## Luo, Zhendong

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 Author ID: luo.zhendong Published as: Luo, Zhendong; Luo, Zhen Dong; Luo, Zhen-dong; Luo, Zhen-Dong; Luo, ZhenDong more...less
 Documents Indexed: 188 Publications since 1975, including 1 Book Co-Authors: 67 Co-Authors with 149 Joint Publications 2,012 Co-Co-Authors
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### Co-Authors

 27 single-authored 29 Sun, Ping 27 Teng, Fei 22 Li, Hong 19 Zhu, Jiang 17 Chen, Jing 15 Xie, Zhenghui 15 Zhou, Yanjie 13 An, Jing 9 Navon, Ionel Michael 7 Gao, Junqiang 6 Xia, Hong 5 Jin, Shiju 5 Li, Huanrong 5 Yang, Xiaozhong 5 Zhao, Zhihui 4 Shang, Yueqiang 4 Wang, Lieheng 3 Cao, Yanhua 3 Jiang, Wenrui 3 Liu, Ruxun 3 Wang, Ruiwen 3 Zeng, Qingcun 2 Bigham, John 2 Chen, Goong 2 Di, Zhenhua 2 Du, Juan 2 Fang, Zhichao 2 Huang, Xiaoming 2 Liu, Qun 2 Liu, Yuanan 2 Lu, Xiu Min 2 Mao, Yunkui 2 Ou, Qiulan 2 Ren, Hulin 2 Tian, Xiangjun 2 Wang, Hui 2 Zeng, Yihui 1 Bi, Hai 1 Bullock, Thomas E. 1 Cai, Mingchao 1 Deng, Qiuxiang 1 Fan, Yiting 1 Fang, Qihong 1 Feng, Yuanyuan 1 Gao, Jinchun 1 Guo, Yan 1 He, Qingfang 1 He, Yinnian 1 Huang, Dawei 1 Jardine, John Frederick 1 Li, Qian 1 Li, Xianchong 1 Li, Xiaobo 1 Li, Yaru 1 Liang, Ye 1 Lin, Fubiao 1 Liu, Siyang 1 Liu, Yang 1 Liu, Youwen 1 Nie, Weifu 1 Ren, Shanjing 1 Soldatos, J. 1 Song, HaoPeng 1 Tian, Jing 1 Vayias, E. 1 Wang, Aiwen 1 Wang, Huijun 1 Wang, Jingliang 1 Wu, Jiarong 1 Wu, Yijie 1 Xie, Di 1 You, Yuncheng 1 Zhang, Guifang 1 Zhang, Guiming 1 Zhang, Yanan 1 Zhu, Taiying 1 Zhu, Zhu
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### Serials

 27 Mathematica Numerica Sinica 13 Journal of Mathematical Analysis and Applications 12 Applied Mathematics and Mechanics. (English Edition) 10 Journal of Inequalities and Applications 7 Applied Numerical Mathematics 7 Acta Mathematica Scientia. Series A. (Chinese Edition) 7 Acta Mathematica Scientia. Series B. (English Edition) 7 Boundary Value Problems 6 Advances in Difference Equations 5 Applied Mathematics and Computation 4 International Journal for Numerical Methods in Fluids 4 Journal of Inner Mongolia University 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematical Modelling 3 Chinese Journal of Numerical Mathematics and Applications 3 Scientia Sinica. Mathematica 2 Modern Physics Letters A 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 IEEE Transactions on Automatic Control 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 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 Modern Physics Letters B 1 Computers and Fluids 1 IEEE Transactions on Information Theory 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 International Journal for Numerical Methods in Engineering 1 Numerical Mathematics 1 Advances in Mathematics 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 IEEE Transactions on Signal Processing 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 IEE Proceedings. Control Theory and Applications 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 1 CMES. Computer Modeling in Engineering & Sciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Science in China. Series F 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
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### Fields

 155 Numerical analysis (65-XX) 82 Partial differential equations (35-XX) 68 Fluid mechanics (76-XX) 15 Mechanics of deformable solids (74-XX) 11 Geophysics (86-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Biology and other natural sciences (92-XX) 1 Algebraic geometry (14-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

128 Publications have been cited 1,088 times in 380 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
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
2007
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.
2007
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.
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
2010
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
2009
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.
2006
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
2011
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032
Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang
2009
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
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
2012
Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. Zbl 1134.35387
Luo, Zhendong; Wang, Ruiwen; Zhu, Jiang
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
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
2013
A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation. Zbl 1169.65096
Luo, Zhendong; Zhou, Yanjie; Yang, Xiaozhong
2009
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
2012
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
2019
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
2011
A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation. Zbl 1440.65093
Luo, Zhendong; Wang, Hui
2020
Numerical simulation based on POD for two-dimensional solute transport problems. Zbl 1217.74082
Li, Huanrong; Luo, Zhendong; Chen, Jing
2011
Finite element formulation based on proper orthogonal decomposition for parabolic equations. Zbl 1183.65122
Luo, ZhenDong; Chen, Jing; Sun, Ping; Yang, XiaoZhong
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
2015
Mixed finite element analysis and numerical solitary solution for the RLW equation. Zbl 0927.65123
Luo, Zhendong; Liu, Ruxun
1998
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
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.
2011
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
2020
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. Zbl 1446.65073
Luo, Zhendong; Ren, Hulin
2020
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
2016
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
2020
A new space-time continuous Galerkin method with mesh modification for Sobolev equations. Zbl 1382.65335
Zhao, Zhihui; Li, Hong; Luo, Zhendong
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
2016
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
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
2013
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation. Zbl 1427.65174
Luo, Zhendong; Teng, Fei
2018
A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations. Zbl 1343.76031
Luo, Zhendong
2014
An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation. Zbl 1353.74078
Luo, Zhendong; Teng, Fei
2017
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
2013
A reduced MFE formulation based on POD for the non-stationary conduction-convection problems. Zbl 1249.65199
Luo, Zhendong; Xie, Zhenghui; Chen, Jing
2011
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
2015
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
2012
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
2011
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
2020
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
2014
Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations. Zbl 1311.76083
Luo, Zhendong
2015
A parallel two-level finite element method for the Navier-Stokes equations. Zbl 1410.76196
Shang, Yue-qiang; Luo, Zhen-dong
2010
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. Zbl 1372.65277
Zhao, Zhihui; Li, Hong; Luo, Zhendong
2017
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations. Zbl 1422.65211
Luo, Zhendong; Teng, Fei
2017
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
2012
Mixed finite element analysis and numerical simulation for Burgers equation. Zbl 0933.65117
Luo, Zhendong; Liu, Ruxun
1999
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
2019
A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations. Zbl 1373.65074
Zhao, Zhihui; Li, Hong; Luo, Zhendong
2017
A POD-based reduced-order FD extrapolating algorithm for traffic flow. Zbl 1343.76032
Luo, Zhendong; Xie, Di; Teng, Fei
2014
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. Zbl 1380.65190
Xia, Hong; Luo, Zhendong
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
2017
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
2009
A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations. Zbl 1338.76077
Luo, Zhendong
2014
A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1363.76042
Luo, Zhendong
2016
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
2021
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
2018
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1332.65127
Luo, Zhen Dong
2016
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
2014
A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations. Zbl 1411.74060
Luo, Zhendong
2015
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.
2012
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
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
2016
Higher principal bundles. Zbl 1109.18007
Jardine, J. F.; Luo, Z.
2006
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
2003
The Crank-Nicolson finite spectral element method and numerical simulations for 2D non-stationary Navier-Stokes equations. Zbl 1452.65278
Luo, Zhendong; Jiang, Wenrui
2020
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
2017
Two-to-one resonant Hopf bifurcations in a quadratically nonlinear oscillator involving time delay. Zbl 1270.34186
Ji, J. C.; Li, X. Y.; Luo, Z.; Zhang, N.
2012
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
2015
Transformations between canonical forms for multivariable linear constant systems. Zbl 0356.93010
Luo, Z.
1977
A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations. Zbl 1313.65267
Luo, Zhendong; Li, Hong
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
2004
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
2015
A natural boundary element method for the Sobolev equation in the 2D unbounded domain. Zbl 1422.65431
Teng, Fei; Luo, Zhendong; Yang, Jing
2017
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
2019
Bubble stabilization and a posteriori error estimate of MFE method for plane elasticity problems. Zbl 1115.74051
Luo, Zhendong
2006
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
2013
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132
Luo, Zhendong
2020
A POD-based reduced-order stabilized Crank-Nicolson MFE formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1488.65444
Luo, Zhendong
2015
An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation. Zbl 1422.65191
Xia, Hong; Luo, Zhendong
2017
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
2014
Discrete Kalman filtering using a generalized companion form. Zbl 0299.93040
Luo, Z.; Bullock, T. E.
1975
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
2004
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
2011
The third order estimate of mixed finite element for the Navier-Stokes problem. Zbl 0967.76558
Luo, Zhendong
1995
An optimized finite element extrapolating method for 2D viscoelastic wave equation. Zbl 1372.65313
Xia, Hong; Luo, Zhendong
2017
Generalized difference methods and numerical simulation for two-dimensional viscoelastic problems. Zbl 1142.74387
Li, Huanrong; Luo, Zhendong; Li, Qian
2007
A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations. Zbl 1344.65088
Luo, Zhendong
2016
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
2019
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations. Zbl 07445853
Zhou, Yanjie; Luo, Zhendong
2018
A space-time continuous finite element method for 2D viscoelastic wave equation. Zbl 1332.74047
Li, Hong; Zhao, Zhihui; Luo, Zhendong
2016
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
1998
A reduced FE formulation based on POD method for hyperbolic equations. Zbl 1274.65273
Luo, Zhendong; Ou, Qiulan; Wu, Jiarong; Xie, Zhenghui
2012
A new reduced-order FVE algorithm based on POD method for viscoelastic equations. Zbl 1313.74040
Li, Hong; Luo, Zhendong; Gao, Junqiang
2013
A reduced-order MFE formulation based on POD method for parabolic equations. Zbl 1299.65232
Luo, Zhendong; Li, Lei; Sun, Ping
2013
A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations. Zbl 1143.76481
Luo, Zhendong; Zhu, Jiang
2002
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
2019
The second order mixed finite element method of quadrilateral elements for Stokes problem in two dimensional space. Zbl 0760.76049
Luo, Zhendong
1990
A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. Zbl 1484.65178
Deng, Qiuxiang; Luo, Zhendong
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
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
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
2021
A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. Zbl 1488.65390
Teng, Fei; Luo, Zhendong
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
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
2020
A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. Zbl 1446.65073
Luo, Zhendong; Ren, Hulin
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
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
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
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
2020
An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. Zbl 1454.65132
Luo, Zhendong
2020
Modified fermion tunneling radiation of Demianski-Newman black hole at higher energy scales. Zbl 1434.81137
Luo, Z.; Lan, X. G.
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
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
2019
A Crank-Nicolson collocation spectral method for the two-dimensional viscoelastic wave equation. Zbl 1418.76037
Jin, Shiju; Luo, Zhendong
2019
Proper orthogonal decomposition methods for partial differential equations. Zbl 1458.65002
Luo, Zhendong; Chen, Goong
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
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
2019
On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities. Zbl 1422.76150
Luo, Z.; Zhou, Y.
2019
A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation. Zbl 1427.65174
Luo, Zhendong; Teng, Fei
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
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
2018
A Crank-Nicolson collocation spectral method for the two-dimensional telegraph equations. Zbl 07445853
Zhou, Yanjie; Luo, Zhendong
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
2018
An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation. Zbl 1353.74078
Luo, Zhendong; Teng, Fei
2017
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations. Zbl 1372.65277
Zhao, Zhihui; Li, Hong; Luo, Zhendong
2017
Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations. Zbl 1422.65211
Luo, Zhendong; Teng, Fei
2017
A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations. Zbl 1373.65074
Zhao, Zhihui; Li, Hong; Luo, Zhendong
2017
Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation. Zbl 1380.65190
Xia, Hong; Luo, Zhendong
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
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
2017
A natural boundary element method for the Sobolev equation in the 2D unbounded domain. Zbl 1422.65431
Teng, Fei; Luo, Zhendong; Yang, Jing
2017
An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation. Zbl 1422.65191
Xia, Hong; Luo, Zhendong
2017
An optimized finite element extrapolating method for 2D viscoelastic wave equation. Zbl 1372.65313
Xia, Hong; Luo, Zhendong
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
2017
Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system. Zbl 1360.76148
Luo, Zhendong; Gao, Junqiang
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
2016
A new space-time continuous Galerkin method with mesh modification for Sobolev equations. Zbl 1382.65335
Zhao, Zhihui; Li, Hong; Luo, Zhendong
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
2016
A stabilized mixed finite element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1363.76042
Luo, Zhendong
2016
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary incompressible Boussinesq equations. Zbl 1332.65127
Luo, Zhen Dong
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
2016
A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations. Zbl 1344.65088
Luo, Zhendong
2016
A space-time continuous finite element method for 2D viscoelastic wave equation. Zbl 1332.74047
Li, Hong; Zhao, Zhihui; Luo, Zhendong
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
2016
A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations. Zbl 1331.65164
Luo, Zhendong
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
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
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
2015
A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations. Zbl 1411.74060
Luo, Zhendong
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
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
2015
A POD-based reduced-order stabilized Crank-Nicolson MFE formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1488.65444
Luo, Zhendong
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
2015
A stabilized Crank-Nicolson mixed finite volume element formulation for the non-stationary parabolized Navier-Stokes equations. Zbl 1363.76041
Luo, Zhendong
2015
A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations. Zbl 1343.76031
Luo, Zhendong
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
2014
A POD-based reduced-order FD extrapolating algorithm for traffic flow. Zbl 1343.76032
Luo, Zhendong; Xie, Di; Teng, Fei
2014
A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations. Zbl 1338.76077
Luo, Zhendong
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
2014
A POD reduced-order SPDMFE extrapolating algorithm for hyperbolic equations. Zbl 1313.65267
Luo, Zhendong; Li, Hong
2014
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
2014
A fully discrete SCNFVE formulation for the non-stationary Navier-Stokes equations. Zbl 1356.76190
Luo, Zhendong; Teng, Fei
2014
A POD-based reduced-order CN finite element extrapolating model for unsaturated soil water flow equation. Zbl 1313.76064
Teng, Fei; Luo, Zhendong
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
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
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
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
2013
A new reduced-order FVE algorithm based on POD method for viscoelastic equations. Zbl 1313.74040
Li, Hong; Luo, Zhendong; Gao, Junqiang
2013
A reduced-order MFE formulation based on POD method for parabolic equations. Zbl 1299.65232
Luo, Zhendong; Li, Lei; Sun, Ping
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
2013
A mixed covolume method for pseudo-hyperbolic equations. Zbl 1299.65205
Fang, Zhichao; Li, Hong; Luo, Zhendong
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
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
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
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
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.
2012
Two-to-one resonant Hopf bifurcations in a quadratically nonlinear oscillator involving time delay. Zbl 1270.34186
Ji, J. C.; Li, X. Y.; Luo, Z.; Zhang, N.
2012
A reduced FE formulation based on POD method for hyperbolic equations. Zbl 1274.65273
Luo, Zhendong; Ou, Qiulan; Wu, Jiarong; Xie, Zhenghui
2012
A new mixed finite element formulation and error estimates for parabolic equations. Zbl 1289.65224
Li, Lei; Sun, Ping; Luo, Zhendong
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
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
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
2011
Numerical simulation based on POD for two-dimensional solute transport problems. Zbl 1217.74082
Li, Huanrong; Luo, Zhendong; Chen, Jing
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
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.
2011
A reduced MFE formulation based on POD for the non-stationary conduction-convection problems. Zbl 1249.65199
Luo, Zhendong; Xie, Zhenghui; Chen, Jing
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
2011
Self-discrete finite volume element simulation for a two-dimension unsaturated soil water flow problem. Zbl 1240.76012
Li, Huanrong; Luo, Zhendong
2011
A reduced second order time accurate finite element formulation of time second order central difference based on POD approach for parabolic equations. Zbl 1249.65206
Teng, Fei; Sun, Ping; Luo, Zhendong
2011
Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations. Zbl 1193.65159
Sun, Ping; Luo, Zhendong; Zhou, Yanjie
2010
A parallel two-level finite element method for the Navier-Stokes equations. Zbl 1410.76196
Shang, Yue-qiang; Luo, Zhen-dong
2010
Implication of entropy flow for the development of a system as suggested by the life cycle of a hurricane. Zbl 1195.86009
Liu, C.; Luo, Z.; Liu, Y.; Yu, H.; Zhou, X.; Wang, D.; Ma, L.; Xu, H.
2010
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
2009
An optimizing reduced PLSMFE formulation for non-stationary conduction-convection problems. Zbl 1161.76032
Luo, Zhendong; Chen, Jing; Navon, I. M.; Zhu, Jiang
2009
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
2009
A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation. Zbl 1169.65096
Luo, Zhendong; Zhou, Yanjie; Yang, Xiaozhong
2009
Finite element formulation based on proper orthogonal decomposition for parabolic equations. Zbl 1183.65122
Luo, ZhenDong; Chen, Jing; Sun, Ping; Yang, XiaoZhong
2009
...and 28 more Documents
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### Cited by 565 Authors

 79 Luo, Zhendong 29 Li, Hong 18 Navon, Ionel Michael 16 Dehghan Takht Fooladi, Mehdi 16 Teng, Fei 15 Abbaszadeh, Mostafa 14 Liu, Yang 12 Iliescu, Traian 12 Li, Huanrong 11 Fang, Fangxin 11 Huang, Pengzhan 11 Shang, Yueqiang 11 Zhou, Yanjie 10 Pain, Christopher C. 10 Si, Zhiyong 9 He, Yinnian 8 Zhu, Jiang 7 Chen, Jing 7 Hou, Yanren 7 Sun, Ping 7 Wang, Zhu 7 Xie, Zhenghui 6 Buchan, Andrew G. 6 Fang, Zhichao 6 Feng, Xinlong 6 Shi, Dongyang 6 Wang, Jinfeng 6 Xia, Hong 6 Zhao, Zhihui 5 An, Jing 5 Gao, Junqiang 5 Zhang, Yunzhang 4 Du, Juan 4 He, Siriguleng 4 Huang, Ting-Zhu 4 Lanteri, Stéphane 4 Li, Kun 4 Li, Liang 4 Rui, Hongxing 4 Song, Junpeng 4 Song, Zhengyuan 3 Allison, P. A. 3 Borggaard, Jeff T. 3 Chen, Xiao 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 Jin, Shiju 3 Li, Jian 3 Piggott, Matthew D. 3 Qin, Jin 3 Ramos, Juan I. 3 Rebholz, Leo G. 3 Ruiz-Baier, Ricardo 3 Wang, Dongmei 3 Xiao, Dianshi 3 Xie, Xiaoping 3 Yang, Xiaozhong 3 Zada, Akbar 3 Zhang, Xiaohua 3 Zhao, Jie 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, Huanzhen 2 Cheng, Aijie 2 Dağ, İdris 2 Du, Yanwei 2 Dumon, Antoine 2 Harris, Isaac 2 Hoteit, Ibrahim 2 Hou, Yuanyuan 2 Hu, Xiaohui 2 Jia, Mei 2 Jiang, Wenrui 2 Li, Yukun 2 Liu, Jincun 2 Liu, Qian 2 Liu, Xiping 2 Ma, Hongkun 2 Ma, Xiaoling 2 Mao, Yunkui 2 Mei, Liquan 2 Mohebbi, Akbar 2 Nikan, Omid ...and 465 more Authors
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### Cited in 93 Serials

 28 AIMS Mathematics 23 Applied Numerical Mathematics 20 Journal of Mathematical Analysis and Applications 19 Journal of Computational Physics 18 Computer Methods in Applied Mechanics and Engineering 17 Applied Mathematics and Computation 16 Computers & Mathematics with Applications 12 Journal of Scientific Computing 12 Advances in Difference Equations 10 International Journal for Numerical Methods in Fluids 9 Journal of Computational and Applied Mathematics 9 Journal of Inequalities and Applications 8 Applied Mathematics and Mechanics. (English Edition) 8 Engineering Analysis with Boundary Elements 7 Applied Mathematical Modelling 7 Boundary Value Problems 6 Numerical Methods for Partial Differential Equations 6 AMM. Applied Mathematics and Mechanics. (English Edition) 5 Computers and Fluids 5 Mathematical Problems in Engineering 5 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Applied Mathematics and Mechanics 4 International Journal for Numerical Methods in Engineering 4 Mathematics and Computers in Simulation 4 Applied Mathematics Letters 4 International Journal of Computer Mathematics 4 International Journal of Computational Fluid Dynamics 4 Discrete and Continuous Dynamical Systems. Series B 3 Numerical Algorithms 3 Applied Mathematics. Series B (English Edition) 3 Computational and Applied Mathematics 3 Advances in Computational Mathematics 3 Computational Geosciences 3 Mathematical Modelling and Analysis 3 Journal of Applied Mathematics and Computing 2 Journal of the Franklin Institute 2 Mathematical Methods in the Applied Sciences 2 Computing 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 SIAM Journal on Scientific Computing 2 Numerical Linear Algebra with Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Abstract and Applied Analysis 2 Optimization and Engineering 2 Journal of Applied Mathematics 2 Journal of Numerical Mathematics 2 Thai Journal of Mathematics 2 International Journal of Computational Methods 2 International Journal of Numerical Analysis and Modeling 2 Frontiers of Mathematics in China 2 Communications in Computational Physics 2 Research in the Mathematical Sciences 2 International Journal of Applied and Computational Mathematics 1 Acta Mechanica 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Results in Mathematics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Journal of Dynamics and Differential Equations 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Mathematical Physics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Science in China. Series E 1 Differential Equations and Dynamical Systems 1 Discrete Dynamics in Nature and Society 1 Lobachevskii Journal of Mathematics 1 Computational Methods in Applied Mathematics 1 Mediterranean Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Nonlinear Science and Applications 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Journal of Applied Mathematics & Informatics 1 Journal of Applied Analysis and Computation 1 Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications
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### Cited in 33 Fields

 292 Numerical analysis (65-XX) 154 Partial differential equations (35-XX) 146 Fluid mechanics (76-XX) 28 Ordinary differential equations (34-XX) 26 Mechanics of deformable solids (74-XX) 20 Geophysics (86-XX) 15 Real functions (26-XX) 12 Biology and other natural sciences (92-XX) 11 Systems theory; control (93-XX) 10 Optics, electromagnetic theory (78-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Operator theory (47-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)