## Liang, Dong

Compute Distance To:
 Author ID: liang.dong Published as: Liang, Dong; Liang, D. External Links: ORCID · ResearchGate · dblp
 Documents Indexed: 121 Publications since 1989 Co-Authors: 80 Co-Authors with 109 Joint Publications 3,208 Co-Co-Authors
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### Co-Authors

 12 single-authored 8 Rui, Hongxing 7 Wang, Hong 7 Wang, Wenqia 7 Zhang, Zhiyue 6 Fu, Kai 6 Li, Wanshan 6 Zhou, Zhongguo 5 Cui, Ming 5 Ewing, Richard Edward 5 Hou, Baohui 5 Lyons, Stephen L. 5 Qin, Guan 5 Wu, Jianhong 5 Xie, Jianqiang 5 Yuan, Yirang 5 Zhang, Bo 5 Zhao, Weidong 4 Deng, Dingwen 4 Gao, Liping 3 Chen, Wenbin 3 Du, Chuanbin 3 Li, Xingjie 3 Sun, Guanying 3 Wang, Bo 3 Wang, Jialing 3 Wang, Yushun 3 Xie, Shusen 2 Cheng, Aijie 2 Cheng, Yu 2 Guo, Qiang 2 Huang, Huaxiong 2 Jiang, Yaolin 2 Lin, Yanping 2 Ma, Heping 2 Shi, Yilei 2 Sun, Tongjun 2 Weng, Peixuan 2 Wilhelm, Wilbert E. 2 Wong, Yau Shu 2 Xu, Wenwen 2 Yan, Jinliang 2 Yuan, Qiang 2 Yuan, Yujing 2 Zhang, Fan 1 Akhavan, Yousef 1 Chen, Chunguang 1 Du, Ning 1 Feng, Xingdong 1 Gao, Fuzheng 1 Gao, Yulong 1 Gojović, Marija Živković 1 Gong, Sunling 1 Hou, Thomas Yizhao 1 Kandel, Hom N. 1 Li, Fangxia 1 Li, XinDong 1 Li, Yonghai 1 Lou, Jie 1 Niu, Cuixia 1 Sarai, Maninder 1 Sharpley, Robert C. 1 So, Joseph Wai-Hung 1 Song, Baojun 1 Su, Yanxin 1 Vaidya, Naveen K. 1 Wang, Gaohong 1 Wang, Quanxiang 1 Wang, Xiaogang 1 Wetton, Brian R. 1 Ye, Lu 1 Zeng, Fanhai 1 Zhang, Huaiyu 1 Zhang, Qian 1 Zhang, Shouhui 1 Zhang, Yile 1 Zhao, Tengjin 1 Zheng, Quan 1 Zhou, Hongna 1 Zhu, Hongmei 1 Zou, Xingfu
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### Serials

 12 Journal of Computational and Applied Mathematics 9 Journal of Computational Physics 8 Applied Numerical Mathematics 8 Communications in Computational Physics 6 Journal of Scientific Computing 6 International Journal of Numerical Analysis and Modeling 5 Numerical Methods for Partial Differential Equations 4 Applied Mathematics and Computation 4 Numerical Mathematics 3 Journal of Shandong University. Natural Science Edition 3 International Journal of Computer Mathematics 3 Advances in Applied Mathematics and Mechanics 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 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Northeastern Mathematical Journal 2 SIAM Journal on Scientific Computing 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 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 Science in China. Series A 1 Numerical Algorithms 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 Differential Equations and Dynamical Systems 1 Far East Journal of Applied Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Progress in Natural Science 1 Communications in Mathematical Sciences 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 International Journal of Computational Methods 1 Mathematical Biosciences and Engineering 1 International Journal of Biomathematics 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

 93 Numerical analysis (65-XX) 50 Partial differential equations (35-XX) 45 Fluid mechanics (76-XX) 14 Optics, electromagnetic theory (78-XX) 12 Biology and other natural sciences (92-XX) 11 Geophysics (86-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

83 Publications have been cited 591 times in 376 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
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
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 efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. Zbl 1305.76074
Du, Chuanbin; Liang, Dong
2010
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 new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
2013
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
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
2014
Modelling population growth with delayed nonlocal reaction on 2 dimensions. Zbl 1061.92048
Liang, Dong; Wu, Jianhong; Zhang, Fan
2005
An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. Zbl 1110.76321
Liang, Dong; Zhao, Weidong
2006
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
A high-order upwind method for the convection-diffusion problem. Zbl 0897.76064
Liang, Dong; Zhao, Weidong
1997
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. Zbl 1357.65141
Zhou, Zhongguo; Liang, Dong
2017
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
2009
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
2016
The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations. Zbl 1427.65157
Deng, Dingwen; Liang, Dong
2018
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 conservative and fourth-order compact finite difference schemes for regularized long wave equation. Zbl 1419.65033
Wang, Bo; Sun, Tongjun; Liang, Dong
2019
The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell’s equations. Zbl 1349.78094
Liang, Dong; Yuan, Qiang
2013
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
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 fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking. Zbl 1110.65091
Liang, Dong; Du, Chuanbin; Wang, Hong
2007
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
2009
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
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
The conservative characteristic FD methods for atmospheric aerosol transport problems. Zbl 1349.76461
Fu, Kai; Liang, Dong
2016
High-order energy-preserving schemes for the improved Boussinesq equation. Zbl 1407.76109
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong
2018
The conservative time high-order AVF compact finite difference schemes for two-dimensional variable coefficient acoustic wave equations. Zbl 1436.65102
Hou, Baohui; Liang, Dong; Zhu, Hongmei
2019
Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis. Zbl 0968.76567
Yuan, Yirang; Liang, Dong; Rui, Hongxing
1998
Error estimates for mixed finite element approximations of the viscoelasticity wave equation. Zbl 1071.65129
Gao, Liping; Liang, Dong; Zhang, Bo
2004
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
2014
A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. Zbl 1426.76319
Xu, Wenwen; Liang, Dong; Rui, Hongxing
2017
Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. Zbl 1418.65159
Gao, Yulong; Liang, Dong; Li, Yonghai
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 second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
2017
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
2020
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
Predicting the consequences of seawater intrusion and protection projects. Zbl 0988.76518
Yuan, Yirang; Liang, Dong; Rui, Hongxing
2001
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
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
A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations. Zbl 1475.65085
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
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 new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. Zbl 1427.65205
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu
2018
Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048
Hou, Thomas Y.; Liang, Dong
2009
Upwind generalized difference schemes for convection-diffusion problems. Zbl 0727.65082
Liang, Dong
1990
A conservative splitting difference scheme for the fractional-in-space Boussinesq equation. Zbl 1444.35132
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
2019
Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell’s equations in negative index metamaterials. Zbl 1372.78020
Li, Wanshan; Liang, Dong
2016
A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow. Zbl 0759.76043
Liang, Dong
1991
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
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
Immersed finite element method and its analysis for parabolic optimal control problems with interfaces. Zbl 1464.65134
Zhang, Zhiyue; Liang, Dong; Wang, Quanxiang
2020
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
A new high-order energy-preserving scheme for the modified Korteweg-de Vries equation. Zbl 1359.65220
Yan, Jin-Liang; Zhang, Qian; Zhang, Zhi-Yue; Liang, Dong
2017
Wavelet Galerkin methods for aerosol dynamic equations in atmospheric environment. Zbl 1364.76089
Liang, Dong; Guo, Qiang; Gong, Sunling
2009
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
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
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
Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation. Zbl 1419.65034
Wang, Jialing; Liang, Dong; Wang, Yushun
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
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 spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model. Zbl 1464.65210
Li, W.; Liang, D.
2020
A mass-conservative temporal second order and spatial fourth order characteristic finite volume method for atmospheric pollution advection diffusion problems. Zbl 1433.65175
Fu, Kai; Liang, Dong
2019
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2020
A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem. Zbl 1433.35063
Xu, Wenwen; Liang, Dong; Rui, Hongxing; Li, Xindong
2020
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
Mixed finite element method for Sobolev equations and its alternating-direction iterative scheme. Zbl 0956.65089
Zhang, Huaiyu; Liang, Dong
1999
A generalization of column generation to accelerate convergence. Zbl 1184.90102
Liang, Dong; Wilhelm, Wilbert E.
2010
Structured influenza model for meta-population. Zbl 1342.92238
Gojović, Marija Živković; Liang, Dong; Wu, Jianhong
2009
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
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
Analysis of the energy-conserved S-FDTD scheme for variable coefficient Maxwell’s equations in disk domains. Zbl 1342.35370
Li, Wanshan; Liang, Dong
2016
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
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
A new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
2011
Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping. Zbl 1446.65080
Xie, Jianqiang; Liang, Dong; Zhang, Zhiyue
2020
Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. Zbl 1459.65144
Hou, Baohui; Liang, Dong
2021
The mass-preserving solution-flux scheme for multi-layer interface parabolic equations. Zbl 1459.65146
Kandel, Hom N.; Liang, Dong
2021
A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems. Zbl 1455.76112
Gao, Fuzheng; Liang, Dong
2013
Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. Zbl 1459.65144
Hou, Baohui; Liang, Dong
2021
The mass-preserving solution-flux scheme for multi-layer interface parabolic equations. Zbl 1459.65146
Kandel, Hom N.; Liang, Dong
2021
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
Immersed finite element method and its analysis for parabolic optimal control problems with interfaces. Zbl 1464.65134
Zhang, Zhiyue; Liang, Dong; Wang, Quanxiang
2020
The spatial fourth-order compact splitting FDTD scheme with modified energy-conserved identity for two-dimensional Lorentz model. Zbl 1464.65210
Li, W.; Liang, D.
2020
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2020
A multipoint flux mixed finite element method for Darcy-Forchheimer incompressible miscible displacement problem. Zbl 1433.35063
Xu, Wenwen; Liang, Dong; Rui, Hongxing; Li, Xindong
2020
Two novel energy dissipative difference schemes for the strongly coupled nonlinear space fractional wave equations with damping. Zbl 1446.65080
Xie, Jianqiang; Liang, Dong; Zhang, Zhiyue
2020
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 conservative time high-order AVF compact finite difference schemes for two-dimensional variable coefficient acoustic wave equations. Zbl 1436.65102
Hou, Baohui; Liang, Dong; Zhu, Hongmei
2019
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 1475.65085
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
Analysis of a conservative high-order compact finite difference scheme for the Klein-Gordon-Schrödinger equation. Zbl 1419.65034
Wang, Jialing; Liang, Dong; Wang, Yushun
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
A mass-conservative temporal second order and spatial fourth order characteristic finite volume method for atmospheric pollution advection diffusion problems. Zbl 1433.65175
Fu, Kai; Liang, Dong
2019
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
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
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions. Zbl 1412.65094
Wang, Bo; Liang, Dong
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 new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. Zbl 1427.65205
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu
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 conservative splitting high-order compact finite difference scheme for two-dimensional Schrödinger equations. Zbl 1404.65102
Wang, Bo; Liang, Dong; Sun, Tongjun
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
The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
2017
A new high-order energy-preserving scheme for the modified Korteweg-de Vries equation. Zbl 1359.65220
Yan, Jin-Liang; Zhang, Qian; Zhang, Zhi-Yue; 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
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 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
Analysis of the energy-conserved S-FDTD scheme for variable coefficient Maxwell’s equations in disk domains. Zbl 1342.35370
Li, Wanshan; Liang, Dong
2016
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 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
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
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
A new weighted upwind finite volume element method based on non-standard covolume for time-dependent convection-diffusion problems. Zbl 1455.76112
Gao, Fuzheng; 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
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 new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
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
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
2009
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
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
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
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 569 Authors

 42 Liang, Dong 14 Li, Jichun 12 Huang, Yunqing 11 Zhang, Zhiyue 9 Rui, Hongxing 9 Wang, Hong 9 Wang, Yushun 9 Zhou, Zhongguo 8 Fu, Kai 8 Li, Wan-Tong 8 Sun, Weiwei 7 Cai, Jiaxiang 7 Mei, Ming 7 Wang, Zhi Cheng 7 Xie, Jianqiang 7 Yuan, Yirang 6 Deng, Dingwen 6 Hong, Jialin 6 Ruan, Shigui 6 Yi, Taishan 6 Yuan, Yueding 6 Zou, Xingfu 5 Bani-Yaghoub, Majid 5 Chen, Yanping 5 Droniou, Jérôme 5 Guo, Hui 5 Lin, Yanping 5 Wang, Wenqia 5 Yang, Wei 5 Yang, Yang 5 Zhang, Jiansong 4 Cai, Wenjun 4 Cui, Ming 4 Gao, Fuzheng 4 Gao, Liping 4 Guo, Zhiming 4 Hu, Wenjie 4 Li, Wanshan 4 Ma, Heping 4 Trofimchuk, Sergei I. 4 Wu, Jianhong 4 Xie, Shusen 4 Xue, Guanyu 3 Arbogast, Todd 3 Bokil, Vrushali A. 3 Cheng, Hanz Martin C. 3 Dehghan Takht Fooladi, Mehdi 3 Du, Chuanbin 3 Du, Ning 3 Feng, Hui 3 Ge, Yongbin 3 Gong, Yuezheng 3 He, Mingyan 3 Ji, Lihai 3 Kong, Linghua 3 Li, XinDong 3 Lin, Guo 3 Ou, Chunhua 3 Schnaubelt, Roland 3 Song, Yongli 3 Sun, Pengtao 3 Sun, Shuyu 3 Wang, Yifu 3 Wu, Chengda 3 Yang, Chaoxia 3 Yang, Danping 3 Yin, Jingxue 3 Zhao, Weidong 3 Zhu, Jiang 2 Abbasbandy, Saeid 2 Aguerrea, Maitere 2 Al-Jararha, Mohammadkheer M. 2 Al-Lawatia, Mohamed 2 Arrarás, Andres 2 Bai, Xixian 2 Cai, Wentao 2 Chen, Haibo 2 Chen, Huanzhen 2 Chen, Wenbin 2 Dai, Weizhong 2 Duan, Yueliang 2 Eilinghoff, Johannes 2 Ewing, Richard Edward 2 Fang, Zhiwei 2 Gao, Yulong 2 Ginting, Victor 2 Hasík, Karel 2 Hochbruck, Marlis 2 Hou, Baohui 2 Huang, Chieh-Sen 2 Jahnke, Tobias 2 Jia, Hongen 2 Jiang, Chaolong 2 Jiang, Yunzhi 2 Jiang, Ziwen 2 Jiwari, Ram 2 Kopfová, Jana 2 Krell, Stella 2 Kumar, Sarvesh 2 Le, Kim-Ngan ...and 469 more Authors
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### Cited in 96 Serials

 35 Journal of Computational Physics 24 Journal of Computational and Applied Mathematics 19 Journal of Differential Equations 18 Journal of Scientific Computing 16 Computers & Mathematics with Applications 16 Computational and Applied Mathematics 15 Applied Mathematics and Computation 14 Applied Numerical Mathematics 12 Numerical Methods for Partial Differential Equations 9 Journal of Mathematical Analysis and Applications 9 Advances in Applied Mathematics and Mechanics 8 Computer Methods in Applied Mechanics and Engineering 8 Numerische Mathematik 8 Advances in Difference Equations 7 Applied Mathematical Modelling 7 International Journal of Numerical Analysis and Modeling 5 SIAM Journal on Numerical Analysis 5 International Journal of Computer Mathematics 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics and Computing 3 Computers and Fluids 3 Mathematical Methods in the Applied Sciences 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Dynamics and Differential Equations 3 SIAM Journal on Scientific Computing 3 Advances in Computational Mathematics 3 Abstract and Applied Analysis 3 Communications on Pure and Applied Analysis 3 Advances in Mathematical Physics 3 Science China. Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Chaos, Solitons and Fractals 2 BIT 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Computational Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applications of Mathematics 2 Journal of Nonlinear Science 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Journal of Dynamical and Control Systems 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Boundary Value Problems 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Analysis and Computation 2 AIMS Mathematics 2 Results in Applied Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 Journal of Mathematical Physics 1 Physica A 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Kybernetes 1 Transactions of the American Mathematical Society 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 European Journal of Operational Research 1 Cybernetics and Systems Analysis 1 Fractals 1 Complexity 1 Journal of Difference Equations and Applications 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Computational Geosciences 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics 1 Stochastics and Dynamics 1 Multiscale Modeling & Simulation 1 Mediterranean Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Frontiers of Mathematics in China 1 Journal of Nonlinear Science and Applications 1 Symmetry 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 Vestnik Samarskogo Universiteta. Estestvennonauchnaya Seriya
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### Cited in 28 Fields

 269 Numerical analysis (65-XX) 206 Partial differential equations (35-XX) 106 Fluid mechanics (76-XX) 53 Biology and other natural sciences (92-XX) 52 Optics, electromagnetic theory (78-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Ordinary differential equations (34-XX) 11 Geophysics (86-XX) 8 Integral equations (45-XX) 7 Real functions (26-XX) 7 Mechanics of deformable solids (74-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX)