Jie Shen

发表

Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models

Ying Chen, Jie Shen, Jie Shen, 2016, J. Comput. Phys..

Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs

Jie Shen, Jiaxiang Cai, Jie Shen, 2020, J. Comput. Phys..

Automatic Measurement of Visual Attention to Video Content using Deep Learning

Maja Pantic, Attila Schulc, Jeffrey F. Cohn, 2019, 2019 16th International Conference on Machine Vision Applications (MVA).

New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis pdf

Xiaoli Li, Zhengguang Liu, Jie Shen, 2020, Math. Comput..

Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller-Segel Equations

Jie Shen, Jie Xu, Jie Shen, 2020, SIAM J. Numer. Anal..

An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation

Jie Shen, Sheng Chen, Jie Shen, 2020, Journal of Scientific Computing.

Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows

Jie Shen, Hongtao Chen, Jingjing Mao, 2020, Numerische Mathematik.

Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation pdf

Jie Shen, Xiaoli Li, 2020, ArXiv.

A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations

Xiangxiong Zhang, Jie Shen, Yongping Cheng, 2021, J. Comput. Phys..

Bound preserving and energy dissipative schemes for porous medium equation

Yiqi Gu, Jie Shen, Jie Shen, 2020, J. Comput. Phys..

A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

Zhiguo Yang, Jie Shen, Fukeng Huang, 2020, SIAM J. Sci. Comput..

Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations pdf

Jie Xu, Jie Shen, 2020, ArXiv.

Stability and convergence analysis of rotational velocity correction methods for the Navier–Stokes equations

Jie Shen, Feng Chen, Jie Shen, 2019, Advances in Computational Mathematics.

An Efficient Space–Time Method for Time Fractional Diffusion Equation

Jie Shen, Changtao Sheng, Changtao Sheng, 2019, Journal of Scientific Computing.

The scalar auxiliary variable (SAV) approach for gradient flows

Jiang Yang, Jie Shen, Jie Xu, 2018, J. Comput. Phys..

Error estimate of Gauge-Uzawa methods for incompressible flows with variable density

Jie Shen, Jingjing Mao, Hongtao Chen, 2020, J. Comput. Appl. Math..

Hydraulics Characteristics of the Close Gap in Large-Scale Beach Reclamation Works in Radial Sandbanks

Ke Feng Chen, Jie Shen, 2012 .

Modeling and simulation of cell nuclear architecture reorganization process

Qing Cheng, Jie Shen, Chun Liu, 2021, J. Comput. Phys..

An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding

Yiqi Gu, Jie Shen, Jie Shen, 2021, SIAM J. Sci. Comput..

Strong convergence rates of a fully discrete scheme for nonlinear stochastic partial differential equations with non-globally Lipschitz coefficients driven by multiplicative noise pdf

Jie Shen, Can Huang, Jie Shen, 2021, ArXiv.

Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations pdf

Jie Shen, Xiaoli Li, Weilong Wang, 2021, SIAM J. Numer. Anal..

Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis pdf

Jie Shen, Fukeng Huang, Jie Shen, 2021, Computer Methods in Applied Mechanics and Engineering.

A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions pdf

Haizhao Yang, Jingwei Hu, Jie Shen, 2021, SIAM J. Sci. Comput..

Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation pdf

Jie Shen, Xiangxiong Zhang, 2021, ArXiv.

Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian

Jie Shen, Changtao Sheng, Duo Cao, 2021, Journal of Scientific Computing.

A new Lagrange multiplier approach for constructing positivity preserving schemes pdf

Qing Cheng, Jie Shen, 2021, ArXiv.

Modeling and simulation of nuclear architecture reorganization process using a phase field approach pdf

Jie Liang, Qing Cheng, Jie Shen, 2021, ArXiv.

Stability and error analysis of a class of high-order IMEX schemes for Navier-stokes equations with periodic boundary conditions pdf

Jie Shen, Fukeng Huang, Jie Shen, 2021, SIAM Journal on Numerical Analysis.

Generalized SAV approaches for gradient systems

Qing Cheng, Jie Shen, Chun Liu, 2021, J. Comput. Appl. Math..

A new Lagrange multiplier approach for constructing structure preserving schemes, I. Positivity preserving

Qing Cheng, Jie Shen, Jie Shen, 2021, Computer Methods in Applied Mechanics and Engineering.

A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving pdf

Qing Cheng, Jie Shen, Jie Shen, 2021, SIAM J. Numer. Anal..

Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller-Segel and Poisson-Nernst-Planck Equations

Jie Shen, Fukeng Huang, Jie Shen, 2021, SIAM J. Sci. Comput..

E-cient Chebyshev-Legendre Galerkin Methods for Elliptic Problems

Jie Shen, Jie Shen, 1996 .

Viscoelastic effects on drop deformation in steady shear

Jie Shen, James J. Feng, Chun Liu, 2005, Journal of Fluid Mechanics.

Efcient Energy Stable Schemes with Spectral Discretization in Space for Anisotropic Cahn-Hilliard Systems

Feng Chen, Jie Shen, 2020 .

Mass-Conserved Phase Field Models for Binary Fluids

Xiaofeng Yang, Jie Shen, Qi Wang, 2011 .

Instability and mode interactions in a differentially driven rotating cylinder

J. E. Hart, Jie Shen, Juan Lopez, 2001, Journal of Fluid Mechanics.

Variational Approach in Two-Phase Flows of Complex Fluids: Transport and Induced Elastic Stress

Jie Shen, James J. Feng, Pengtao Yue, 2004 .

Dynamics of Defect Motion in Nematic Liquid Crystal Flow: Modeling and Numerical Simulation

Xiaofeng Yang, Jie Shen, Chun Liu, 2007 .

Regular Article: On a Wind-Driven, Double-Gyre, Quasi-Geostrophic Ocean Model: Numerical Simulations and Structural Analysis

Jie Shen, T. Tachim Medjo, Jie Shen, 1999 .

A spectral-Tau approximation for the Stokes and Navier-Stokes equations

Jie Shen, Jie Shen, 1988 .

An Efficient Spectral-Projection Method for the Navier-Stokes Equations in Cylindrical Geometries

Jie Shen, Juan Lopez, Francisco Marques, 2002 .

Mass and Volume Conservation in Phase Field Models for Binary Fluids

Xiaofeng Yang, Jie Shen, Qi Wang, 2013 .

An Energetic Variational Formulation with Phase Field Methods for Interfacial Dynamics of Complex Fluids: Advantages and Challenges

Jie Shen, James J. Feng, Chun Liu, 2005 .

PSEUDO-COMPRESSIBILITY METHODS FOR THE UNSTEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

Jie Shen, Jie Shen, 2007 .

On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval

Jie Shen, Olivier Goubet, Jie Shen, 2007, Advances in Differential Equations.

A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method

Jie Shen, Chun Liu, Jie Shen, 2003 .

Error estimates for finite element approximations of consistent splitting schemes for incompressible flows

Xiaofeng Yang, Jie Shen, Xiaofeng Yang, 2007 .

Transient drop deformation upon startup of shear in viscoelastic fluids

Jie Shen, James J. Feng, Pengtao Yue, 2005 .

Efficient and accurate spectral method using generalized Jacobi functions for solving Riesz fractional differential equations

Jie Shen, Zhiping Mao, Sheng Chen, 2016 .

On error estimates of the penalty method for unsteady Navier-Stokes equations

Jie Shen, Jie Shen, 1995 .

Pressure boundary condition for the time‐dependent incompressible Navier–Stokes equations

Olivier Pironneau, R. L. Sani, Jie Shen, 2006 .

Heart-shaped bubbles rising in anisotropic liquids

Chunfeng Zhou, Jie Shen, James J. Feng, 2007 .

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

Xiaofeng Yang, Jie Shen, Jia Zhao, 2017 .

On liquid crystal flows with free-slip boundary conditions

Jie Shen, Chun Liu, Jie Shen, 2001 .

Accurate solution and approximations of the linearized BGK equation for steady Couette flow

Li-Shi Luo, Jie Shen, L. Luo, 2015 .

Hopf bifurcation of the unsteady regularized driven cavity flow

Jie Shen, Jie Shen, 1991 .

Energy stable schemes for Cahn-Hilliard phase-field model of two-phase incompressible flows

Xiaofeng Yang, Jie Shen, Xiaofeng Yang, 2010 .

Interfacial forces and Marangoni flow on a nematic drop retracting in an isotropic fluid.

Jie Shen, James J. Feng, Chun Liu, 2005, Journal of colloid and interface science.

Regular Article: On a Wind-Driven, Double-Gyre, Quasi-Geostrophic Ocean Model: Numerical Simulations and Structural Analysis

Jie Shen, T. Tachim Medjo, Jie Shen, 1999 .

Morphological evolution during phase separation and coarsening with strong inhomogeneous elasticity

Jie Shen, Long-Qing Chen, Jie Shen, 2001 .

A periodically forced flow displaying symmetry breaking via a three-tori tori gluing birurcation and two-tori resonances

Jie Shen, Juan Lopez, Francisco Marques, 2001 .