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## Liang, Dong

Compute Distance To:
 Author ID: liang.dong Published as: Liang, D.; Liang, Dong External Links: ORCID
 Documents Indexed: 153 Publications since 1989
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#### Co-Authors

 12 single-authored 11 Wang, Nian 8 Rui, Hongxing 7 Wang, Hong 7 Wang, Wenqia 6 Ding, Dawei 6 Fu, Kai 6 Zhang, Zhiyue 5 Ewing, Richard Edward 5 Li, Wanshan 5 Lyons, Stephen L. 5 Qin, Guan 5 Wu, Jianhong 5 Yuan, Yirang 5 Zhang, Bo 5 Zhao, Weidong 5 Zhou, Zhongguo 4 Cui, Ming 4 Gao, Liping 4 Liu, Qiegen 4 Wang, Shanshan 3 Chen, Wenbin 3 Deng, Dingwen 3 Du, Chuanbin 3 Fan, Yizheng 3 Hou, Baohui 3 Li, Xingjie 3 Sun, Guanying 3 Wang, Bo 3 Wilhelm, Wilbert E. 3 Xie, Jianqiang 2 Cai, Nian 2 Cheng, Aijie 2 Cheng, Yu 2 Guo, Qiang 2 Hu, Gensheng 2 Lin, Yanping 2 Pan, Hongfei 2 Peng, Xi 2 Sun, Tongjun 2 Tang, Jun 2 Wang, Jialing 2 Wang, Yushun 2 Weng, Peixuan 2 Wong, Yau Shu 2 Xie, Weisi 2 Xu, Wenwen 2 Xu, Zongben 2 Yan, Jie 2 Yan, Jinliang 2 Yuan, Qiang 2 Zhang, Fan 2 Zhou, Meiju 1 Akhavan, Yousef 1 Bao, Wenxia 1 Cai, Chenguang 1 Chang, Yuchou 1 Chen, Junning 1 Chen, Michael J. 1 Chen, Qingqing 1 Chen, Yenwei 1 Ding, Lianghui 1 Ding, Yan 1 Dong, Pei 1 Du, Ning 1 Duan, Zhenjie 1 Fan, Min 1 Fan, Yuzheng 1 Feng, David Dagan 1 Feng, Xingdong 1 Gao, Fuzheng 1 Gao, Yulong 1 Gojović, Marija Živković 1 Gong, Sunling 1 Gu, Fenxia 1 Guo, Cunshan 1 Han, Xianhua 1 Hou, Thomas Yizhao 1 Hu, Hongjie 1 Huang, Huaxiong 1 Huang, Jie (Jenny) 1 Huang, Linsheng 1 Huo, Xiukun 1 Iwamoto, Yutaro 1 Ji, Zheng 1 Jiang, Yaolin 1 Jiang, Ziwei 1 Jin, Dequan 1 Jin, Zhen 1 Kandel, Hom N. 1 Kong, Nana 1 Li, Fangxia 1 Li, Feng 1 Li, Feng 1 Li, Shuangdong 1 Li, Wei 1 Li, Wenshu 1 Li, Xiaoyi 1 Li, XinDong 1 Li, Yonghai 1 Li, Yuanfu ...and 79 more Co-Authors
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#### Serials

 11 Journal of Computational and Applied Mathematics 7 Journal of Computational Physics 6 Applied Numerical Mathematics 6 Communications in Computational Physics 5 Numerical Methods for Partial Differential Equations 5 Journal of Scientific Computing 4 Applied Mathematics and Computation 4 Numerical Mathematics 4 International Journal of Numerical Analysis and Modeling 3 Journal of Shandong University. Natural Science Edition 3 Applied Mathematics and Mechanics. (English Edition) 3 IEEE Transactions on Image Processing 3 Journal of University of Science and Technology of China 3 Systems Engineering and Electronics 3 Computational & Mathematical Methods in Medicine 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 International Journal for Numerical Methods in Engineering 2 Acta Mathematicae Applicatae Sinica 2 Acta Mathematicae Applicatae Sinica. English Series 2 Northeastern Mathematical Journal 2 International Journal of Computer Mathematics 2 SIAM Journal on Scientific Computing 2 Journal of Harbin Institute of Technology. New Series 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Chaos, Solitons and Fractals 1 IEEE Transactions on Automatic Control 1 Naval Research Logistics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Numerical Mathematics 1 Mathematica Numerica Sinica 1 Chinese Annals of Mathematics. Series A 1 Acta Automatica Sinica 1 Computers & Operations Research 1 Journal of Shanghai Jiaotong University (Chinese Edition) 1 Journal of Southwest Jiaotong University 1 Journal of Tsinghua University. Science and Technology 1 Science in China. Series A 1 Journal of Southeast University. English Edition 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Applied Mathematics. Series A (Chinese Edition) 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Nonlinear Dynamics 1 Soft Computing 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Far East Journal of Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Progress in Natural Science 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Communications in Information and Systems 1 Communications in Mathematical Sciences 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 Journal of Hefei University of Technology. Natural Science 1 International Journal of Computational Methods 1 Mathematical Biosciences and Engineering 1 AJXJTU. Academic Journal of Xi’an Jiaotong University 1 Journal of Anhui University. Natural Science Edition 1 Journal of Jiangsu University of Science and Technology. Natural Science Edition 1 Applicable Analysis and Discrete Mathematics 1 SIAM Journal on Imaging Sciences 1 International Journal of Biomathematics 1 Communications in Theoretical Physics 1 Journal of Control Science and Engineering 1 Chinese Journal of Engineering Mathematics 1 Science China. Information Sciences 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Numerical Algebra, Control and Optimization 1 International Journal of Numerical Analysis and Modeling. Series B 1 Journal of Applied Analysis and Computation
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#### Fields

 83 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 40 Fluid mechanics (76-XX) 19 Biology and other natural sciences (92-XX) 17 Computer science (68-XX) 13 Optics, electromagnetic theory (78-XX) 11 Geophysics (86-XX) 9 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 Ordinary differential equations (34-XX) 7 Systems theory; control (93-XX) 6 Combinatorics (05-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

84 Publications have been cited 526 times in 359 Documents Cited by Year
An approximation to miscible fluid flows in porous media with point sources and sinks by an Eulerian-Lagrangian localized adjoint method and mixed finite element methods. Zbl 0988.76054
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
2003
Energy-conserved splitting FDTD methods for Maxwell’s equations. Zbl 1185.78020
Chen, Wenbin; Li, Xingjie; Liang, Dong
2008
Population dynamic models with nonlocal delay on bounded domains and their numerical computations. Zbl 1231.35287
Liang, Dong; So, Joseph W.-H.; Zhang, Fan; Zou, Xingfu
2003
Energy-conserved splitting finite-difference time-domain methods for Maxwell’s equations in three dimensions. Zbl 1220.78116
Chen, Wenbin; Li, Xingjie; Liang, Dong
2010
The Laplacian spread of a tree. Zbl 1153.05323
Fan, Yi-Zheng; Xu, Jing; Wang, Yi; Liang, Dong
2008
The splitting finite-difference time-domain methods for Maxwell’s equations in two dimensions. Zbl 1122.78021
Gao, Liping; Zhang, Bo; Liang, Dong
2007
An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. Zbl 1305.76074
Du, Chuanbin; Liang, Dong
2010
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
2013
The least eigenvalue of graphs with given connectivity. Zbl 1171.05365
Ye, Miao-Lin; Fan, Yi-Zheng; Liang, Dong
2009
An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. Zbl 1110.76321
Liang, Dong; Zhao, Weidong
2006
Modelling population growth with delayed nonlocal reaction on 2 dimensions. Zbl 1061.92048
Liang, Dong; Wu, Jianhong; Zhang, Fan
2005
An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks. Zbl 0979.76051
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
A high-order upwind method for the convection-diffusion problem. Zbl 0897.76064
Liang, Dong; Zhao, Weidong
1997
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
2016
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
2014
An ELLAM approximation for highly compressible multicomponent flows in porous media. Zbl 1094.76555
Wang, H.; Liang, D.; Ewing, R. E.; Lyons, S. L.; Qin, G.
2002
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. Zbl 1357.65141
Zhou, Zhongguo; Liang, Dong
2017
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
1991
Computation of a moving drop/bubble on a solid surface using a front-tracking method. Zbl 1161.76541
Huang, Huaxiong; Liang, Dong; Wetton, Brian
2004
The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell’s equations. Zbl 1349.78094
Liang, Dong; Yuan, Qiang
2013
Travelling wave solutions in a delayed predator-prey diffusion PDE system: point-to-periodic and point-to-point waves. Zbl 1250.35171
Liang, Dong; Weng, Peixuan; Wu, Jianhong
2012
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
2009
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
2009
Asymptotic patterns of a structured population diffusing in a two-dimensional strip. Zbl 1152.35409
Weng, Peixuan; Liang, Dong; Wu, Jianhong
2008
An improved numerical simulator for different types of flows in porous media. Zbl 1079.76044
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2003
A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. Zbl 1426.76319
Xu, Wenwen; Liang, Dong; Rui, Hongxing
2017
Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling. Zbl 1380.93133
Ding, Dawei; Yan, Jie; Wang, Nian; Liang, Dong
2017
Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system. Zbl 1306.93056
Ding, Da-Wei; Qin, Xue-Mei; Wang, Nian; Wu, Ting-Ting; Liang, Dong
2014
Augmented Lagrangian-based sparse representation method with dictionary updating for image deblurring. Zbl 1279.68332
Liu, Qiegen; Liang, Dong; Song, Ying; Luo, Jianhua; Zhu, Yuemin; Li, Wenshu
2013
Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations. Zbl 1364.78036
Gao, Liping; Zhang, Bo; Liang, Dong
2008
A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking. Zbl 1110.65091
Liang, Dong; Du, Chuanbin; Wang, Hong
2007
Error estimates for mixed finite element approximations of the viscoelasticity wave equation. Zbl 1071.65129
Gao, Liping; Liang, Dong; Zhang, Bo
2004
Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis. Zbl 0968.76567
Yuan, Yirang; Liang, Dong; Rui, Hongxing
1998
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions. Zbl 1412.65094
Wang, Bo; Liang, Dong
2018
Adaptive synchronization of fractional order complex-variable dynamical networks via pinning control. Zbl 1377.34070
Ding, Da-Wei; Yan, Jie; Wang, Nian; Liang, Dong
2017
The conservative characteristic FD methods for atmospheric aerosol transport problems. Zbl 1349.76461
Fu, Kai; Liang, Dong
2016
Adaptive dictionary learning in sparse gradient domain for image recovery. Zbl 1373.94258
Liu, Qiegen; Wang, Shanshan; Ying, Leslie; Peng, Xi; Zhu, Yanjie; Liang, Dong
2013
Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line. Zbl 1051.65131
Liang, Dong; Zhang, Bo
2004
Predicting the consequences of seawater intrusion and protection projects. Zbl 0988.76518
Yuan, Yirang; Liang, Dong; Rui, Hongxing
2001
An accurate approximation to compressible flow in porous media with wells. Zbl 1072.76571
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. Zbl 1418.65159
Gao, Yulong; Liang, Dong; Li, Yonghai
2019
The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations. Zbl 1427.65157
Deng, Dingwen; Liang, Dong
2018
High-order energy-preserving schemes for the improved Boussinesq equation. Zbl 1407.76109
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong
2018
Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048
Hou, Thomas Y.; Liang, Dong
2009
Decomposition schemes and acceleration techniques in application to production-assembly-distribution system design. Zbl 1278.90130
Liang, Dong; Wilhelm, Wilbert E.
2008
The characteristics-finite difference methods for sea water intrusion numerical simulation and optimal order $$\ell^2$$ error estimates. Zbl 0895.76060
Yuan, Yirang; Liang, Dong; Rui, Hongxing; Wang, Gaohong
1996
Upwind generalized difference schemes for convection-diffusion problems. Zbl 0727.65082
Liang, Dong
1990
The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions. Zbl 1434.65111
Deng, Dingwen; Liang, Dong
2020
A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations. Zbl 07264479
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
A conservative splitting difference scheme for the fractional-in-space Boussinesq equation. Zbl 1444.35132
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
The conservative and fourth-order compact finite difference schemes for regularized long wave equation. Zbl 1419.65033
Wang, Bo; Sun, Tongjun; Liang, Dong
2019
The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. Zbl 1427.65205
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu
2018
Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients. Zbl 1400.65048
Zhou, Zhongguo; Liang, Dong
2018
High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer. Zbl 1411.80005
Deng, Dingwen; Jiang, Yaolin; Liang, Dong
2017
The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
2017
Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell’s equations in negative index metamaterials. Zbl 1372.78020
Li, Wanshan; Liang, Dong
2016
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations. Zbl 1278.76056
Cui, Ming; Fu, Kai; Liang, Dong; Cheng, Yu; Wang, Wenqia
2014
Existence and properties of stationary solution of dynamical neural field. Zbl 1219.35328
Jin, Dequan; Liang, Dong; Peng, Jigen
2011
Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates. Zbl 1156.92035
Sun, Guanying; Liang, Dong; Wang, Wenqia
2009
The modified method of upwind with finite difference fractional steps procedure for the numerical simulation and analysis of seawater intrusion. Zbl 1141.86302
Yuan, Yirang; Liang, Dong; Rui, Hongxing
2006
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
2020
The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model. Zbl 07126192
Li, W.; Liang, D.
2020
Second order in time and space corrected explicit-implicit domain decomposition scheme for convection-diffusion equations. Zbl 1415.76443
Akhavan, Yousef; Liang, Dong; Chen, Michael
2019
The conservative splitting high-order compact finite difference scheme for two-dimensional Schrödinger equations. Zbl 1404.65102
Wang, Bo; Liang, Dong; Sun, Tongjun
2018
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
2018
Global energy-tracking identities and global energy-tracking splitting FDTD schemes for the Drude models of Maxwell’s equations in three-dimensional metamaterials. Zbl 1381.78013
Li, Wanshan; Liang, Dong; Lin, Yanping
2017
ADI-FDTD method for two-dimensional transient electromagnetic problems. Zbl 1373.78437
Li, Wanshan; Zhang, Yile; Wong, Yau Shu; Liang, Dong
2016
Hopf bifurcation control in a FAST TCP and RED model via multiple control schemes. Zbl 1346.93193
Ding, Dawei; Wang, Chun; Ding, Lianghui; Wang, Nian; Liang, Dong
2016
Stability analysis of R&D cooperation in a supply chain. Zbl 1394.90059
Xu, Luyun; Liang, Dong; Duan, Zhenjie; Xiao, Xu
2015
Undersampled MR image reconstruction with data-driven tight frame. Zbl 1343.92265
Liu, Jianbo; Wang, Shanshan; Peng, Xi; Liang, Dong
2015
The time second-order characteristic FEM for nonlinear multicomponent aerosol dynamic equations in environment. Zbl 1329.65222
Fu, Kai; Liang, Dong; Wang, Wenqia; Cui, Ming
2015
Locally one-dimensional-alternating segment explicit-implicit and locally one-dimensional-alternating segment Crank-Nicolson methods for two-dimension parabolic equations. Zbl 1317.65181
Zhang, Shou-Hui; Liang, Dong
2015
Accelerating dynamic cardiac MR imaging using structured sparse representation. Zbl 1307.92159
Cai, Nian; Wang, Shengru; Zhu, Shasha; Liang, Dong
2013
New energy-conserved identitiesand super-convergence of the symmetric EC-S-FDTD scheme for Maxwell’s equations in 2D. Zbl 1373.78435
Gao, Liping; Liang, Dong
2012
A new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
2011
Second-order characteristic schemes in time and age for a nonlinear age-structured population model. Zbl 1214.92058
Liang, Dong; Sun, Guanying; Wang, Wenqia
2011
A generalization of column generation to accelerate convergence. Zbl 1184.90102
Liang, Dong; Wilhelm, Wilbert E.
2010
Wavelet Galerkin methods for aerosol dynamic equations in atmospheric environment. Zbl 1364.76089
Liang, Dong; Guo, Qiang; Gong, Sunling
2009
Structured influenza model for meta-population. Zbl 1342.92238
Gojović, Marija Živković; Liang, Dong; Wu, Jianhong
2009
Spectral property of certain class of graphs associated with generalized Bethe trees and transitive graphs. Zbl 1199.05215
Fan, Yi-Zheng; Li, Shuang-Dong; Liang, Dong
2008
Mixed finite element method for Sobolev equations and its alternating-direction iterative scheme. Zbl 0956.65089
Zhang, Huaiyu; Liang, Dong
1999
A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow. Zbl 0759.76043
Liang, Dong
1991
The energy-preserving finite difference methods and their analyses for system of nonlinear wave equations in two dimensions. Zbl 1434.65111
Deng, Dingwen; Liang, Dong
2020
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
2020
The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model. Zbl 07126192
Li, W.; Liang, D.
2020
Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. Zbl 1418.65159
Gao, Yulong; Liang, Dong; Li, Yonghai
2019
A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations. Zbl 07264479
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
A conservative splitting difference scheme for the fractional-in-space Boussinesq equation. Zbl 1444.35132
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
The conservative and fourth-order compact finite difference schemes for regularized long wave equation. Zbl 1419.65033
Wang, Bo; Sun, Tongjun; Liang, Dong
2019
Second order in time and space corrected explicit-implicit domain decomposition scheme for convection-diffusion equations. Zbl 1415.76443
Akhavan, Yousef; Liang, Dong; Chen, Michael
2019
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions. Zbl 1412.65094
Wang, Bo; Liang, Dong
2018
The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations. Zbl 1427.65157
Deng, Dingwen; Liang, Dong
2018
High-order energy-preserving schemes for the improved Boussinesq equation. Zbl 1407.76109
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong
2018
The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. Zbl 1427.65205
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu
2018
Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients. Zbl 1400.65048
Zhou, Zhongguo; Liang, Dong
2018
The conservative splitting high-order compact finite difference scheme for two-dimensional Schrödinger equations. Zbl 1404.65102
Wang, Bo; Liang, Dong; Sun, Tongjun
2018
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
2018
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. Zbl 1357.65141
Zhou, Zhongguo; Liang, Dong
2017
A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. Zbl 1426.76319
Xu, Wenwen; Liang, Dong; Rui, Hongxing
2017
Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling. Zbl 1380.93133
Ding, Dawei; Yan, Jie; Wang, Nian; Liang, Dong
2017
Adaptive synchronization of fractional order complex-variable dynamical networks via pinning control. Zbl 1377.34070
Ding, Da-Wei; Yan, Jie; Wang, Nian; Liang, Dong
2017
High-order finite difference methods for a second order dual-phase-lagging models of microscale heat transfer. Zbl 1411.80005
Deng, Dingwen; Jiang, Yaolin; Liang, Dong
2017
The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
2017
Global energy-tracking identities and global energy-tracking splitting FDTD schemes for the Drude models of Maxwell’s equations in three-dimensional metamaterials. Zbl 1381.78013
Li, Wanshan; Liang, Dong; Lin, Yanping
2017
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
2016
The conservative characteristic FD methods for atmospheric aerosol transport problems. Zbl 1349.76461
Fu, Kai; Liang, Dong
2016
Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell’s equations in negative index metamaterials. Zbl 1372.78020
Li, Wanshan; Liang, Dong
2016
ADI-FDTD method for two-dimensional transient electromagnetic problems. Zbl 1373.78437
Li, Wanshan; Zhang, Yile; Wong, Yau Shu; Liang, Dong
2016
Hopf bifurcation control in a FAST TCP and RED model via multiple control schemes. Zbl 1346.93193
Ding, Dawei; Wang, Chun; Ding, Lianghui; Wang, Nian; Liang, Dong
2016
Stability analysis of R&D cooperation in a supply chain. Zbl 1394.90059
Xu, Luyun; Liang, Dong; Duan, Zhenjie; Xiao, Xu
2015
Undersampled MR image reconstruction with data-driven tight frame. Zbl 1343.92265
Liu, Jianbo; Wang, Shanshan; Peng, Xi; Liang, Dong
2015
The time second-order characteristic FEM for nonlinear multicomponent aerosol dynamic equations in environment. Zbl 1329.65222
Fu, Kai; Liang, Dong; Wang, Wenqia; Cui, Ming
2015
Locally one-dimensional-alternating segment explicit-implicit and locally one-dimensional-alternating segment Crank-Nicolson methods for two-dimension parabolic equations. Zbl 1317.65181
Zhang, Shou-Hui; Liang, Dong
2015
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
2014
Hybrid control of Hopf bifurcation in a dual model of Internet congestion control system. Zbl 1306.93056
Ding, Da-Wei; Qin, Xue-Mei; Wang, Nian; Wu, Ting-Ting; Liang, Dong
2014
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
Numerical analysis of the second-order characteristic FEM for nonlinear aerosol dynamic equations. Zbl 1278.76056
Cui, Ming; Fu, Kai; Liang, Dong; Cheng, Yu; Wang, Wenqia
2014
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
2013
The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell’s equations. Zbl 1349.78094
Liang, Dong; Yuan, Qiang
2013
Augmented Lagrangian-based sparse representation method with dictionary updating for image deblurring. Zbl 1279.68332
Liu, Qiegen; Liang, Dong; Song, Ying; Luo, Jianhua; Zhu, Yuemin; Li, Wenshu
2013
Adaptive dictionary learning in sparse gradient domain for image recovery. Zbl 1373.94258
Liu, Qiegen; Wang, Shanshan; Ying, Leslie; Peng, Xi; Zhu, Yanjie; Liang, Dong
2013
Accelerating dynamic cardiac MR imaging using structured sparse representation. Zbl 1307.92159
Cai, Nian; Wang, Shengru; Zhu, Shasha; Liang, Dong
2013
Travelling wave solutions in a delayed predator-prey diffusion PDE system: point-to-periodic and point-to-point waves. Zbl 1250.35171
Liang, Dong; Weng, Peixuan; Wu, Jianhong
2012
New energy-conserved identitiesand super-convergence of the symmetric EC-S-FDTD scheme for Maxwell’s equations in 2D. Zbl 1373.78435
Gao, Liping; Liang, Dong
2012
Existence and properties of stationary solution of dynamical neural field. Zbl 1219.35328
Jin, Dequan; Liang, Dong; Peng, Jigen
2011
A new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
2011
Second-order characteristic schemes in time and age for a nonlinear age-structured population model. Zbl 1214.92058
Liang, Dong; Sun, Guanying; Wang, Wenqia
2011
Energy-conserved splitting finite-difference time-domain methods for Maxwell’s equations in three dimensions. Zbl 1220.78116
Chen, Wenbin; Li, Xingjie; Liang, Dong
2010
An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. Zbl 1305.76074
Du, Chuanbin; Liang, Dong
2010
A generalization of column generation to accelerate convergence. Zbl 1184.90102
Liang, Dong; Wilhelm, Wilbert E.
2010
The least eigenvalue of graphs with given connectivity. Zbl 1171.05365
Ye, Miao-Lin; Fan, Yi-Zheng; Liang, Dong
2009
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
2009
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
2009
Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048
Hou, Thomas Y.; Liang, Dong
2009
Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates. Zbl 1156.92035
Sun, Guanying; Liang, Dong; Wang, Wenqia
2009
Wavelet Galerkin methods for aerosol dynamic equations in atmospheric environment. Zbl 1364.76089
Liang, Dong; Guo, Qiang; Gong, Sunling
2009
Structured influenza model for meta-population. Zbl 1342.92238
Gojović, Marija Živković; Liang, Dong; Wu, Jianhong
2009
Energy-conserved splitting FDTD methods for Maxwell’s equations. Zbl 1185.78020
Chen, Wenbin; Li, Xingjie; Liang, Dong
2008
The Laplacian spread of a tree. Zbl 1153.05323
Fan, Yi-Zheng; Xu, Jing; Wang, Yi; Liang, Dong
2008
Asymptotic patterns of a structured population diffusing in a two-dimensional strip. Zbl 1152.35409
Weng, Peixuan; Liang, Dong; Wu, Jianhong
2008
Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations. Zbl 1364.78036
Gao, Liping; Zhang, Bo; Liang, Dong
2008
Decomposition schemes and acceleration techniques in application to production-assembly-distribution system design. Zbl 1278.90130
Liang, Dong; Wilhelm, Wilbert E.
2008
Spectral property of certain class of graphs associated with generalized Bethe trees and transitive graphs. Zbl 1199.05215
Fan, Yi-Zheng; Li, Shuang-Dong; Liang, Dong
2008
The splitting finite-difference time-domain methods for Maxwell’s equations in two dimensions. Zbl 1122.78021
Gao, Liping; Zhang, Bo; Liang, Dong
2007
A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking. Zbl 1110.65091
Liang, Dong; Du, Chuanbin; Wang, Hong
2007
An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. Zbl 1110.76321
Liang, Dong; Zhao, Weidong
2006
The modified method of upwind with finite difference fractional steps procedure for the numerical simulation and analysis of seawater intrusion. Zbl 1141.86302
Yuan, Yirang; Liang, Dong; Rui, Hongxing
2006
Modelling population growth with delayed nonlocal reaction on 2 dimensions. Zbl 1061.92048
Liang, Dong; Wu, Jianhong; Zhang, Fan
2005
Computation of a moving drop/bubble on a solid surface using a front-tracking method. Zbl 1161.76541
Huang, Huaxiong; Liang, Dong; Wetton, Brian
2004
Error estimates for mixed finite element approximations of the viscoelasticity wave equation. Zbl 1071.65129
Gao, Liping; Liang, Dong; Zhang, Bo
2004
Numerical analysis of graded mesh methods for a class of second kind integral equations on the real line. Zbl 1051.65131
Liang, Dong; Zhang, Bo
2004
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
2003
Population dynamic models with nonlocal delay on bounded domains and their numerical computations. Zbl 1231.35287
Liang, Dong; So, Joseph W.-H.; Zhang, Fan; Zou, Xingfu
2003
An improved numerical simulator for different types of flows in porous media. Zbl 1079.76044
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2003
An ELLAM approximation for highly compressible multicomponent flows in porous media. Zbl 1094.76555
Wang, H.; Liang, D.; Ewing, R. E.; Lyons, S. L.; Qin, G.
2002
Predicting the consequences of seawater intrusion and protection projects. Zbl 0988.76518
Yuan, Yirang; Liang, Dong; Rui, Hongxing
2001
An approximation to miscible fluid flows in porous media with point sources and sinks by an Eulerian-Lagrangian localized adjoint method and mixed finite element methods. Zbl 0988.76054
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
An ELLAM-MFEM solution technique for compressible fluid flows in porous media with point sources and sinks. Zbl 0979.76051
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
An accurate approximation to compressible flow in porous media with wells. Zbl 1072.76571
Wang, Hong; Liang, Dong; Ewing, Richard E.; Lyons, Stephen L.; Qin, Guan
2000
Mixed finite element method for Sobolev equations and its alternating-direction iterative scheme. Zbl 0956.65089
Zhang, Huaiyu; Liang, Dong
1999
Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis. Zbl 0968.76567
Yuan, Yirang; Liang, Dong; Rui, Hongxing
1998
A high-order upwind method for the convection-diffusion problem. Zbl 0897.76064
Liang, Dong; Zhao, Weidong
1997
The characteristics-finite difference methods for sea water intrusion numerical simulation and optimal order $$\ell^2$$ error estimates. Zbl 0895.76060
Yuan, Yirang; Liang, Dong; Rui, Hongxing; Wang, Gaohong
1996
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
1991
A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow. Zbl 0759.76043
Liang, Dong
1991
Upwind generalized difference schemes for convection-diffusion problems. Zbl 0727.65082
Liang, Dong
1990
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#### Cited by 650 Authors

 36 Liang, Dong 14 Li, Jichun 10 Huang, Yunqing 9 Wang, Hong 9 Zhang, Zhiyue 8 Li, Wan-Tong 8 Rui, Hongxing 8 Wang, Zhi Cheng 7 Fan, Yizheng 7 Fu, Kai 7 Yuan, Yirang 7 Zhou, Zhongguo 6 Mei, Ming 6 Ruan, Shigui 6 Wang, Yushun 6 Xie, Jianqiang 6 Yi, Taishan 6 Yuan, Yueding 6 Zou, Xingfu 5 Andrade, Enide 5 Bani-Yaghoub, Majid 5 Cai, Jiaxiang 5 Guo, Hui 5 Hong, Jialin 5 Lin, Yanping 5 Robbiano, María 5 Sun, Weiwei 5 Wang, Wenqia 4 Droniou, Jérôme 4 Gao, Fuzheng 4 Gao, Liping 4 Guo, Zhiming 4 Hu, Wenjie 4 Liu, Bolian 4 Trofimchuk, Sergei I. 4 Wang, Yi 4 Wu, Jianhong 4 Zhang, Jiansong 4 Zhao, Weidong 3 Arbogast, Todd 3 Cai, Wenjun 3 Chen, Yanping 3 Cui, Ming 3 Dehghan Takht Fooladi, Mehdi 3 Du, Chuanbin 3 Du, Ning 3 Feng, Hui 3 Gong, Yuezheng 3 Ji, Lihai 3 Kong, Linghua 3 Li, Wanshan 3 Li, XinDong 3 Lin, Guo 3 Ou, Chunhua 3 Rodríguez, Jonnathan 3 Schnaubelt, Roland 3 Sun, Shuyu 3 Wang, Yang 3 Wang, Yifu 3 Xue, Guanyu 3 Yang, Chaoxia 3 Yang, Wei 3 Yin, Jingxue 3 You, Zhifu 2 Abbasbandy, Saeid 2 Aguerrea, Maitere 2 Al-Jararha, Mohammadkheer M. 2 Al-Lawatia, Mohamed 2 Arrarás, Andres 2 Bai, Jiahui 2 Cai, Wentao 2 Cao, Jinde 2 Chen, Haibo 2 Chen, Huanzhen 2 Chen, Wenbin 2 Cheng, Hanz Martin C. 2 Deng, Dingwen 2 Duan, Yueliang 2 Eilinghoff, Johannes 2 Ewing, Richard Edward 2 Fang, Zhiwei 2 Ginting, Victor 2 Hansen, Per Christian 2 Hasík, Karel 2 He, Mingyan 2 Huang, Chieh-Sen 2 Jahnke, Tobias 2 Jia, Hongen 2 Jiang, Guoping 2 Jiang, Ziwen 2 Jiwari, Ram 2 Kopfová, Jana 2 Krell, Stella 2 Kumar, Sarvesh 2 Li, Buyang 2 Li, Hong 2 Li, Lin 2 Li, Xingjie 2 Li, Yonghai 2 Lin, Chikun ...and 550 more Authors
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#### Cited in 99 Serials

 33 Journal of Computational Physics 22 Journal of Computational and Applied Mathematics 22 Linear Algebra and its Applications 17 Applied Mathematics and Computation 17 Journal of Differential Equations 15 Computers & Mathematics with Applications 15 Journal of Scientific Computing 12 Numerical Methods for Partial Differential Equations 9 Journal of Mathematical Analysis and Applications 8 Applied Numerical Mathematics 8 Computational and Applied Mathematics 7 Computer Methods in Applied Mechanics and Engineering 7 Applied Mathematical Modelling 6 Numerische Mathematik 6 Applied Mathematics Letters 6 Advances in Difference Equations 5 Mathematical Problems in Engineering 5 Communications in Nonlinear Science and Numerical Simulation 5 Computational & Mathematical Methods in Medicine 4 Chaos, Solitons and Fractals 4 Mathematics and Computers in Simulation 4 SIAM Journal on Numerical Analysis 4 Abstract and Applied Analysis 4 Nonlinear Analysis. Real World Applications 3 Computers and Fluids 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 International Journal of Computer Mathematics 3 Journal of Dynamics and Differential Equations 3 SIAM Journal on Scientific Computing 3 Journal of Systems Science and Complexity 3 Communications on Pure and Applied Analysis 3 Science China. Mathematics 2 Linear and Multilinear Algebra 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 BIT 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Numerical Algorithms 2 Journal of Nonlinear Science 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Dynamics 2 Journal of Dynamical and Control Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Applied Mathematics 2 Journal of Applied Mathematics and Computing 2 International Journal of Computational Methods 2 Boundary Value Problems 2 Advances in Mathematical Physics 2 Journal of Applied Analysis and Computation 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Czechoslovak Mathematical Journal 1 Journal of Optimization Theory and Applications 1 Kybernetes 1 Transactions of the American Mathematical Society 1 Graphs and Combinatorics 1 Computers & Operations Research 1 Neural Networks 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Mathematical Programming. Series A. Series B 1 Cybernetics and Systems Analysis 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Advances in Computational Mathematics 1 Complexity 1 Discussiones Mathematicae. Graph Theory 1 Taiwanese Journal of Mathematics 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Computational Geosciences 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Nonlinear Science and Applications 1 Symmetry 1 The Journal of Mathematical Neuroscience 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 International Journal of Partial Differential Equations 1 International Journal of Applied and Computational Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Results in Applied Mathematics
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#### Cited in 27 Fields

 203 Numerical analysis (65-XX) 169 Partial differential equations (35-XX) 87 Fluid mechanics (76-XX) 58 Biology and other natural sciences (92-XX) 42 Optics, electromagnetic theory (78-XX) 35 Combinatorics (05-XX) 25 Ordinary differential equations (34-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 17 Dynamical systems and ergodic theory (37-XX) 12 Systems theory; control (93-XX) 8 Computer science (68-XX) 8 Geophysics (86-XX) 8 Operations research, mathematical programming (90-XX) 7 Integral equations (45-XX) 6 Mechanics of deformable solids (74-XX) 5 Real functions (26-XX) 5 Information and communication theory, circuits (94-XX) 4 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX)