## Zhang, Luming

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 Author ID: 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
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### 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
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### 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
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### Fields

 106 Numerical analysis (65-XX) 92 Partial differential equations (35-XX) 34 Mechanics of deformable solids (74-XX) 10 Information and communication theory, circuits (94-XX) 8 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 5 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### 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
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
2005
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
2012
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
2010
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
2012
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
2006
A conservative numerical scheme for a class of nonlinear Schrödinger equation with wave operator. Zbl 1037.65092
Zhang, Luming; Chang, Qianshun
2003
Conservative difference methods for the Klein-Gordon-Zakharov equations. Zbl 1123.65091
Wang, Tingchun; Chen, Juan; Zhang, Luming
2007
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
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.
1997
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
2012
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
2008
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
2012
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
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
2013
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2007
Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Zbl 1360.65213
Liao, Feng; Zhang, Luming
2016
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
2013
Low rank approximation of a Hankel matrix by structured total least norm. Zbl 0944.65043
Park, H.; Zhang, L.; Rosen, J. B.
1999
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
2009
A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1315.65073
Hu, Xiuling; Zhang, Luming
2014
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
2012
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
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
2020
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
2011
Theory and applications of problem solving. Zbl 0864.68093
Zhang, B.; Zhang, L.
1992
Exact local controllability of a one-control reaction-diffusion system. Zbl 1136.93007
Wang, G.; Zhang, L.
2006
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
2011
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
2013
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
2009
A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation. Zbl 1274.65240
Sun, Qihang; Zhang, Luming; Wang, Shanshan; Hu, Xiuling
2013
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
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
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.
2006
The axisymmetric consolidation of a semi-infinite transversely isotropic saturated soil. Zbl 1140.74494
Chen, S. L.; Chen, L. Z.; Zhang, L. M.
2005
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
2007
A conservative finite difference scheme for a class of nonlinear Schrödinger equations with wave operator. Zbl 1032.65099
Zhang, Luming; Li, Xianggui
2002
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
2011
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
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
2015
Vibration of open circular cylindrical shells with intermediate ring supports. Zbl 1121.74383
Zhang, L.; Xiang, Y.
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.
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
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
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
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
2020
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
2013
On some enrichments of reproducing kernel particle method. Zbl 1179.74184
Zhou, J. X.; Wang, X. M.; Zhang, Z. Q.; Zhang, L.
2004
A new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
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.
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.
2005
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 07262129
Liao, Feng; Zhang, Luming; Wang, Shanshan
2018
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
2012
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2008
Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations. Zbl 1428.45011
Zhang, L.; Xing, Y. F.
2019
Conservative difference scheme based on numerical analysis for nonlinear Schrödinger equation with wave operator. Zbl 1111.65076
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2006
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
2006
Improved bounds for on-line load balancing. Zbl 0916.68013
Andrews, M.; Goemans, M. X.; Zhang, L.
1999
A conserving nine points finite difference scheme for the sine-Gordon equation. Zbl 1008.65065
Zhang, Luming; Chang, Qenshun
1999
Numerical computations for $$N$$-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
2013
Interfacial stresses in curved members bonded with a thin plate. Zbl 1120.74613
De Lorenzis, L.; Teng, J. G.; Zhang, L.
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.
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
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.
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
2019
Stabilizing role of nonlocal interaction on spatio-temporal pattern formation. Zbl 1387.35046
Banerjee, M.; Zhang, L.
2016
Long-range predictive control using weighting-sequence models. Zbl 0629.93038
Clarke, D. W.; Zhang, L.
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.
2014
A stabilized complementarity formulation for nonlinear analysis of 3D bimodular materials. Zbl 1348.74030
Zhang, L.; Zhang, H. W.; Wu, J.; Yan, B.
2016
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
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
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
2012
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
2009
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
2011
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
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
2020
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
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.
2005
On the estimation of skewness of a statistic using the jackknife and the bootstrap. Zbl 0743.62031
Tu, D.; Zhang, L.
1992
Higher-order asymptotic crack-tip fields in a power-law creeping material. Zbl 1015.74015
Chao, Y. J.; Zhu, X. K.; Zhang, L.
2001
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
2016
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
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.
2014
Wind energy management with battery storage. Zbl 1196.90057
Zhang, L.; Wirth, A.
2010
New conservative schemes for regularized long wave equation. Zbl 1133.65069
Wang, Tingchun; Zhang, Luming
2006
An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. Zbl 1150.65020
Xu, Qiubin; Zhang, Luming
2007
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equations. Zbl 1164.65458
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
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
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.
1999
A difference scheme for nonlinear Schrödinger equation involving quintic term. Zbl 0960.35098
Zhang, Luming; Chang, Qianshun
2000
A class of high accuracy characteristic difference method for convection-diffusion equations. Zbl 1117.65351
Huang, Suzhen; Zhang, Luming
2005
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
2020
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
2017
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
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.
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
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.
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.
2012
An adaptive BDF2 implicit time-stepping method for the phase field crystal model. Zbl 07465510
Liao, Hong-Lin; Ji, Bingquan; Zhang, Luming
2022
A second-order fast compact scheme with unequal time-steps for subdiffusion problems. Zbl 1466.65072
Li, Xin; Liao, Hong-lin; Zhang, Luming
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
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
2020
Simple maximum principle preserving time-stepping methods for time-fractional Allen-Cahn equation. Zbl 1437.35683
Ji, Bingquan; Liao, Hong-lin; Zhang, Luming
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
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
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
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
2020
An efficient spectral-collocation difference method for two-dimensional Schrödinger equation with Neumann boundary conditions. Zbl 1437.65214
Li, Xin; Zhang, Luming
2020
A conservative sine pseudo-spectral-difference method for multi-dimensional coupled Gross-Pitaevskii equations. Zbl 1436.65106
Li, Xin; Zhang, Luming
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
2020
A fourth-order exponential wave integrator Fourier pseudo-spectral method for the Klein-Gordon equation. Zbl 1452.65369
Ji, Bingquan; Zhang, Luming
2020
Two energy-conserving and compact finite difference schemes for two-dimensional Schrödinger-Boussinesq equations. Zbl 1456.65071
Liao, Feng; Zhang, Luming; Wang, Tingchun
2020
Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations. Zbl 1428.45011
Zhang, L.; Xing, Y. F.
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
2019
Conservative finite difference methods for fractional Schrödinger-Boussinesq equations and convergence analysis. Zbl 1418.65103
Liao, Feng; Zhang, Luming; Hu, Xiuling
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.
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
2019
Conservative compact finite difference scheme for the $$N$$-coupled nonlinear Klein-Gordon equations. Zbl 1418.65100
Ji, Bingquan; Zhang, Luming; Zhou, Xuanxuan
2019
Two numerical methods for the Zakharov-Rubenchik equations. Zbl 1415.65239
Zhou, Xuanxuan; Wang, Tingchun; Zhang, Luming
2019
Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. Zbl 07262129
Liao, Feng; Zhang, Luming; Wang, Shanshan
2018
Error estimates of a trigonometric integrator sine pseudo-spectral method for the extended Fisher-Kolmogorov equation. Zbl 1462.65163
Li, Xin; Zhang, Luming
2018
A conservative compact difference scheme for the Zakharov equations in one space dimension. Zbl 1387.65093
Zhou, Xuanxuan; Zhang, Luming
2018
An exponential wave integrator Fourier pseudospectral method for the nonlinear Schrödinger equation with wave operator. Zbl 1404.65197
Ji, Bingquan; Zhang, Luming
2018
Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. Zbl 07470651
Liao, Feng; Zhang, Luming
2018
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations. Zbl 1368.65199
Liao, Feng; Zhang, Luming; Wang, Shanshan
2017
A new numerical scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1379.65064
Li, Xin; Zhang, Luming; Zhang, Ting
2017
Numerical approximation of solution for the coupled nonlinear Schrödinger equations. Zbl 1368.65132
Chen, Juan; Zhang, Lu-ming
2017
On the convergence of a high-accuracy conservative scheme for the Zakharov equations. Zbl 1411.65115
Pan, Xintian; Zhang, Luming
2017
A new numerical method for fourth-order fractional diffusion-wave system. Zbl 1399.65296
Hu, Xiuling; Zhang, Luming
2017
Conservative compact finite difference scheme for the coupled Schrödinger-Boussinesq equation. Zbl 1360.65213
Liao, Feng; Zhang, Luming
2016
Stabilizing role of nonlocal interaction on spatio-temporal pattern formation. Zbl 1387.35046
Banerjee, M.; Zhang, L.
2016
A stabilized complementarity formulation for nonlinear analysis of 3D bimodular materials. Zbl 1348.74030
Zhang, L.; Zhang, H. W.; Wu, J.; Yan, B.
2016
An analysis of a second order difference scheme for the fractional subdiffusion system. Zbl 1446.65067
Hu, Xiuling; Zhang, Luming
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
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
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
2015
A new implicit compact difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1315.65073
Hu, Xiuling; Zhang, Luming
2014
Conservative compact difference schemes for the coupled nonlinear Schrödinger system. Zbl 1302.65192
Hu, Xiuling; Zhang, Luming
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.
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.
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.
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
2013
Finite difference discretization of the Rosenau-RLW equation. Zbl 1290.65079
Pan, Xintian; Zheng, Kelong; Zhang, Luming
2013
A new finite difference scheme for generalized Rosenau-Burgers equation. Zbl 1329.65192
Xue, Guan-Yu; Zhang, Luming
2013
A conservative compact difference scheme for the coupled Klein-Gordon-Schrödinger equation. Zbl 1274.65240
Sun, Qihang; Zhang, Luming; Wang, Shanshan; Hu, Xiuling
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
2013
An efficient split-step compact finite difference method for cubic-quintic complex Ginzburg-Landau equations. Zbl 1301.65096
Wang, Shanshan; Zhang, Luming
2013
Numerical computations for $$N$$-coupled nonlinear Schrödinger equations by split step spectral methods. Zbl 1329.65239
Wang, Shanshan; Wang, Tingchun; Zhang, Luming
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.
2013
Probabilistic graphlet transfer for photo cropping. Zbl 1373.94487
Zhang, Luming; Song, Mingli; Zhao, Qi; Liu, Xiao; Bu, Jiajun; Chen, Chun
2013
Two energy conserving numerical schemes for the Klein-Gordon-Zakharov equations. Zbl 1397.65133
Chen, Juan; Zhang, Luming
2013
On the convergence of a conservative numerical scheme for the usual Rosenau-RLW equation. Zbl 1252.65144
Pan, Xintian; Zhang, Luming
2012
On finite difference methods for fourth-order fractional diffusion-wave and subdiffusion systems. Zbl 1262.65101
Hu, Xiuling; Zhang, Luming
2012
Implicit compact difference schemes for the fractional cable equation. Zbl 1252.74061
Hu, Xiuling; Zhang, Luming
2012
Alternating direction implicit method for solving two-dimensional cubic nonlinear Schrödinger equation. Zbl 1277.65073
Xu, Yiqiang; Zhang, Luming
2012
A compact finite difference scheme for the nonlinear Schrödinger equation with wave operator. Zbl 1309.65099
Li, Xin; Zhang, Luming; Wang, Shanshan
2012
Numerical simulation for general rosenau-RLW equation: an average linearized conservative scheme. Zbl 1264.65140
Pan, Xintian; Zhang, Luming
2012
A new finite difference scheme for the Rosenau-Burgers equation. Zbl 1245.65111
Pan, Xintian; Zhang, Luming
2012
Numerical simulation for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1358.65055
Chen, Juan; Zhang, Lu-ming
2012
A conservative finite difference scheme for generalized symmetric regularized long wave equations. Zbl 1274.65230
Bai, Yan; Zhang, Luming
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
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.
2012
A compact finite difference scheme for the fourth-order fractional diffusion-wave system. Zbl 1262.65102
Hu, Xiuling; Zhang, Luming
2011
Numerical analysis for a conservative difference scheme to solve the Schrödinger-Boussinesq equation. Zbl 1230.65099
Zhang, Luming; Bai, Dongmei; Wang, Shanshan
2011
Split-step orthogonal spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions. Zbl 1231.65183
Wang, Shanshan; Zhang, Luming
2011
The quadratic B-spline finite-element method for the coupled Schrödinger-Boussinesq equations. Zbl 1216.35130
Bai, Dongmei; Zhang, Luming
2011
Discrete-time orthogonal spline collocation methods for the nonlinear Schrödinger equation with wave operator. Zbl 1211.65136
Wang, Shanshan; Zhang, Luming; Fan, Ran
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
2011
Convergence of a nonlinear finite difference scheme for the Kuramoto-Tsuzuki equation. Zbl 1221.65230
Wang, Shanshan; Wang, Tingchun; Zhang, Luming; Guo, Boling
2011
New conservative difference schemes for a coupled nonlinear Schrödinger system. Zbl 1205.65242
Wang, Tingchun; Guo, Boling; Zhang, Luming
2010
On Sonnier-Christov’s difference scheme for the nonlinear coupled Schrödinger system. Zbl 1224.65215
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2010
Wind energy management with battery storage. Zbl 1196.90057
Zhang, L.; Wirth, A.
2010
Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system. Zbl 1172.65049
Wang, Tingchun; Nie, Tao; Zhang, Luming
2009
The finite element method for the coupled Schrödinger-KdV equations. Zbl 1231.35224
Bai, Dongmei; Zhang, Luming
2009
Analytical solution to 1D coupled water infiltration and deformation in unsaturated soils. Zbl 1273.74317
Wu, L. Z.; Zhang, L. M.
2009
Numerical approximation of solution for the initial-boundary value problem of the Klein-Gordon-Zakharov equations. Zbl 1212.65316
Chen, Juan; Zhang, Luming
2009
A class of conservative orthogonal spline collocation schemes for solving coupled Klein-Gordon-Schrödinger equations. Zbl 1180.65135
Wang, Shanshan; Zhang, Luming
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
2008
Numerical analysis of a multi-symplectic scheme for a strongly coupled Schrödinger system. Zbl 1158.65086
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2008
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equations. Zbl 1164.65458
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
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
2008
Conservative difference methods for the Klein-Gordon-Zakharov equations. Zbl 1123.65091
Wang, Tingchun; Chen, Juan; Zhang, Luming
2007
Conservative schemes for the symmetric regularized long wave equations. Zbl 1124.65080
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2007
A conservative finite difference scheme for symmetric regularized long wave equations. Zbl 1142.65395
Bai, Yan; Zhang, Luming
2007
An ADI scheme for the generalized nonlinear Sine-Gordon equation in two dimensions. Zbl 1150.65020
Xu, Qiubin; Zhang, Luming
2007
Process platform representation based on unified modelling language. Zbl 1108.90312
Zhang, L.; Jiao, J.; Helo, P. T.
2007
Analysis of some new conservative schemes for nonlinear Schrödinger equation with wave operator. Zbl 1161.65349
Wang, Ting-Chun; Zhang, Lu-Ming
2006
Exact local controllability of a one-control reaction-diffusion system. Zbl 1136.93007
Wang, G.; Zhang, L.
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.
2006
Vibration of open circular cylindrical shells with intermediate ring supports. Zbl 1121.74383
Zhang, L.; Xiang, Y.
2006
Conservative difference scheme based on numerical analysis for nonlinear Schrödinger equation with wave operator. Zbl 1111.65076
Wang, Tingchun; Zhang, Luming; Chen, Fangqi
2006
Pseudo-compact conservative finite difference approximate solution for the symmetric regularized-long-wave equation. Zbl 1115.65358
Wang, Tingchun; Zhang, Luming
2006
Interfacial stresses in curved members bonded with a thin plate. Zbl 1120.74613
De Lorenzis, L.; Teng, J. G.; Zhang, L.
2006
New conservative schemes for regularized long wave equation. Zbl 1133.65069
Wang, Tingchun; Zhang, Luming
2006
A finite difference scheme for generalized regularized long-wave equation. Zbl 1080.65079
Zhang, Luming
2005
Convergence of a conservative difference scheme for a class of Klein-Gordon-Schrödinger equations in one space dimension. Zbl 1080.65084
Zhang, Luming
2005
The axisymmetric consolidation of a semi-infinite transversely isotropic saturated soil. Zbl 1140.74494
Chen, S. L.; Chen, L. Z.; Zhang, L. M.
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.
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 ...and 553 more Authors
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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 14 Journal of Scientific Computing 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 2 International Journal of Applied and Computational 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 BIT 1 Calcolo 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 1 Bulletin of the Korean Mathematical Society 1 Computers & Operations Research 1 Machine Learning 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Journal of Difference Equations and Applications 1 Differential Equations and Dynamical Systems 1 Journal of Inequalities and Applications 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Mathematical Modelling and Analysis 1 International Journal of Computational Methods 1 International Journal of Numerical Analysis and Modeling 1 Journal of Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Nonlinear Science and Applications 1 International Journal of Differential Equations 1 International Journal of Numerical Methods and Applications 1 Afrika Matematika 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 ISRN Computational Mathematics 1 Advances in Nonlinear Analysis 1 Computational Methods for Differential Equations 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Electronic Research Archive
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### Cited in 30 Fields

 455 Numerical analysis (65-XX) 382 Partial differential equations (35-XX) 39 Real functions (26-XX) 35 Fluid mechanics (76-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Quantum theory (81-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Mechanics of deformable solids (74-XX) 9 Integral equations (45-XX) 8 Approximations and expansions (41-XX) 8 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 4 Difference and functional equations (39-XX) 4 Operations research, mathematical programming (90-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)