S
2 Communications in Theoretical Physics
2 Journal of Applied Analysis and Computation
2 Advances in Nonlinear Analysis
2 Annals of Applied Mathematics
2 AIMS Mathematics
2 Communications on Applied Mathematics and Computation
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Calcolo
1 Computing
1 Journal of Computer and System Sciences
1 Networks
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Studies in Applied Mathematics
1 Bulletin of the Korean Mathematical Society
1 Physica D
1 Computers & Operations Research
1 Machine Learning
1 Journal of Partial Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 International Transactions in Operational Research
1 Journal of Mathematical Chemistry
1 Differential Equations and Dynamical Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Nonlinear Mathematical Physics
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Acta Mathematica Scientia. Series B. (English Edition)
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Fixed Point Theory and Applications
1 Kinetic and Related Models
1 Journal of Nonlinear Science and Applications
1 International Journal of Differential Equations
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