Zhendong Luo

发表

A reduced‐order approach to four‐dimensional variational data assimilation using proper orthogonal decomposition

Ionel M. Navon, Yanhua Cao, Jiang Zhu, 2007 .

A POD-based reduced-order FD extrapolating algorithm for traffic flow

Zhendong Luo, Di Xie, Fei Teng, 2014 .

Urban scaling-up and endogenous development promoted by continuous city marketing: A case study of Xuyi County, China

Y. Hu, Zhendong Luo, Xu Wang, 2013 .

Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation

Zhendong Luo, Jing Yang, 2019, Journal of Mathematical Analysis and Applications.

An optimizing reduced order FDS for the tropical Pacific Ocean reduced gravity model

Ionel M. Navon, Jiang Zhu, Zhendong Luo, 2007 .

Reduced‐order modeling based on POD of a parabolized Navier–Stokes equation model I: forward model

Ionel M. Navon, Zhendong Luo, A. Alekseev, 2012 .

A reduced finite element formulation based on POD method for two-dimensional solute transport problems

Zhendong Luo, Hong Li, Zhenghui Xie, 2012 .

Reduced Order Modeling of the Upper Tropical Pacific Ocean Model Using Proper Orthogonal Decomposion

Navon, Yanhua Cao, Jiang Zhu, 2005 .

A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation

Zhendong Luo, Hulin Ren, 2020 .

The Reduced-Order Extrapolating Method about the Crank-Nicolson Finite Element Solution Coefficient Vectors for Parabolic Type Equation

Zhendong Luo, 2020 .

A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay

Yanhua Cao, Zhendong Luo, 2018 .

A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain

Zhendong Luo, Fei Teng, Jing Yang, 2019, Comput. Appl. Math..

An optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation

Zhendong Luo, Yan-jie Zhou, 2019, Advances in Difference Equations.

A reduced-order extrapolated Crank–Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations

Zhendong Luo, Fei Teng, H. Xia, 2019, Journal of Mathematical Analysis and Applications.

A reduced-order extrapolated Crank–Nicolson finite spectral element method for the 2D non-stationary Navier-Stokes equations about vorticity-stream functions

Zhendong Luo, Wenrui Jiang, 2020 .

Numerical simulation based on POD for two-dimensional solute transport problems☆

J. Chen, Zhendong Luo, Huanrong Li, 2011 .

A POD reduced-order finite difference time-domain extrapolating scheme for the 2D Maxwell equations in a lossy medium

Zhendong Luo, Junqiang Gao, 2016 .

A Reduced-order extrapolation spectral-finite difference Scheme based on the POD method for 2D second-order hyperbolic equations

Zhendong Luo, Shiju Jin, 2017, Math. Model. Anal..

Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration

Zhendong Luo, Zhenghui Xie, Junqiang Gao, 2015 .

A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem☆

Zhendong Luo, Hong Li, Yan-jie Zhou, 2012 .

An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation

Zhendong Luo, Fei Teng, 2017 .

A reduced-order extrapolation technique for solution coefficient vectors in the mixed finite element method for the 2D nonlinear Rosenau equation

Zhendong Luo, Fei Teng, 2020 .

A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation

Yanjie Zhou, Zhendong Luo, Xiaozhong Yang, 2009 .

A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations

Zhendong Luo, Fei Teng, Z. Di, 2014 .

Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation

Ping Sun, Zhendong Luo, Hong Li, 2015 .

An optimizing implicit difference scheme based on proper orthogonal decomposition for the two-dimensional unsaturated soil water flow equation

Ionel M. Navon, Zhendong Luo, Zhenghui Xie, 2010 .

A high accuracy spectral method based on min/max principle for biharmonic eigenvalue problems on a spherical domain

Zhendong Luo, Jing An, 2016 .

A POD-Based Reduced-Order Stabilized Crank–Nicolson MFE Formulation for the Non-Stationary Parabolized Navier–Stokes Equations

Zhendong Luo, 2015 .

A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations

Zhendong Luo, Zhendong Luo, 2015, Boundary Value Problems.

A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation

Zhendong Luo, Q. He, Hui Wang, 2020 .

The Crank–Nicolson finite element method for the 2D uniform transmission line equation

Zhendong Luo, Hulin Ren, Yiting Fan, 2020 .

A spectral element Crank–Nicolson model to the 2D unsteady conduction–convection problems about vorticity and stream functions

Zhendong Luo, Fei Teng, Taiying Zhu, 2020 .

A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions

Zhendong Luo, Fei Teng, Yan-jie Zhou, 2018, Journal of Inequalities and Applications.

Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation

Zhendong Luo, H. Xia, 2017 .

A natural boundary element method for the Sobolev equation in the 2D unbounded domain

Zhendong Luo, Fei Teng, Jing Yang, 2017 .

A space‐time continuous Galerkin method with mesh modification for viscoelastic wave equations

Zhendong Luo, Hong Li, Zhihui Zhao, 2017 .

An optimized finite element extrapolating method for 2D viscoelastic wave equation

Zhendong Luo, H. Xia, 2017, Journal of Inequalities and Applications.

Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

Zhendong Luo, Junqiang Gao, 2017 .

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

Zhendong Luo, 2016 .

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

Zhendong Luo, 2016, Journal of Inequalities and Applications.

A reduced-order SMFVE extrapolation algorithm based on POD technique and CN method for the non-stationary Navier-Stokes equations

Zhendong Luo, 2015 .

Proper orthogonal decomposition-based reduced-order stabilized mixed finite volume element extrapolating model for the nonstationary incompressible Boussinesq equations

Zhendong Luo, 2015 .

A reduced-order LSMFE formulation based on POD method and implementation of algorithm for parabolic equations

Zhendong Luo, Hong Li, Zhichao Fang, 2012 .

Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations

Zhendong Luo, Fei Teng, 2017 .

A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation

Zhendong Luo, Hong Li, J. Chen, 2015 .

A REDUCED-ORDER MFE FORMULATION BASED ON POD METHOD FOR PARABOLIC EQUATIONS

Zhendong Luo, P. Sun, Lei Li, 2013 .

A New Reduced-Order fve Algorithm Based on POD Method for Viscoelastic Equations

Zhendong Luo, Hong Li, Junqiang Gao, 2013 .

A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

Zhendong Luo, Yan-jie Zhou, 2018, Advances in Difference Equations.

The Crank–Nicolson finite spectral element method and numerical simulations for 2D non‐stationary Navier–Stokes equations

Zhendong Luo, Wenrui Jiang, 2019, Mathematical Methods in the Applied Sciences.

Changing and Sustaining: The Evolution of Land Use Planning in the USA Since World War II

Zhendong Luo, Yan Song, 2018 .

A Quasi-Three-Dimensional Variably Saturated Groundwater Flow Model for Climate Modeling

Zhendong Luo, Zhenghui Xie, Z. Di, 2012 .

An Unchanged Basis Function and Preserving Accuracy Crank–Nicolson Finite Element Reduced-Dimension Method for Symmetric Tempered Fractional Diffusion Equation

Zhendong Luo, Xiaoyong Yang, 2022, Mathematics.

The Crank–Nicolson mixed finite element method for the improved system of time-domain Maxwell’s equations

Zhendong Luo, Yihui Zeng, 2022, Applied Mathematics and Computation.

An Equation-Free Reduced-Order Modeling Approach to Tropical Pacific Simulation

Ionel Michael Navon, Jiang Zhu, Zhendong Luo, 2009 .

An optimizing reduced PLSMFE formulation for non‐stationary conduction–convection problems

Jing Chen, Ionel Michael Navon, Zhendong Luo, 2009 .

A Stabilized Crank–Nicolson Mixed Finite Volume Element Formulation for the Non-stationary Incompressible Boussinesq Equations

Zhendong Luo, 2015, Journal of Scientific Computing.

Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation

Zhendong Luo, Haiyang Li, Jing An, 2015, Frontiers of Mathematics in China.

Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model

Ionel Michael Navon, Zhendong Luo, Ruiwen Wang, 2007 .

Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

Zhendong Luo, H. Xia, 2017, Applied Mathematics and Mechanics.

Reduced-order proper orthogonal decomposition extrapolating finite volume element format for two-dimensional hyperbolic equations

Zhendong Luo, Fei Teng, 2016, Applied Mathematics and Mechanics.

A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations

Zhendong Luo, Qun Liu, Fei Teng, 2014, Applied Mathematics-A Journal of Chinese Universities.

An optimizing finite difference scheme based on proper orthogonal decomposition for CVD equations

Juan Du, Ionel Michael Navon, Jiang Zhu, 2011 .

Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier-Stokes Equations

Jing Chen, Zhendong Luo, Ionel Michael Navon, 2008, SIAM J. Numer. Anal..

A Preserving Precision Mixed Finite Element Dimensionality Reduction Method for Unsaturated Flow Problem

Zhendong Luo, Yuejie Li, 2022, Mathematics.

A stabilized Crank-Nicolson mixed finite element method for non-stationary parabolized Navier-Stokes equations

Zhendong Luo, Fei Teng, Yan-jie Zhou, 2017, Acta Mathematicae Applicatae Sinica, English Series.

An optimized Crank–Nicolson finite difference extrapolating model for the fractional-order parabolic-type sine-Gordon equation

Zhendong Luo, Yan-jie Zhou, 2019, Advances in Difference Equations.

A reduced stabilized mixed finite element formulation based on proper orthogonal decomposition for the non‐stationary Navier–Stokes equations

Zhenghui Xie, Yan Guo, Zhendong Luo, 2011 .

The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows

Zhendong Luo, Jing Yang, 2022, J. Comput. Phys..

A reduced‐order extrapolating space–time continuous finite element method for the 2D Sobolev equation

Zhendong Luo, Jing Yang, 2020, Numerical Methods for Partial Differential Equations.

A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation

Zhendong Luo, Fei Teng, Zhendong Luo, 2018, Appl. Math. Comput..

Optimized finite difference iterative scheme based on POD technique for 2D viscoelastic wave equation

Zhendong Luo, H. Xia, 2017 .

An optimized finite difference Crank-Nicolson iterative scheme for the 2D Sobolev equation

Zhendong Luo, H. Xia, 2017 .

A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem

Zhendong Luo, H. Xia, 2017, Journal of inequalities and applications.

A reduced-order extrapolation central difference scheme based on POD for two-dimensional fourth-order hyperbolic equations

Zhendong Luo, Jing Chen, Shiju Jin, 2016, Appl. Math. Comput..

A POD-based reduced-order finite difference extrapolating model for the non-stationary incompressible Boussinesq equations

Zhendong Luo, 2014 .

A POD-based reduced-order FD extrapolating algorithm for traffic flow

Zhendong Luo, Di Xie, Fei Teng, 2014 .

A POD REDUCED-ORDER SPDMFE EXTRAPOLATING ALGORITHM FOR HYPERBOLIC EQUATIONS

Zhendong Luo, Hong Li, 2014 .

A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations

Zhendong Luo, Ping Sun, Hong Li, 2013, Appl. Math. Comput..

Some reduced finite difference schemes based on a proper orthogonal decomposition technique for parabolic equations

Ping Sun, Yanjie Zhou, Zhendong Luo, 2010 .

A reduced finite difference scheme based on singular value decomposition and proper orthogonal decomposition for Burgers equation

Yanjie Zhou, Zhendong Luo, Xiaozhong Yang, 2009 .

Finite element formulation based on proper orthogonal decomposition for parabolic equations

Ping Sun, Zhendong Luo, Jing Chen, 2009 .

Finite difference scheme based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations

Zhendong Luo, Ruiwen Wang, Jiang Zhu, 2007 .

Reduced-Order Modeling of the Upper Tropical Pacific Ocean Model using Proper Orthogonal Decomposition

Zhendong Luo, Jiang Zhu, Ionel Michael Navon, 2006, Comput. Math. Appl..

A high precision spectral method based on min / max principle for biharmonic eigenvalue problems on a spherical domain I

Zhendong Luo, An Jing, Zhendong Luo, 2016 .

An effective finite element Newton method for 2D p-Laplace equation with particular initial iterative function

Zhendong Luo, Fei Teng, 2016, Journal of Inequalities and Applications.

Mixed Finite Element Analysis and Numerical Solitary Solution for the RLW Equation

Zhendong Luo, Zhendong Luo, Ruxun Liu, 1998 .

The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration

Junqiang Gao, Zhendong Luo, Zhendong Luo, 2015 .

A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation

Zhendong Luo, Haiyang Li, Fei Teng, 2015, Japan Journal of Industrial and Applied Mathematics.

A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems

Zhendong Luo, Ping Sun, Hong Li, 2013, Math. Comput. Simul..

A comparison of three kinds of local and parallel finite element algorithms based on two-grid discretizations for the stationary Navier–Stokes equations

Yinnian He, Yueqiang Shang, Zhendong Luo, 2011 .

Reduced‐order extrapolation technique for coefficient vectors of numerical solutions about fluid mechanics equation

Zhendong Luo, Yuejie Li, Yihui Zeng, 2023, Numerical Methods for Partial Differential Equations.

The Crank–Nicolson finite element method for the 2D uniform transmission line equation

Zhendong Luo, Hulin Ren, Yiting Fan, 2020 .

A reduced order extrapolating technique of solution coefficient vectors to collocation spectral method for telegraph equation

Zhendong Luo, Q. He, Hui Wang, 2020 .

A reduced-order extrapolating collocation spectral method based on POD for the 2D Sobolev equations

Zhendong Luo, Shiju Jin, 2019, Boundary Value Problems.

A reduced‐order extrapolated Crank–Nicolson collocation spectral method based on proper orthogonal decomposition for the two‐dimensional viscoelastic wave equations

Zhendong Luo, Shiju Jin, 2019, Numerical Methods for Partial Differential Equations.

A Crank–Nicolson collocation spectral method for the two‐dimensional viscoelastic wave equation

Zhendong Luo, Shiju Jin, 2018, Numerical Methods for Partial Differential Equations.

A collocation spectral method for two-dimensional Sobolev equations

Zhendong Luo, Shiju Jin, 2018 .

A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions

Zhendong Luo, Fei Teng, Yan-jie Zhou, 2018, Journal of inequalities and applications.

A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations

Zhendong Luo, Yan-jie Zhou, 2018, Journal of inequalities and applications.

A POD-based reduced-order Crank-Nicolson finite volume element extrapolating algorithm for 2D Sobolev equations

Zhendong Luo, Jing Chen, Fei Teng, 2018, Math. Comput. Simul..

Stabilized finite volume element method for the 2D nonlinear incompressible viscoelastic flow equation

Zhendong Luo, H. Xia, 2017 .

A natural boundary element method for the Sobolev equation in the 2D unbounded domain

Zhendong Luo, Fei Teng, Jing Yang, 2017 .

An optimized finite element extrapolating method for 2D viscoelastic wave equation

Zhendong Luo, H. Xia, 2017, Journal of inequalities and applications.

Stabilized mixed finite element model for the 2D nonlinear incompressible viscoelastic fluid system

Zhendong Luo, Junqiang Gao, 2017 .

An optimized SPDMFE extrapolation approach based on the POD technique for 2D viscoelastic wave equation

Zhendong Luo, Fei Teng, 2017 .

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

Zhendong Luo, 2016 .

A new space–time continuous Galerkin method with mesh modification for Sobolev equations☆

Zhihui Zhao, Zhendong Luo, Hong Li, 2016 .

A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations

Zhendong Luo, 2016 .

A space-time continuous finite element method for 2D viscoelastic wave equation

Zhendong Luo, Hong Li, Zhihui Zhao, 2016 .

A Stabilized Crank–Nicolson Mixed Finite Volume Element Formulation for the Non-stationary Incompressible Boussinesq Equations

Zhen Dong Luo, Zhendong Luo, 2016, J. Sci. Comput..

A POD-based reduced-order TSCFE extrapolation iterative format for two-dimensional heat equations

Zhendong Luo, 2015 .

A reduced-order extrapolation algorithm based on CNLSMFE formulation and POD technique for two-dimensional Sobolev equations

Zhendong Luo, Fei Teng, Qun Liu, 2014 .

A reduced‐order approach to four‐dimensional variational data assimilation using proper orthogonal decomposition

Ionel M. Navon, Yanhua Cao, Jiang Zhu, 2005 .

A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear Rosenau equation

Yanjie Zhou, Zhendong Luo, Yanan Zhang, 2021 .

A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation

Zhendong Luo, Wenrui Jiang, 2020 .

Reduced finite difference scheme and error estimates based on POD method for non-stationary Stokes equation

Zhendong Luo, Zhenghui Xie, Qiuli Ou, 2011 .

Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations

Zhendong Luo, Hong Li, Zhihui Zhao, 2017, Comput. Math. Appl..

A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier–Stokes equations☆

Ping Sun, Junqiang Gao, Zhendong Luo, 2013 .

A decouple conjugate gradient-Gauss-Newton iterative scheme for altimetry assimilation data problems

Jiang Zhu, Zhendong Luo, Yijie Wu, 2003 .

A reduced-order extrapolation algorithm based on SFVE method and POD technique for non-stationary Stokes equations

Zhendong Luo, Zhendong Luo, 2014, Appl. Math. Comput..

A reduced finite volume element formulation and numerical simulations based on POD for parabolic problems

Zhenghui Xie, Jing Chen, Zhendong Luo, 2011, J. Comput. Appl. Math..

A reduced‐order approach to four‐dimensional variational data assimilation using proper orthogonal decomposition (Int. J. Numer. Meth. Fluids 2007; 53(10):1571–1583)

Ionel Michael Navon, Yanhua Cao, Zhendong Luo, 2007 .

Elsevier Editorial System(tm) for Computer Methods in Applied Mechanics and Engineering Manuscript Draft Title: Proper Orthogonal Decomposition Approach and Error Estimation of Mixed Finite Element Methods for the Tropical Pacific Ocean Reduced Gravity Model Proper Orthogonal Decomposition Approach

Ionel M. Navon, Jiang Zhu, Zhendong Luo, 2022 .

A reduced‐order approach to four‐dimensional variational data assimilation using proper orthogonal decomposition

Ionel M. Navon, Yanhua Cao, Jiang Zhu, 2005 .

An optimizing reduced PLSMFE formulation for non‐stationary conduction–convection problems

Ionel M. Navon, Jiang Zhu, Zhendong Luo, 2008 .

A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction–convection problem

Zhendong Luo, Hong Li, P. Sun, 2013 .

Proper orthogonal decomposition approach and error estimation of mixed finite element methods for the tropical Pacific Ocean reduced gravity model

Ionel M. Navon, Zhendong Luo, Jiang Zhu, 2007 .

A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation

Hui Wang, Zhendong Luo, Zhendong Luo, 2020, Appl. Math. Lett..

A 3D OpenFOAM based finite volume solver for incompressible Oldroyd-B model with infinity relaxation time

Jing Tian, Yuncheng You, Mingchao Cai, 2019, Commun. Nonlinear Sci. Numer. Simul..

A Stable and Convergent Finite Difference Scheme for 2D Incompressible Nonlinear Viscoelastic Fluid Dynamics Problem

Yanhua Cao, Zhendong Luo, 2018 .

A Crank–Nicolson finite difference scheme for the Riesz space fractional-order parabolic-type sine-Gordon equation

Zhendong Luo, Yan-jie Zhou, 2018, Advances in Difference Equations.

A finite volume element formulation and error analysis for the non-stationary conduction–convection problem

Zhendong Luo, Hong Li, P. Sun, 2012 .

A parallel two-level finite element method for the Navier-Stokes equations

Zhendong Luo, Yueqiang Shang, 2010 .

Numerical simulation based on two-directional freeze and thaw algorithm for thermal diffusion model

Zhendong Luo, Zhenghui Xie, Jun Gao, 2016 .