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Author ID: liang.dong Recent zbMATH articles by "Liang, Dong"
Published as: Liang, Dong; Liang, D.
External Links: ORCID · ResearchGate · dblp
all top 5

Co-Authors

12 single-authored
8 Rui, Hongxing
7 Fu, Kai
7 Li, Wanshan
7 Wang, Hong
7 Wang, Wenqia
7 Zhang, Zhiyue
7 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 Helen
3 Ma, Heping
3 Sun, Guanying
3 Wang, Bo
3 Wang, Jialing
3 Wang, Yushun
3 Wong, Yau Shu
3 Xie, Shusen
2 Cheng, Aijie
2 Cheng, Yu
2 Guo, Qiang
2 Huang, Huaxiong
2 Ji, Haifeng
2 Jiang, Yaolin
2 Lin, Yanping
2 Niu, Cuixia
2 Shi, Yilei
2 Sun, Tongjun
2 Tian, Engang
2 Weng, Peixuan
2 Wilhelm, Wilbert E.
2 Xu, Wenwen
2 Yan, Jinliang
2 Yuan, Qiang
2 Yuan, Yujing
2 Zhang, Fan
1 Akhavan, Yousef
1 Cao, Zhigang
1 Chen, Chunguang
1 Cheng, Jing
1 Cui, Zhuoxu
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 Luo, Yuqiang
1 Qin, Dan
1 Sarai, Maninder
1 Sharpley, Robert C.
1 So, Joseph Wai-Hung
1 Song, Baojun
1 Su, Yanxin
1 Vaidya, Naveen K.
1 Wang, Cong
1 Wang, Gaohong
1 Wang, Quanxiang
1 Wang, Xiaogang
1 Wang, Yunlong
1 Wetton, Brian R.
1 Xie, Jinxing
1 Xie, Zheng
1 Yang, Xiaoguang
1 Ye, Lu
1 Zeng, Fanhai
1 Zhai, Ganghui
1 Zhang, Huaiyu
1 Zhang, Qian
1 Zhang, Shouhui
1 Zhang, Yile
1 Zhao, Tengjin
1 Zhao, Xiaobo
1 Zheng, Quan
1 Zhou, Hongna
1 Zhou, Zixi
1 Zhu, Hongmei
1 Zhu, Qingyong
1 Zhu, Wanshan
1 Zou, Xingfu
all top 5

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 Applied Mathematics and Computation
5 Numerical Methods for Partial Differential Equations
4 Numerical Mathematics
3 Computers & Mathematics with Applications
3 Journal of Shandong University. Natural Science Edition
3 International Journal of Computer Mathematics
3 Advances in Applied Mathematics and Mechanics
2 Computer Physics Communications
2 Journal of Mathematical Analysis and Applications
2 Mathematical Methods in the Applied Sciences
2 International Journal for Numerical Methods in Engineering
2 Naval Research Logistics
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 Computers and Fluids
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 Inverse Problems
1 IEEE Transactions on Automatic Control
1 International Journal of Game Theory
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

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 870 times in 518 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
63
2000
Energy-conserved splitting FDTD methods for Maxwell’s equations. Zbl 1185.78020
Chen, Wenbin; Li, Xingjie; Liang, Dong
57
2008
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
47
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
41
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
32
2003
An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. Zbl 1305.76074
Du, Chuanbin; Liang, Dong
30
2010
The splitting finite-difference time-domain methods for Maxwell’s equations in two dimensions. Zbl 1122.78021
Gao, Liping; Zhang, Bo; Liang, Dong
26
2007
The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations. Zbl 1427.65157
Deng, Dingwen; Liang, Dong
24
2018
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
22
2013
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. Zbl 1357.65141
Zhou, Zhongguo; Liang, Dong
19
2017
The conservative characteristic FD methods for atmospheric aerosol transport problems. Zbl 1349.76461
Fu, Kai; Liang, Dong
18
2016
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
16
2020
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
16
2014
An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. Zbl 1110.76321
Liang, Dong; Zhao, Weidong
14
2006
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
14
2020
The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
14
2017
The conservative and fourth-order compact finite difference schemes for regularized long wave equation. Zbl 1419.65033
Wang, Bo; Sun, Tongjun; Liang, Dong
14
2019
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
13
2000
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
13
2016
The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell’s equations. Zbl 1349.78094
Liang, Dong; Yuan, Qiang
12
2013
The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients. Zbl 1427.65205
Zhou, Zhongguo; Liang, Dong; Wong, Yaushu
12
2018
Modelling population growth with delayed nonlocal reaction on 2 dimensions. Zbl 1061.92048
Liang, Dong; Wu, Jianhong; Zhang, Fan
11
2005
A high-order upwind method for the convection-diffusion problem. Zbl 0897.76064
Liang, Dong; Zhao, Weidong
11
1997
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
11
1991
Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. Zbl 1418.65159
Gao, Yulong; Liang, Dong; Li, Yonghai
11
2019
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.
10
2002
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
10
2009
Computation of a moving drop/bubble on a solid surface using a front-tracking method. Zbl 1161.76541
Huang, Huaxiong; Liang, Dong; Wetton, Brian
10
2004
High-order energy-preserving schemes for the improved Boussinesq equation. Zbl 1407.76109
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong
10
2018
A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking. Zbl 1110.65091
Liang, Dong; Du, Chuanbin; Wang, Hong
9
2007
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions. Zbl 1412.65094
Wang, Bo; Liang, Dong
9
2018
A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. Zbl 1426.76319
Xu, Wenwen; Liang, Dong; Rui, Hongxing
9
2017
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
9
2019
Error estimates for mixed finite element approximations of the viscoelasticity wave equation. Zbl 1071.65129
Gao, Liping; Liang, Dong; Zhang, Bo
8
2004
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
8
2009
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
8
2019
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
7
2003
Asymptotic patterns of a structured population diffusing in a two-dimensional strip. Zbl 1152.35409
Weng, Peixuan; Liang, Dong; Wu, Jianhong
7
2008
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
7
2012
High order compact block-centered finite difference schemes for elliptic and parabolic problems. Zbl 1476.65192
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai
7
2021
Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients. Zbl 07508363
Hou, Baohui; Liang, Dong
7
2020
Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis. Zbl 0968.76567
Yuan, Yirang; Liang, Dong; Rui, Hongxing
6
1998
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
6
2014
Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations. Zbl 1364.78036
Gao, Liping; Zhang, Bo; Liang, Dong
6
2008
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
6
2017
Immersed finite element method and its analysis for parabolic optimal control problems with interfaces. Zbl 1464.65134
Zhang, Zhiyue; Liang, Dong; Wang, Quanxiang
6
2020
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
6
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
6
2019
Predicting the consequences of seawater intrusion and protection projects. Zbl 0988.76518
Yuan, Yirang; Liang, Dong; Rui, Hongxing
5
2001
Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell’s equations in negative index metamaterials. Zbl 1372.78020
Li, Wanshan; Liang, Dong
5
2016
Upwind generalized difference schemes for convection-diffusion problems. Zbl 0727.65082
Liang, Dong
5
1990
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
5
2004
Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients. Zbl 1400.65048
Zhou, Zhongguo; Liang, Dong
5
2018
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
5
2020
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
4
2000
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
4
1996
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
4
2013
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions. Zbl 1501.65037
Hou, Baohui; Liang, Dong
4
2021
A time second-order mass-conserved implicit-explicit domain decomposition scheme for solving the diffusion equations. Zbl 1488.65322
Zhou, Zhongguo; Liang, Dong
4
2017
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.
4
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
4
2019
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
4
2020
Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. Zbl 1459.65144
Hou, Baohui; Liang, Dong
4
2021
Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell’s equations. Zbl 07508494
Xie, Jianqiang; Liang, Dong; Zhang, Zhiyue
4
2021
A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow. Zbl 0759.76043
Liang, Dong
3
1991
Numerical analysis to discontinuous Galerkin methods for the age structured population model of marine invertebrates. Zbl 1156.92035
Sun, Guanying; Liang, Dong; Wang, Wenqia
3
2009
Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048
Hou, Thomas Y.; Liang, Dong
3
2009
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
3
2017
ADI-FDTD method for two-dimensional transient electromagnetic problems. Zbl 1373.78437
Li, Wanshan; Zhang, Yile; Wong, Yau Shu; Liang, Dong
3
2016
The coupled within- and between-host dynamics in the evolution of HIV/AIDS in China. Zbl 1448.39031
Lou, Jie; Zhou, Hongna; Liang, Dong; Jin, Zhen; Song, Baojun
3
2015
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
3
2018
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption. Zbl 1522.65153
Shi, Yilei; Xie, Shusen; Liang, Dong
3
2022
The energy conservative splitting FDTD scheme and its energy identities for metamaterial electromagnetic Lorentz system. Zbl 07684938
Li, Wanshan; Liang, Dong
3
2019
A conservative splitting difference scheme for the fractional-in-space Boussinesq equation. Zbl 1444.35132
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
3
2019
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
2
2014
Second-order characteristic schemes in time and age for a nonlinear age-structured population model. Zbl 1214.92058
Liang, Dong; Sun, Guanying; Wang, Wenqia
2
2011
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
2
2006
A new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
2
2011
Wavelet Galerkin methods for aerosol dynamic equations in atmospheric environment. Zbl 1364.76089
Liang, Dong; Guo, Qiang; Gong, Sunling
2
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
2
2017
A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions. Zbl 1499.65386
Deng, Dingwen; Xie, Jianqiang; Jiang, Yaolin; Liang, Dong
2
2019
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2
2020
A numerical method for the free boundary problems of the groundwater flow. Zbl 0849.76048
Liang, Dong
1
1996
A generalization of column generation to accelerate convergence. Zbl 1184.90102
Liang, Dong; Wilhelm, Wilbert E.
1
2010
Finite element approximations to one-phase nonlinear free boundary problem in groundwater contamination flow. Zbl 1109.76036
Liang, Dong; Wang, Hong; Sharpley, Robert C.
1
2006
Energy-conserved splitting multidomain Legendre-tau spectral method for two dimensional Maxwell’s equations. Zbl 07458303
Niu, Cuixia; Ma, Heping; Liang, Dong
1
2022
Analysis of the energy-conserved S-FDTD scheme for variable coefficient Maxwell’s equations in disk domains. Zbl 1342.35370
Li, Wanshan; Liang, Dong
1
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
1
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
1
2015
Structured influenza model for meta-population. Zbl 1342.92238
Gojović, Marija Živković; Liang, Dong; Wu, Jianhong
1
2009
Mixed finite element method for Sobolev equations and its alternating-direction iterative scheme. Zbl 0956.65089
Zhang, Huaiyu; Liang, Dong
1
1999
The mass-preserving solution-flux scheme for multi-layer interface parabolic equations. Zbl 1459.65146
Kandel, Hom N.; Liang, Dong
1
2021
High-order finite volume methods for aerosol dynamic equations. Zbl 1488.65333
Cui, Ming; Su, Yanxin; Liang, Dong
1
2016
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
1
2019
Even-odd cycled high-order splitting finite difference time domain method for Maxwell’s equations. Zbl 1471.65174
Sarai, Maninder; Liang, Dong
1
2021
The conservative splitting high-order compact finite difference scheme for two-dimensional Schrödinger equations. Zbl 1404.65102
Wang, Bo; Liang, Dong; Sun, Tongjun
1
2018
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
1
2012
Dual-ascent and primal heuristics for production-assembly-distribution system design. Zbl 1407.90359
Liang, Dong; Wilhelm, Wilbert E.
1
2013
Cooperative advertising in social networks with positive externalities. Zbl 1528.90129
Liang, Dong; Xie, Jinxing; Zhu, Wanshan; Zhao, Xiaobo
1
2022
A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption. Zbl 1522.65153
Shi, Yilei; Xie, Shusen; Liang, Dong
3
2022
Energy-conserved splitting multidomain Legendre-tau spectral method for two dimensional Maxwell’s equations. Zbl 07458303
Niu, Cuixia; Ma, Heping; Liang, Dong
1
2022
Cooperative advertising in social networks with positive externalities. Zbl 1528.90129
Liang, Dong; Xie, Jinxing; Zhu, Wanshan; Zhao, Xiaobo
1
2022
High order compact block-centered finite difference schemes for elliptic and parabolic problems. Zbl 1476.65192
Shi, Yilei; Xie, Shusen; Liang, Dong; Fu, Kai
7
2021
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions. Zbl 1501.65037
Hou, Baohui; Liang, Dong
4
2021
Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. Zbl 1459.65144
Hou, Baohui; Liang, Dong
4
2021
Energy-preserving local mesh-refined splitting FDTD schemes for two dimensional Maxwell’s equations. Zbl 07508494
Xie, Jianqiang; Liang, Dong; Zhang, Zhiyue
4
2021
The mass-preserving solution-flux scheme for multi-layer interface parabolic equations. Zbl 1459.65146
Kandel, Hom N.; Liang, Dong
1
2021
Even-odd cycled high-order splitting finite difference time domain method for Maxwell’s equations. Zbl 1471.65174
Sarai, Maninder; Liang, Dong
1
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
16
2020
The conservative splitting domain decomposition method for multicomponent contamination flows in porous media. Zbl 1453.65305
Liang, Dong; Zhou, Zhongguo
14
2020
Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients. Zbl 07508363
Hou, Baohui; Liang, Dong
7
2020
Immersed finite element method and its analysis for parabolic optimal control problems with interfaces. Zbl 1464.65134
Zhang, Zhiyue; Liang, Dong; Wang, Quanxiang
6
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
5
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.
4
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
4
2020
Construction of the local structure-preserving algorithms for the general multi-symplectic Hamiltonian system. Zbl 1473.65353
Wang, Jialing; Wang, Yushun; Liang, Dong
2
2020
The conservative and fourth-order compact finite difference schemes for regularized long wave equation. Zbl 1419.65033
Wang, Bo; Sun, Tongjun; Liang, Dong
14
2019
Optimal weighted upwind finite volume method for convection-diffusion equations in 2D. Zbl 1418.65159
Gao, Yulong; Liang, Dong; Li, Yonghai
11
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
9
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
8
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
6
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
6
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
4
2019
The energy conservative splitting FDTD scheme and its energy identities for metamaterial electromagnetic Lorentz system. Zbl 07684938
Li, Wanshan; Liang, Dong
3
2019
A conservative splitting difference scheme for the fractional-in-space Boussinesq equation. Zbl 1444.35132
Xie, Jianqiang; Zhang, Zhiyue; Liang, Dong
3
2019
A second-order box solver for nonlinear delayed convection-diffusion equations with Neumann boundary conditions. Zbl 1499.65386
Deng, Dingwen; Xie, Jianqiang; Jiang, Yaolin; Liang, Dong
2
2019
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
1
2019
The time fourth-order compact ADI methods for solving two-dimensional nonlinear wave equations. Zbl 1427.65157
Deng, Dingwen; Liang, Dong
24
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
12
2018
High-order energy-preserving schemes for the improved Boussinesq equation. Zbl 1407.76109
Yan, Jinliang; Zhang, Zhiyue; Zhao, Tengjin; Liang, Dong
10
2018
The finite difference scheme for nonlinear Schrödinger equations on unbounded domain by artificial boundary conditions. Zbl 1412.65094
Wang, Bo; Liang, Dong
9
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
5
2018
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. Zbl 1390.65082
Wang, Jialing; Wang, Yushun; Liang, Dong
3
2018
The conservative splitting high-order compact finite difference scheme for two-dimensional Schrödinger equations. Zbl 1404.65102
Wang, Bo; Liang, Dong; Sun, Tongjun
1
2018
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations. Zbl 1357.65141
Zhou, Zhongguo; Liang, Dong
19
2017
The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions. Zbl 1379.65061
Fu, Kai; Liang, Dong
14
2017
A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. Zbl 1426.76319
Xu, Wenwen; Liang, Dong; Rui, Hongxing
9
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
6
2017
A time second-order mass-conserved implicit-explicit domain decomposition scheme for solving the diffusion equations. Zbl 1488.65322
Zhou, Zhongguo; Liang, Dong
4
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
3
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
2
2017
The conservative characteristic FD methods for atmospheric aerosol transport problems. Zbl 1349.76461
Fu, Kai; Liang, Dong
18
2016
The mass-preserving S-DDM scheme for two-dimensional parabolic equations. Zbl 1388.65073
Zhou, Zhongguo; Liang, Dong
13
2016
Symmetric energy-conserved S-FDTD scheme for two-dimensional Maxwell’s equations in negative index metamaterials. Zbl 1372.78020
Li, Wanshan; Liang, Dong
5
2016
ADI-FDTD method for two-dimensional transient electromagnetic problems. Zbl 1373.78437
Li, Wanshan; Zhang, Yile; Wong, Yau Shu; Liang, Dong
3
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
1
2016
High-order finite volume methods for aerosol dynamic equations. Zbl 1488.65333
Cui, Ming; Su, Yanxin; Liang, Dong
1
2016
The coupled within- and between-host dynamics in the evolution of HIV/AIDS in China. Zbl 1448.39031
Lou, Jie; Zhou, Hongna; Liang, Dong; Jin, Zhen; Song, Baojun
3
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
1
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
1
2015
The efficient S-DDM scheme and its analysis for solving parabolic equations. Zbl 1349.76499
Liang, Dong; Du, Chuanbin
16
2014
Energy-conserved splitting spectral methods for two dimensional Maxwell’s equations. Zbl 1293.78014
Zeng, Fanhai; Ma, Heping; Liang, Dong
6
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
2
2014
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
22
2013
The spatial fourth-order energy-conserved S-FDTD scheme for Maxwell’s equations. Zbl 1349.78094
Liang, Dong; Yuan, Qiang
12
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
4
2013
Dual-ascent and primal heuristics for production-assembly-distribution system design. Zbl 1407.90359
Liang, Dong; Wilhelm, Wilbert E.
1
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
7
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
1
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
2
2011
A new multiple sub-domain RS-HDMR method and its application to tropospheric alkane photochemistry model. Zbl 1252.65110
Yuan, Qiang; Liang, Dong
2
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
41
2010
An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media. Zbl 1305.76074
Du, Chuanbin; Liang, Dong
30
2010
A generalization of column generation to accelerate convergence. Zbl 1184.90102
Liang, Dong; Wilhelm, Wilbert E.
1
2010
An efficient second-order characteristic finite element method for nonlinear aerosol dynamic equations. Zbl 1176.76070
Liang, Dong; Wang, Wenqia; Cheng, Yu
10
2009
Symmetric energy-conserved splitting FDTD scheme for the Maxwell’s equations. Zbl 1364.78035
Chen, Wenbin; Li, Xingjie; Liang, Dong
8
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
3
2009
Multiscale analysis for convection-dominated transport equations. Zbl 1163.76048
Hou, Thomas Y.; Liang, Dong
3
2009
Wavelet Galerkin methods for aerosol dynamic equations in atmospheric environment. Zbl 1364.76089
Liang, Dong; Guo, Qiang; Gong, Sunling
2
2009
Structured influenza model for meta-population. Zbl 1342.92238
Gojović, Marija Živković; Liang, Dong; Wu, Jianhong
1
2009
Energy-conserved splitting FDTD methods for Maxwell’s equations. Zbl 1185.78020
Chen, Wenbin; Li, Xingjie; Liang, Dong
57
2008
Asymptotic patterns of a structured population diffusing in a two-dimensional strip. Zbl 1152.35409
Weng, Peixuan; Liang, Dong; Wu, Jianhong
7
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
6
2008
The splitting finite-difference time-domain methods for Maxwell’s equations in two dimensions. Zbl 1122.78021
Gao, Liping; Zhang, Bo; Liang, Dong
26
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
9
2007
An optimal weighted upwinding covolume method on non-standard grids for convection-diffusion problems in 2D. Zbl 1110.76321
Liang, Dong; Zhao, Weidong
14
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
2
2006
Finite element approximations to one-phase nonlinear free boundary problem in groundwater contamination flow. Zbl 1109.76036
Liang, Dong; Wang, Hong; Sharpley, Robert C.
1
2006
Modelling population growth with delayed nonlocal reaction on 2 dimensions. Zbl 1061.92048
Liang, Dong; Wu, Jianhong; Zhang, Fan
11
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
10
2004
Error estimates for mixed finite element approximations of the viscoelasticity wave equation. Zbl 1071.65129
Gao, Liping; Liang, Dong; Zhang, Bo
8
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
5
2004
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. Zbl 1017.92024
Liang, D.; Wu, J.
47
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
32
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
7
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.
10
2002
Predicting the consequences of seawater intrusion and protection projects. Zbl 0988.76518
Yuan, Yirang; Liang, Dong; Rui, Hongxing
5
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
63
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
13
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
4
2000
Mixed finite element method for Sobolev equations and its alternating-direction iterative scheme. Zbl 0956.65089
Zhang, Huaiyu; Liang, Dong
1
1999
Characteristics-finite element methods for seawater intrusion. Numerical simulation and theoretical analysis. Zbl 0968.76567
Yuan, Yirang; Liang, Dong; Rui, Hongxing
6
1998
A high-order upwind method for the convection-diffusion problem. Zbl 0897.76064
Liang, Dong; Zhao, Weidong
11
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
4
1996
A numerical method for the free boundary problems of the groundwater flow. Zbl 0849.76048
Liang, Dong
1
1996
A kind of upwind schemes for convection diffusion equations. Zbl 0850.65169
Liang, Dong
11
1991
A characteristics mixed finite element method of numerical simulation for 2-phase immiscible flow. Zbl 0759.76043
Liang, Dong
3
1991
Upwind generalized difference schemes for convection-diffusion problems. Zbl 0727.65082
Liang, Dong
5
1990
all top 5

Cited by 772 Authors

49 Liang, Dong
20 Li, Jichun
19 Zhou, Zhongguo
16 Zhang, Zhiyue
15 Deng, Dingwen
15 Huang, Yunqing
13 Xie, Jianqiang
12 Wang, Hong
11 Rui, Hongxing
10 Wang, Yushun
9 Fu, Kai
9 Ge, Yongbin
9 Sun, Weiwei
8 Li, Wan-Tong
8 Yuan, Yirang
7 Cai, Jiaxiang
7 Chen, Yanping
7 Guo, Hui
7 Mei, Ming
7 Pan, Hao
7 Wang, Yan
7 Wang, Zhi Cheng
7 Yang, Yang
7 Yuan, Yueding
6 Hong, Jialin
6 Kong, Linghua
6 Li, Wanshan
6 Ma, Heping
6 Ruan, Shigui
6 Wang, Yang
6 Yi, Taishan
6 Zhang, Jiansong
6 Zou, Xingfu
5 Bani-Yaghoub, Majid
5 Cai, Wenjun
5 Chen, Meng
5 Cui, Ming
5 Dai, Weizhong
5 Droniou, Jérôme
5 Guo, Zhiming
5 Li, Lin
5 Lin, Yanping
5 Wang, Wenqia
5 Xie, Shusen
5 Yang, Wei
5 Zhao, Weidong
4 Arbogast, Todd
4 Dehghan Takht Fooladi, Mehdi
4 Fu, Hongfei
4 Gao, Fuzheng
4 Gao, Liping
4 Hang, Tongtong
4 He, Mingyan
4 Hu, Wenjie
4 Jiang, Yunzhi
4 Li, XinDong
4 Niu, Cuixia
4 Song, Yongli
4 Sun, Pengtao
4 Trofimchuk, Sergei I.
4 Wu, Jianhong
4 Xue, Guanyu
4 Zlotnik, Alexander A.
3 Bai, Xixian
3 Bokil, Vrushali A.
3 Cheng, Hanz Martin C.
3 Du, Chuanbin
3 Du, Ning
3 Ewing, Richard Edward
3 Feng, Hui
3 Gao, Yulong
3 Geng, Dongxu
3 Gong, Yuezheng
3 Guo, Feng
3 Hou, Baohui
3 Jahnke, Tobias
3 Ji, Lihai
3 Jiwari, Ram
3 Li, Hong
3 Li, Xiaoli
3 Li, Yonghai
3 Lin, Guo
3 Liu, Wei
3 Liu, Yang
3 Ou, Chunhua
3 Ren, Weiqing
3 Schnaubelt, Roland
3 Shi, Dongyang
3 Sun, Shuyu
3 Sun, Tongjun
3 Wang, Quanxiang
3 Wang, Xiaofeng
3 Wang, Yifu
3 Wu, Chengda
3 Wu, Mengling
3 Wu, Shuhao
3 Xu, Wenwen
3 Yang, Chaoxia
3 Yang, Danping
3 Yi, Huaming
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Cited in 110 Serials

42 Journal of Computational Physics
32 Computers & Mathematics with Applications
30 Journal of Computational and Applied Mathematics
21 Numerical Methods for Partial Differential Equations
21 Journal of Scientific Computing
20 Journal of Differential Equations
20 Applied Numerical Mathematics
18 Computational and Applied Mathematics
17 Applied Mathematics and Computation
13 Advances in Applied Mathematics and Mechanics
11 Computer Methods in Applied Mechanics and Engineering
11 Journal of Mathematical Analysis and Applications
11 Numerical Algorithms
11 International Journal of Computer Mathematics
9 Communications in Nonlinear Science and Numerical Simulation
9 Advances in Difference Equations
8 Mathematical Methods in the Applied Sciences
8 Numerische Mathematik
8 Applied Mathematical Modelling
8 International Journal of Numerical Analysis and Modeling
7 Mathematics and Computers in Simulation
6 Applied Mathematics Letters
6 SIAM Journal on Scientific Computing
6 Advances in Computational Mathematics
6 Communications in Computational Physics
5 Computer Physics Communications
5 SIAM Journal on Numerical Analysis
5 Engineering Analysis with Boundary Elements
4 Computers and Fluids
4 Journal of Dynamics and Differential Equations
4 Nonlinear Analysis. Real World Applications
4 Journal of Applied Mathematics and Computing
4 Journal of Applied Analysis and Computation
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Mathematicae Applicatae Sinica. English Series
3 Abstract and Applied Analysis
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications on Pure and Applied Analysis
3 International Journal of Computational Methods
3 Chinese Journal of Physics (Taipei)
3 Advances in Mathematical Physics
3 Science China. Mathematics
3 East Asian Journal on Applied Mathematics
2 Mathematics of Computation
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 Applications of Mathematics
2 European Journal of Operational Research
2 Journal of Nonlinear Science
2 Discrete and Continuous Dynamical Systems
2 Mathematical Problems in Engineering
2 Nonlinear Dynamics
2 Computational Geosciences
2 Journal of Dynamical and Control Systems
2 Journal of Systems Science and Complexity
2 Journal of Applied Mathematics
2 Multiscale Modeling & Simulation
2 Boundary Value Problems
2 Networks and Heterogeneous Media
2 Discrete and Continuous Dynamical Systems. Series S
2 AIMS Mathematics
2 Results in Applied Mathematics
1 Applicable Analysis
1 Journal of Mathematical Physics
1 Physica A
1 Wave Motion
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Calcolo
1 Kybernetes
1 Transactions of the American Mathematical Society
1 Circuits, Systems, and Signal Processing
1 Physica D
1 European Journal of Applied Mathematics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Cybernetics and Systems Analysis
1 Fractals
1 Complexity
1 Journal of Difference Equations and Applications
1 Computing and Visualization in Science
1 Taiwanese Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Discrete Dynamics in Nature and Society
1 Qualitative Theory of Dynamical Systems
1 Differential Equations
1 Mathematical Modelling and Analysis
1 Journal of Evolution Equations
1 Foundations of Computational Mathematics
1 Computational Methods in Applied Mathematics
1 Stochastics and Dynamics
1 Mediterranean Journal of Mathematics
1 Mathematical Biosciences and Engineering
1 Frontiers of Mathematics in China
1 Journal of Nonlinear Science and Applications
1 Nonlinear Phenomena in Complex Systems (Minsk)
1 Symmetry
1 Journal of the Korean Society for Industrial and Applied Mathematics
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