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Author ID: luo.zhendong Recent zbMATH articles by "Luo, Zhendong"
Published as: Luo, Zhendong; Luo, Zhen Dong; Luo, Zhen-dong; Luo, Zhen-Dong; Luo, ZhenDong
Documents Indexed: 177 Publications since 1990, including 1 Book
Co-Authors: 68 Co-Authors with 150 Joint Publications
2,131 Co-Co-Authors
all top 5

Serials

27 Mathematica Numerica Sinica
14 Journal of Mathematical Analysis and Applications
12 Applied Mathematics and Mechanics. (English Edition)
10 Journal of Inequalities and Applications
8 Boundary Value Problems
7 Applied Numerical Mathematics
7 Acta Mathematica Scientia. Series A. (Chinese Edition)
7 Acta Mathematica Scientia. Series B. (English Edition)
6 Advances in Difference Equations
5 Applied Mathematics and Computation
5 Numerical Methods for Partial Differential Equations
4 International Journal for Numerical Methods in Fluids
4 Journal of Inner Mongolia University
3 Chinese Journal of Numerical Mathematics and Applications
3 Scientia Sinica. Mathematica
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 SIAM Journal on Numerical Analysis
2 Acta Mathematicae Applicatae Sinica
2 Acta Mathematicae Applicatae Sinica. English Series
2 Science in China. Series A
2 Applied Mathematical Modelling
2 Applied Mathematics
2 Applied Mathematics. Series A (Chinese Edition)
2 Mathematical Modelling and Analysis
2 Advances in Applied Mathematics and Mechanics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 Computers and Fluids
1 Journal of Computational Physics
1 Mathematical Methods in the Applied Sciences
1 International Journal for Numerical Methods in Engineering
1 Numerical Mathematics
1 Advances in Mathematics (Beijing)
1 Journal of Computational Mathematics
1 Journal of China University of Science and Technology
1 Applied Mathematics Letters
1 Mathematica Applicata
1 Journal of Scientific Computing
1 Journal of Integral Equations and Applications
1 Japan Journal of Industrial and Applied Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Computational and Applied Mathematics
1 Journal on Numerical Methods and Computer Applications
1 Science in China. Series E
1 International Journal of Computational Fluid Dynamics
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Chinese Quarterly Journal of Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 CMES. Computer Modeling in Engineering & Sciences
1 Discrete and Continuous Dynamical Systems. Series B
1 Mathematics in Science and Engineering
1 Frontiers of Mathematics in China
1 Journal of Nonlinear Science and Applications
1 International Journal for Numerical Methods in Biomedical Engineering

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 1,334 times in 452 Documents Cited by Year
An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation. Zbl 1458.65118
Zhou, Yanjie; Luo, Zhendong
58
2019
A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition. Zbl 1370.86002
Cao, Yanhua; Zhu, Jiang; Navon, I. M.; Luo, Zhendong
58
2007
Mixed finite element formulation and error estimates based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. Zbl 1391.76351
Luo, Zhendong; Chen, Jing; Navon, I. M.; Yang, Xiaozhong
49
2009
An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model. Zbl 1205.86007
Luo, Zhendong; Chen, Jing; Zhu, Jiang; Wang, Ruiwen; Navon, I. M.
44
2007
Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations. Zbl 1193.65159
Sun, Ping; Luo, Zhendong; Zhou, Yanjie
42
2010
Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model. Zbl 1173.76348
Luo, Zhendong; Zhu, Jiang; Wang, Ruiwen; Navon, I. M.
39
2007
A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems. Zbl 1227.65076
Luo, Zhendong; Xie, Zhenghui; Shang, Yueqiang; Chen, Jing
38
2011
Reduced-order modeling of the upper tropical Pacific ocean model using proper orthogonal decomposition. Zbl 1161.86002
Cao, Yanhua; Zhu, Jiang; Luo, Zhendong; Navon, I. M.
37
2006
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032
Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang
36
2009
A reduced finite element formulation based on POD method for two-dimensional solute transport problems. Zbl 1243.65123
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Xie, Zhenghui
35
2012
A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation. Zbl 1179.65111
Luo, Zhendong; Yang, Xiaozhong; Zhou, Yanjie
32
2009
Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. Zbl 1134.35387
Luo, Zhendong; Wang, Ruiwen; Zhu, Jiang
30
2007
A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations. Zbl 1242.76129
Luo, Zhendong; Du, Juan; Xie, Zhenghui; Guo, Yan
24
2011
A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations. Zbl 1426.76478
Luo, Zhendong; Li, Hong; Sun, Ping; Gao, Junqiang
23
2013
A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations. Zbl 1407.65218
Luo, Zhendong; Teng, Fei; Xia, Hong
22
2019
A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation. Zbl 1440.65093
Luo, Zhendong; Wang, Hui
22
2020
A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem. Zbl 1368.74071
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Huang, Xiaoming
21
2012
A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation. Zbl 1169.65096
Luo, Zhendong; Zhou, Yanjie; Yang, Xiaozhong
21
2009
Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation. Zbl 1327.65210
An, Jing; Luo, Zhendong; Li, Hong; Sun, Ping
18
2015
Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation. Zbl 1237.65126
Luo, Zhen-dong; Ou, Qiu-lan; Xie, Zheng-hui
18
2011
A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations. Zbl 1245.76056
Shang, Yueqiang; He, Yinnian; Luo, Zhendong
18
2011
Numerical simulation based on POD for two-dimensional solute transport problems. Zbl 1217.74082
Li, Huanrong; Luo, Zhendong; Chen, Jing
18
2011
An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184
Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M.
17
2011
A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations. Zbl 1410.65318
Luo, Zhendong; Jin, Shiju; Chen, Jing
16
2016
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation. Zbl 1427.65174
Luo, Zhendong; Teng, Fei
16
2018
A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Zbl 1457.65146
Luo, Zhendong; Jin, Shiju
16
2020
Mixed finite element analysis and numerical solitary solution for the RLW equation. Zbl 0927.65123
Luo, Zhendong; Liu, Ruxun
15
1998
Finite element formulation based on proper orthogonal decomposition for parabolic equations. Zbl 1183.65122
Luo, ZhenDong; Chen, Jing; Sun, Ping; Yang, XiaoZhong
15
2009
A new space-time continuous Galerkin method with mesh modification for Sobolev equations. Zbl 1382.65335
Zhao, Zhihui; Li, Hong; Luo, Zhendong
15
2016
A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation. Zbl 1434.65192
Teng, Fei; Luo, Zhendong
15
2020
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. Zbl 1446.65073
Luo, Zhendong; Ren, Hulin
15
2020
A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem. Zbl 1304.65198
Luo, Zhendong; Li, Hong; Sun, Ping
14
2013
A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium. Zbl 1382.65252
Luo, Zhendong; Gao, Junqiang
13
2016
A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations. Zbl 1273.65117
Luo, Zhendong; Li, Hong; Sun, Ping
13
2013
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions. Zbl 1432.65141
Luo, Zhendong; Jiang, Wenrui
13
2020
An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation. Zbl 1353.74078
Luo, Zhendong; Teng, Fei
12
2017
Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration. Zbl 1318.35083
Luo, Zhendong; Gao, Junqiang; Xie, Zhenghui
11
2015
A stabilized fully discrete finite volume element formulation for the non-stationary Stokes equation. Zbl 1240.76002
An, Jing; Sun, Ping; Luo, Zhendong; Huang, Xiaoming
11
2011
A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations. Zbl 1343.76031
Luo, Zhendong
11
2014
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation. Zbl 1450.65126
Luo, Zhendong; Jiang, Wenrui
11
2020
A space-time continuous finite element method for 2D viscoelastic wave equation. Zbl 1332.74047
Li, Hong; Zhao, Zhihui; Luo, Zhendong
10
2016
A fully discrete finite volume element formulation for the Sobolev equation and numerical simulations. Zbl 1265.65221
Li, Hong; Luo, Zhendong; An, Jing; Sun, Ping
10
2012
A POD-based reduced-order stabilized Crank-Nicolson MFE formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1488.65444
Luo, Zhendong
10
2015
Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations. Zbl 1311.76083
Luo, Zhendong
9
2015
A reduced MFE formulation based on POD for the non-stationary conduction-convection problems. Zbl 1249.65199
Luo, Zhendong; Xie, Zhenghui; Chen, Jing
9
2011
A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations. Zbl 1313.65307
Liu, Qun; Teng, Fei; Luo, Zhendong
9
2014
A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations. Zbl 1484.65193
Luo, Zhendong; Teng, Fei; Chen, Jing
9
2018
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. Zbl 1372.65277
Zhao, Zhihui; Li, Hong; Luo, Zhendong
8
2017
A reduced-order extrapolation spectral-finite difference scheme based on the POD method for 2D second-order hyperbolic equations. Zbl 1488.65265
Luo, Zhendong; Jin, Shiju
8
2017
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems. Zbl 1490.65171
Luo, Zhendong; Li, Hong; Sun, Ping; An, Jing; Navon, Ionel Michael
8
2013
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. Zbl 1458.35381
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong
8
2021
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1332.65127
Luo, Zhen Dong
8
2016
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. Zbl 1380.65190
Xia, Hong; Luo, Zhendong
7
2017
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations. Zbl 1422.65211
Luo, Zhendong; Teng, Fei
7
2017
A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations. Zbl 1411.74060
Luo, Zhendong
7
2015
A finite volume element formulation and error analysis for the non-stationary conduction-convection problem. Zbl 1248.35163
Li, Hong; Luo, Zhendong; Sun, Ping; An, Jing
7
2012
An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation. Zbl 1426.76466
Di, Zhenhua; Luo, Zhendong; Xie, Zhenghui; Wang, Aiwen; Navon, I. M.
7
2012
A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem. Zbl 1364.65230
Xia, Hong; Luo, Zhendong
7
2017
A parallel two-level finite element method for the Navier-Stokes equations. Zbl 1410.76196
Shang, Yue-qiang; Luo, Zhen-dong
7
2010
Mixed finite element analysis and numerical simulation for Burgers equation. Zbl 0933.65117
Luo, Zhendong; Liu, Ruxun
6
1999
A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1363.76042
Luo, Zhendong
6
2016
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
6
2019
A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay. Zbl 1449.65173
Cao, Yanhua; Luo, Zhendong
6
2018
A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations. Zbl 1338.76077
Luo, Zhendong
6
2014
A reduced second-order time accurate finite element formulation based on POD for parabolic equations. Zbl 1488.65445
Luo, Zhendong; Chen, Jing; Xie, Zhenghui; An, Jing; Sun, Ping
6
2011
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations. Zbl 1498.65181
Zhou, Yanjie; Luo, Zhendong
6
2018
A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue. Zbl 1347.65180
An, Jing; Bi, Hai; Luo, Zhendong
5
2016
A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations. Zbl 1373.65074
Zhao, Zhihui; Li, Hong; Luo, Zhendong
5
2017
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
5
2019
A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain. Zbl 1438.65309
Teng, Fei; Luo, Zhen Dong; Yang, Jing
5
2019
An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation. Zbl 1422.65191
Xia, Hong; Luo, Zhendong
5
2017
A proper orthogonal decomposition based reduced-order finite difference extrapolation iterative format for 2D hyperbolic equations. Zbl 1324.65115
Teng, Fei; Luo, Zhendong; Li, Xiaobo
5
2014
A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation. Zbl 1328.65211
Luo, Zhendong; Li, Hong; Chen, Jing; Teng, Fei
5
2015
A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations. Zbl 1313.65267
Luo, Zhendong; Li, Hong
5
2014
Difference scheme and numerical simulation based on mixed finite element method for natural convection problem. Zbl 1079.76601
Luo, Zhendong; Zhu, Jiang; Xie, Zhenghui; Zhang, Guifang
5
2003
A POD-based reduced-order FD extrapolating algorithm for traffic flow. Zbl 1343.76032
Luo, Zhendong; Xie, Di; Teng, Fei
5
2014
A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations. Zbl 1513.65409
Jin, Shiju; Luo, Zhendong
5
2019
A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations. Zbl 1507.65142
Luo, Zhendong; Teng, Fei; Di, Zhenhua
5
2014
A least-squares Galerkin/Petrov mixed finite element method for stationary conduction-convection problems. Zbl 1495.65218
Luo, Zhen Dong; Lu, Xiu Min
5
2003
Generalized difference methods and numerical simulation for unsaturated soil water flow problems. Zbl 1495.76076
Li, Huan Rong; Luo, Zhen Dong; Xie, Zheng Hui; Zhu, Jiang
5
2006
A reduced finite difference scheme based on proper orthogonal decomposition for the nonstationary conduction-convection problems. Zbl 1212.65327
Sun, Ping; Luo, Zhendong; Zhou, Yanjie
5
2009
The Crank-Nicolson finite spectral element method and numerical simulations for 2D non-stationary Navier-Stokes equations. Zbl 1452.65278
Luo, Zhendong; Jiang, Wenrui
5
2020
A natural boundary element method for the Sobolev equation in the 2D unbounded domain. Zbl 1422.65431
Teng, Fei; Luo, Zhendong; Yang, Jing
4
2017
A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations. Zbl 1307.65115
Luo, Zhendong
4
2015
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
4
2014
Mixed finite element methods for the shallow water equations including current and silt sedimentation. I: The continuous-time case. Zbl 1141.76424
Luo, Zhendong; Zhu, Jiang; Zeng, Qingcun; Xie, Zhenghui
4
2004
A reduced-order extrapolating space-time continuous finite element method for the 2D Sobolev equation. Zbl 07777656
Yang, Jing; Luo, Zhendong
4
2020
The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. Zbl 07518115
Luo, Zhendong; Yang, Jing
4
2022
The mixed finite element method for the non stationary conduction-convection problems. Zbl 0919.76050
Luo, Zhendong
3
1998
The third order estimate of mixed finite element for the Navier-Stokes problem. Zbl 0967.76558
Luo, Zhendong
3
1995
A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation. Zbl 1446.65086
Zhou, Yanjie; Luo, Zhendong
3
2018
Mixed finite element methods for the shallow water equations including current and silt sedimentation. II: The discrete-time case along characteristics. Zbl 1145.76404
Luo, Zhendong; Zhu, Jiang; Zeng, Qingcun; Xie, Zhenghui
3
2004
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
3
2011
A collocation spectral method for two-dimensional Sobolev equations. Zbl 1499.65560
Jin, Shiju; Luo, Zhendong
3
2018
Bubble stabilization and a posteriori error estimate of MFE method for plane elasticity problems. Zbl 1115.74051
Luo, Zhendong
3
2006
A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations. Zbl 1143.76481
Luo, Zhendong; Zhu, Jiang
3
2002
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132
Luo, Zhendong
3
2020
A reduced-order extrapolation algorithm of fully second-order finite difference scheme for non-stationary Burgers equation. Zbl 1488.65288
Sun, Ping; Li, Hong; Teng, Fei; Luo, Zhendong
3
2012
Nonlinear Galerkin mixed element methods for the non-stationary conduction-convection problems. I: The continuous-time case. Zbl 0928.76059
Luo, Zhendong; Wang, Lieheng
2
1998
Nonlinear Galerkin mixed element methods for the non stationary conduction-convection problems. II: The backward one-step Euler fully discrete format. Zbl 0959.76044
Luo, Zhendong; Wang, Lieheng
2
1998
The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. Zbl 07518115
Luo, Zhendong; Yang, Jing
4
2022
The reduced-dimension technique for the unknown solution coefficient vectors in the Crank-Nicolson finite element method for the Sobolev equation. Zbl 1490.65216
Zeng, Yihui; Luo, Zhendong
2
2022
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. Zbl 1484.65178
Deng, Qiuxiang; Luo, Zhendong
1
2022
A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation. Zbl 1458.35381
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong
8
2021
A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation. Zbl 1452.65250
Teng, Fei; Luo, Zhendong
2
2021
A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. Zbl 1488.65390
Teng, Fei; Luo, Zhendong
1
2021
A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation. Zbl 1440.65093
Luo, Zhendong; Wang, Hui
22
2020
A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Zbl 1457.65146
Luo, Zhendong; Jin, Shiju
16
2020
A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation. Zbl 1434.65192
Teng, Fei; Luo, Zhendong
15
2020
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. Zbl 1446.65073
Luo, Zhendong; Ren, Hulin
15
2020
A reduced-order extrapolated Crank-Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions. Zbl 1432.65141
Luo, Zhendong; Jiang, Wenrui
13
2020
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation. Zbl 1450.65126
Luo, Zhendong; Jiang, Wenrui
11
2020
The Crank-Nicolson finite spectral element method and numerical simulations for 2D non-stationary Navier-Stokes equations. Zbl 1452.65278
Luo, Zhendong; Jiang, Wenrui
5
2020
A reduced-order extrapolating space-time continuous finite element method for the 2D Sobolev equation. Zbl 07777656
Yang, Jing; Luo, Zhendong
4
2020
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132
Luo, Zhendong
3
2020
A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation. Zbl 1487.65190
Wang, Hui; He, Qingfang; Luo, Zhendong
1
2020
An optimized Crank-Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation. Zbl 1458.65118
Zhou, Yanjie; Luo, Zhendong
58
2019
A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations. Zbl 1407.65218
Luo, Zhendong; Teng, Fei; Xia, Hong
22
2019
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
6
2019
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
5
2019
A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain. Zbl 1438.65309
Teng, Fei; Luo, Zhen Dong; Yang, Jing
5
2019
A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations. Zbl 1513.65409
Jin, Shiju; Luo, Zhendong
5
2019
A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time. Zbl 1456.76081
Tian, Jing; Cai, Mingchao; Luo, Zhendong; You, Yuncheng; Chen, Goong
2
2019
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation. Zbl 1427.65174
Luo, Zhendong; Teng, Fei
16
2018
A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations. Zbl 1484.65193
Luo, Zhendong; Teng, Fei; Chen, Jing
9
2018
A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay. Zbl 1449.65173
Cao, Yanhua; Luo, Zhendong
6
2018
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations. Zbl 1498.65181
Zhou, Yanjie; Luo, Zhendong
6
2018
A Crank-Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation. Zbl 1446.65086
Zhou, Yanjie; Luo, Zhendong
3
2018
A collocation spectral method for two-dimensional Sobolev equations. Zbl 1499.65560
Jin, Shiju; Luo, Zhendong
3
2018
A Crank-Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity-stream functions. Zbl 1498.65209
Zhou, Yanjie; Luo, Zhendong; Teng, Fei
2
2018
An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation. Zbl 1353.74078
Luo, Zhendong; Teng, Fei
12
2017
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. Zbl 1372.65277
Zhao, Zhihui; Li, Hong; Luo, Zhendong
8
2017
A reduced-order extrapolation spectral-finite difference scheme based on the POD method for 2D second-order hyperbolic equations. Zbl 1488.65265
Luo, Zhendong; Jin, Shiju
8
2017
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. Zbl 1380.65190
Xia, Hong; Luo, Zhendong
7
2017
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations. Zbl 1422.65211
Luo, Zhendong; Teng, Fei
7
2017
A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem. Zbl 1364.65230
Xia, Hong; Luo, Zhendong
7
2017
A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations. Zbl 1373.65074
Zhao, Zhihui; Li, Hong; Luo, Zhendong
5
2017
An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation. Zbl 1422.65191
Xia, Hong; Luo, Zhendong
5
2017
A natural boundary element method for the Sobolev equation in the 2D unbounded domain. Zbl 1422.65431
Teng, Fei; Luo, Zhendong; Yang, Jing
4
2017
An optimized finite element extrapolating method for 2D viscoelastic wave equation. Zbl 1372.65313
Xia, Hong; Luo, Zhendong
2
2017
Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system. Zbl 1360.76148
Luo, Zhendong; Gao, Junqiang
2
2017
A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations. Zbl 1368.65214
Zhou, Yan-jie; Teng, Fei; Luo, Zhen-dong
1
2017
A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations. Zbl 1410.65318
Luo, Zhendong; Jin, Shiju; Chen, Jing
16
2016
A new space-time continuous Galerkin method with mesh modification for Sobolev equations. Zbl 1382.65335
Zhao, Zhihui; Li, Hong; Luo, Zhendong
15
2016
A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium. Zbl 1382.65252
Luo, Zhendong; Gao, Junqiang
13
2016
A space-time continuous finite element method for 2D viscoelastic wave equation. Zbl 1332.74047
Li, Hong; Zhao, Zhihui; Luo, Zhendong
10
2016
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1332.65127
Luo, Zhen Dong
8
2016
A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1363.76042
Luo, Zhendong
6
2016
A highly efficient spectral-Galerkin method based on tensor product for fourth-order Steklov equation with boundary eigenvalue. Zbl 1347.65180
An, Jing; Bi, Hai; Luo, Zhendong
5
2016
A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations. Zbl 1344.65088
Luo, Zhendong
2
2016
A high accuracy spectral method based on \(\min\)/\(\max\) principle for biharmonic eigenvalue problems on a spherical domain. Zbl 1336.65185
An, Jing; Luo, Zhendong
2
2016
A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations. Zbl 1331.65164
Luo, Zhendong
1
2016
Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation. Zbl 1327.65210
An, Jing; Luo, Zhendong; Li, Hong; Sun, Ping
18
2015
Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration. Zbl 1318.35083
Luo, Zhendong; Gao, Junqiang; Xie, Zhenghui
11
2015
A POD-based reduced-order stabilized Crank-Nicolson MFE formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1488.65444
Luo, Zhendong
10
2015
Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations. Zbl 1311.76083
Luo, Zhendong
9
2015
A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations. Zbl 1411.74060
Luo, Zhendong
7
2015
A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation. Zbl 1328.65211
Luo, Zhendong; Li, Hong; Chen, Jing; Teng, Fei
5
2015
A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations. Zbl 1307.65115
Luo, Zhendong
4
2015
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1363.76041
Luo, Zhendong
1
2015
The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration. Zbl 1423.76316
Luo, Zhendong; Gao, Junqiang
1
2015
A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations. Zbl 1343.76031
Luo, Zhendong
11
2014
A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations. Zbl 1313.65307
Liu, Qun; Teng, Fei; Luo, Zhendong
9
2014
A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations. Zbl 1338.76077
Luo, Zhendong
6
2014
A proper orthogonal decomposition based reduced-order finite difference extrapolation iterative format for 2D hyperbolic equations. Zbl 1324.65115
Teng, Fei; Luo, Zhendong; Li, Xiaobo
5
2014
A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations. Zbl 1313.65267
Luo, Zhendong; Li, Hong
5
2014
A POD-based reduced-order FD extrapolating algorithm for traffic flow. Zbl 1343.76032
Luo, Zhendong; Xie, Di; Teng, Fei
5
2014
A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations. Zbl 1507.65142
Luo, Zhendong; Teng, Fei; Di, Zhenhua
5
2014
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
4
2014
A POD-based reduced-order CN finite element extrapolating model for unsaturated soil water flow equation. Zbl 1313.76064
Teng, Fei; Luo, Zhendong
2
2014
A fully discrete SCNFVE formulation for the non-stationary Navier-Stokes equations. Zbl 1356.76190
Luo, Zhendong; Teng, Fei
1
2014
A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations. Zbl 1426.76478
Luo, Zhendong; Li, Hong; Sun, Ping; Gao, Junqiang
23
2013
A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem. Zbl 1304.65198
Luo, Zhendong; Li, Hong; Sun, Ping
14
2013
A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations. Zbl 1273.65117
Luo, Zhendong; Li, Hong; Sun, Ping
13
2013
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems. Zbl 1490.65171
Luo, Zhendong; Li, Hong; Sun, Ping; An, Jing; Navon, Ionel Michael
8
2013
A new reduced-order FVE algorithm based on POD method for viscoelastic equations. Zbl 1313.74040
Li, Hong; Luo, Zhendong; Gao, Junqiang
2
2013
A reduced-order MFE formulation based on POD method for parabolic equations. Zbl 1299.65232
Luo, Zhendong; Li, Lei; Sun, Ping
2
2013
An extrapolation reduced-order FDS based on POD technique for a traffic flow model. Zbl 1299.65256
Luo, Zhendong; Gao, Junqiang; Sun, Ping; An, Jing
1
2013
A mixed covolume method for pseudo-hyperbolic equations. Zbl 1299.65205
Fang, Zhichao; Li, Hong; Luo, Zhendong
1
2013
A new splitting positive definite mixed finite element method for a viscoelastic equation. Zbl 1495.65171
Li, Xian Chong; Sun, Ping; An, Jing; Luo, Zhen Dong
1
2013
A reduced finite element formulation based on POD method for two-dimensional solute transport problems. Zbl 1243.65123
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Xie, Zhenghui
35
2012
A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem. Zbl 1368.74071
Luo, Zhendong; Li, Hong; Zhou, Yanjie; Huang, Xiaoming
21
2012
A fully discrete finite volume element formulation for the Sobolev equation and numerical simulations. Zbl 1265.65221
Li, Hong; Luo, Zhendong; An, Jing; Sun, Ping
10
2012
A finite volume element formulation and error analysis for the non-stationary conduction-convection problem. Zbl 1248.35163
Li, Hong; Luo, Zhendong; Sun, Ping; An, Jing
7
2012
An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation. Zbl 1426.76466
Di, Zhenhua; Luo, Zhendong; Xie, Zhenghui; Wang, Aiwen; Navon, I. M.
7
2012
A reduced-order extrapolation algorithm of fully second-order finite difference scheme for non-stationary Burgers equation. Zbl 1488.65288
Sun, Ping; Li, Hong; Teng, Fei; Luo, Zhendong
3
2012
A reduced FE formulation based on POD method for hyperbolic equations. Zbl 1274.65273
Luo, Zhendong; Ou, Qiulan; Wu, Jiarong; Xie, Zhenghui
2
2012
A new mixed finite element formulation and error estimates for parabolic equations. Zbl 1289.65224
Li, Lei; Sun, Ping; Luo, Zhendong
1
2012
A fully discrete finite volume element formulation and numerical simulations for viscoelastic equations. Zbl 1289.74161
Li, Hong; Sun, Ping; Shang, Yueqiang; Luo, Zhendong
1
2012
A reduced-order finite volume element formulation based on POD method and implementation of its extrapolation algorithm for unsaturated soil water flow equation. Zbl 1488.65352
Luo, Zhendong; Li, Hong; Chen, Jing
1
2012
A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems. Zbl 1227.65076
Luo, Zhendong; Xie, Zhenghui; Shang, Yueqiang; Chen, Jing
38
2011
A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non-stationary Navier-Stokes equations. Zbl 1242.76129
Luo, Zhendong; Du, Juan; Xie, Zhenghui; Guo, Yan
24
2011
Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation. Zbl 1237.65126
Luo, Zhen-dong; Ou, Qiu-lan; Xie, Zheng-hui
18
2011
A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier-Stokes equations. Zbl 1245.76056
Shang, Yueqiang; He, Yinnian; Luo, Zhendong
18
2011
Numerical simulation based on POD for two-dimensional solute transport problems. Zbl 1217.74082
Li, Huanrong; Luo, Zhendong; Chen, Jing
18
2011
An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations. Zbl 1429.35184
Du, Juan; Zhu, Jiang; Luo, Zhendong; Navon, I. M.
17
2011
A stabilized fully discrete finite volume element formulation for the non-stationary Stokes equation. Zbl 1240.76002
An, Jing; Sun, Ping; Luo, Zhendong; Huang, Xiaoming
11
2011
A reduced MFE formulation based on POD for the non-stationary conduction-convection problems. Zbl 1249.65199
Luo, Zhendong; Xie, Zhenghui; Chen, Jing
9
2011
A reduced second-order time accurate finite element formulation based on POD for parabolic equations. Zbl 1488.65445
Luo, Zhendong; Chen, Jing; Xie, Zhenghui; An, Jing; Sun, Ping
6
2011
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
3
2011
...and 36 more Documents
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Cited by 688 Authors

82 Luo, Zhendong
31 Li, Hong
22 Navon, Ionel Michael
21 Dehghan Takht Fooladi, Mehdi
20 Abbaszadeh, Mostafa
16 Liu, Yang
16 Teng, Fei
15 Li, Huanrong
14 Fang, Fangxin
12 Iliescu, Traian
12 Pain, Christopher C.
11 Huang, Pengzhan
11 Shang, Yueqiang
11 Si, Zhiyong
11 Zhou, Yanjie
9 He, Yinnian
8 Zhu, Jiang
7 Chen, Jing
7 Fang, Zhichao
7 Hou, Yanren
7 Shi, Dongyang
7 Sun, Ping
7 Wang, Jinfeng
7 Wang, Zhu
7 Xie, Zhenghui
7 Zhang, Tong
6 Buchan, Andrew G.
6 Feng, Xinlong
6 Rui, Hongxing
6 Song, Zhengyuan
6 Xia, Hong
6 Zhao, Zhihui
5 An, Jing
5 Chen, Huanzhen
5 Gao, Junqiang
5 Huang, Ting-Zhu
5 Lanteri, Stéphane
5 Li, Kun
5 Li, Liang
5 Song, Junpeng
5 Zhang, Yunzhang
4 Chen, Chuanjun
4 Du, Juan
4 He, Siriguleng
4 Jin, Shiju
4 Li, Qing
4 Wang, Dongmei
4 Xiao, Dunhui
4 Xie, Xiaoping
4 Zhang, Xiaohua
4 Zhao, Jie
3 Allison, P. A.
3 Borggaard, Jeff T.
3 Chen, Xiao
3 Chu, Xiaochen
3 Di, Zhenhua
3 Durlofsky, Louis J.
3 Gao, Wei
3 Ghaffari, Rezvan
3 Ghoreishi, Farideh
3 Goddard, A. J. H.
3 Gorman, Gerard J.
3 Heemink, Arnold Willem
3 Huang, Qiumei
3 Kumar, Naresh
3 Li, Jian
3 Liu, Qian
3 Nikan, Omid
3 Piggott, Matthew D.
3 Qin, Jin
3 Ramos, Juan I.
3 Rebholz, Leo G.
3 Ruiz-Baier, Ricardo
3 Singler, John R.
3 Soulaimani, Azzeddine
3 Xu, Fei
3 Yang, Jing
3 Yang, Xiaozhong
3 Yu, Jian
3 Zada, Akbar
3 Zeng, Yihui
3 Zhao, Wenju
3 Zokagoa, Jean Marie
2 Akhtar, Imran
2 Allery, Cyrille
2 Altaf, M. Umer
2 Alzabut, Jehad O.
2 Ammar, Amine
2 Avazzadeh, Zakieh
2 Băleanu, Dumitru I.
2 Bi, Hai
2 Biegler, Lorenz T.
2 Cao, Yanhua
2 Cardoso, M. A.
2 Chaturantabut, Saifon
2 Chen, Fan
2 Cheng, Aijie
2 Dağ, İdris
2 Deka, Bhupen
2 Du, Yanwei
...and 588 more Authors
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Cited in 102 Serials

28 AIMS Mathematics
24 Applied Numerical Mathematics
23 Computers & Mathematics with Applications
22 Journal of Mathematical Analysis and Applications
21 Computer Methods in Applied Mechanics and Engineering
21 Journal of Computational Physics
17 Applied Mathematics and Computation
17 Numerical Methods for Partial Differential Equations
14 Journal of Scientific Computing
12 Advances in Difference Equations
10 International Journal for Numerical Methods in Fluids
10 Engineering Analysis with Boundary Elements
10 Journal of Inequalities and Applications
10 Boundary Value Problems
9 Journal of Computational and Applied Mathematics
8 Applied Mathematics and Mechanics. (English Edition)
7 Applied Mathematical Modelling
7 Communications in Nonlinear Science and Numerical Simulation
6 Computers and Fluids
6 Numerical Algorithms
6 Computational and Applied Mathematics
6 Advances in Computational Mathematics
6 International Journal of Computational Fluid Dynamics
6 Discrete and Continuous Dynamical Systems. Series B
6 Advances in Applied Mathematics and Mechanics
6 AMM. Applied Mathematics and Mechanics. (English Edition)
5 International Journal for Numerical Methods in Engineering
5 Applied Mathematics Letters
5 Mathematical Problems in Engineering
4 Mathematics and Computers in Simulation
4 International Journal of Computer Mathematics
4 Mathematical Modelling and Analysis
3 Mathematical Methods in the Applied Sciences
3 Acta Mathematicae Applicatae Sinica. English Series
3 Applied Mathematics. Series B (English Edition)
3 Computational Geosciences
3 Journal of Applied Mathematics and Computing
3 International Journal of Computational Methods
3 Communications in Computational Physics
3 East Asian Journal on Applied Mathematics
2 Applicable Analysis
2 Journal of the Franklin Institute
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2 SIAM Journal on Numerical Analysis
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2 Acta Applicandae Mathematicae
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2 Numerical Linear Algebra with Applications
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
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2 Thai Journal of Mathematics
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2 Frontiers of Mathematics in China
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1 Russian Journal of Mathematical Physics
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1 Science in China. Series E
1 Differential Equations and Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Lobachevskii Journal of Mathematics
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1 Mathematical Biosciences and Engineering
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1 GAMM-Mitteilungen
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Cited in 39 Fields

358 Numerical analysis (65-XX)
195 Partial differential equations (35-XX)
171 Fluid mechanics (76-XX)
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