Edit Profile (opens in new tab) Zhang, Luming Co-Author Distance Author ID: zhang.luming Published as: Zhang, Luming; Zhang, Lu-ming; Zhang, Lu-Ming more...less Documents Indexed: 125 Publications since 1999, including 1 Additional arXiv Preprint Co-Authors: 70 Co-Authors with 121 Joint Publications 3,009 Co-Co-Authors all top 5 Co-Authors 2 single-authored 20 Wang, Tingchun 16 Ji, Bingquan 14 Wang, Shanshan 12 Li, Xin 11 Chang, Qianshun 10 Hu, Xiuling 10 Liao, Feng 9 Pan, Xintian 7 Chen, Fangqi 7 Li, Xuelong 7 Liao, HongLin 6 Chen, Juan 5 Zhou, Xuanxuan 4 Bai, Dongmei 4 Gong, Yuezheng 4 Sun, Qihang 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 Nie, Liqiang 2 Tao, Dacheng 2 Tian, Qi 2 Wang, Yiju 2 Yang, Yi 1 Chai, Guangying 1 Che, Haitao 1 Dai, Qionghai 1 Fan, Ran 1 Gu, Qianping 1 Han, Yahong 1 Huang, Suzhen 1 Ji, Rongrong 1 Jiang, Yong 1 Li, Ping 1 Li, Xianggui 1 Liu, Fen 1 Liu, Xueyi 1 Liu, Zhenguang 1 Liu, Zicheng 1 Lu, Zhenguang 1 Ma, Liming 1 Shao, Ling 1 Sheng, Zhou 1 Wang, Changbo 1 Wang, Jindi 1 Wang, Meng 1 Wei, Xinxin 1 Xu, Qiubin 1 Xu, Yiqiang 1 Xue, Guanyu 1 Yan, Shuicheng 1 Yang, Yang 1 Yao, Yiyang 1 Yu, Yi 1 Zhang, Chao 1 Zhang, Jing 1 Zhang, Ting 1 Zhao, Qi 1 Zheng, Kelong 1 Zhong, Jialing 1 Zhou, Yinzuo 1 Zhu, Mingzhe 1 Zimmermann, Roger 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 all top 5 Fields 109 Numerical analysis (65-XX) 95 Partial differential equations (35-XX) 10 Information and communication theory, circuits (94-XX) 9 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 2 Real functions (26-XX) 2 Quantum theory (81-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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(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 ...and 9 more Serials all top 5 Cited in 32 Fields 677 Numerical analysis (65-XX) 579 Partial differential equations (35-XX) 74 Real functions (26-XX) 56 Fluid mechanics (76-XX) 25 Mechanics of deformable solids (74-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Quantum theory (81-XX) 18 Integral equations (45-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Ordinary differential equations (34-XX) 12 Approximations and expansions (41-XX) 12 Optics, electromagnetic theory (78-XX) 11 Biology and other natural sciences (92-XX) 6 Special functions (33-XX) 6 Operations research, mathematical programming (90-XX) 5 Difference and functional equations (39-XX) 5 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) Citations by Year