Jie Shen

ORCID

Publication Activity (10 Years)

Years Active: 1994-2024
Publications (10 Years): 98

Top Venues

Publications

Fukeng Huang, Jie Shen
On a new class of BDF and IMEX schemes for parabolic type equations. CoRR (2024)
Xinyu Liu, Jie Shen, Nan Zheng
Efficient energy stable numerical schemes for Cahn-Hilliard equations with dynamical boundary conditions. J. Comput. Phys. 509 (2024)
Zhaohui Fu, Jie Shen, Jiang Yang
Higher-Order Energy-Decreasing Exponential Time Differencing Runge-Kutta methods for Gradient Flows. CoRR (2024)
Xiaoli Li, Nan Zheng, Jie Shen
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation. CoRR (2024)
Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. SIAM J. Sci. Comput. 46 (3) (2024)
Fukeng Huang, Jie Shen
On a New Class of BDF and IMEX Schemes for Parabolic Type Equations. SIAM J. Numer. Anal. 62 (4) (2024)
Ziqi Ma, Zhiping Mao, Jie Shen
Efficient and stable SAV-based methods for gradient flows arising from deep learning. J. Comput. Phys. 505 (2024)
Sheng Chen, Jie Shen
Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications. SIAM J. Numer. Anal. 61 (1) (2023)
Ziyao Yu, Qing Cheng, Jie Shen, Changyou Wang
A positivity preserving scheme for Poisson-Nernst-Planck Navier-Stokes equations and its error analysis. CoRR (2023)
Fukeng Huang, Jie Shen
Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. 61 (5) (2023)
Xiaoli Li, Jie Shen
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. CoRR (2023)
Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. CoRR (2023)
Yiqi Gu, Jie Shen
A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains. J. Sci. Comput. 94 (3) (2023)
Xiangyu Bai, Jiebao Sun, Jie Shen, Wenjuan Yao, Zhichang Guo
Model and Its SAV Algorithm for Image Inpainting. J. Sci. Comput. 96 (2) (2023)
Qing Cheng, Jie Shen
Length Preserving Numerical Schemes for Landau-Lifshitz Equation Based on Lagrange Multiplier Approaches. SIAM J. Sci. Comput. 45 (2) (2023)
Xinyu Liu, Jie Shen, Xiangxiong Zhang
An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations. SIAM J. Sci. Comput. 45 (5) (2023)
Xueling Huang, Jie Shen
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system. J. Comput. Phys. 480 (2023)
Yanrong Zhang, Jie Shen
A generalized SAV approach with relaxation for dissipative systems. J. Comput. Phys. 464 (2022)
Qing Cheng, Jie Shen
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving. SIAM J. Numer. Anal. 60 (3) (2022)
Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR (2022)
Ke Wu, Fukeng Huang, Jie Shen
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics. J. Comput. Phys. 458 (2022)
Yanrong Zhang, Jie Shen
A generalized SAV approach with relaxation for dissipative systems. CoRR (2022)
Xiaoli Li, Jie Shen, Zhengguang Liu
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. Math. Comput. 91 (333) (2022)
Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
Modeling and simulation of cell nuclear architecture reorganization process. J. Comput. Phys. 449 (2022)
Qing Cheng, Jie Shen
Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches. CoRR (2022)
Jingwei Hu, Xiaodong Huang, Jie Shen, Haizhao Yang
A Fast Petrov-Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions. SIAM J. Sci. Comput. 44 (3) (2022)
Fukeng Huang, Jie Shen, Ke Wu
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations. J. Comput. Phys. 460 (2022)
Xiaoli Li, Weilong Wang, Jie Shen
Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations. SIAM J. Numer. Anal. 60 (3) (2022)
Jie Shen, Jie Xu
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Numerische Mathematik 148 (3) (2021)
Yanrong Zhang, Jie Shen
Efficient Structure Preserving Schemes for the Klein-Gordon-Schrödinger Equations. J. Sci. Comput. 89 (2) (2021)
Yiqi Gu, Jie Shen
An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding. SIAM J. Sci. Comput. 43 (1) (2021)
Xiaoli Li, Weilong Wang, Jie Shen
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. CoRR (2021)
Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
Modeling and simulation of nuclear architecture reorganization process using a phase field approach. CoRR (2021)
Fukeng Huang, Jie Shen
Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier-Stokes Equations with Periodic Boundary Conditions. SIAM J. Numer. Anal. 59 (6) (2021)
Qing Cheng, Chun Liu, Jie Shen
Generalized SAV approaches for gradient systems. J. Comput. Appl. Math. 394 (2021)
Fukeng Huang, Jie Shen
Stability and error analysis of a class of high-order IMEX schemes for Navier-stokes equations with periodic boundary conditions. CoRR (2021)
Qing Cheng, Jie Shen
A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving. CoRR (2021)
Xavier Antoine, Jie Shen, Qinglin Tang
Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. 437 (2021)
Fukeng Huang, Jie Shen
Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis. CoRR (2021)
Changtao Sheng, Duo Cao, Jie Shen
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian. J. Sci. Comput. 88 (1) (2021)
Beichuan Deng, Jie Shen, Qingqu Zhuang
Second-Order SAV Schemes for the Nonlinear Schrödinger Equation and Their Error Analysis. J. Sci. Comput. 88 (3) (2021)
Qing Cheng, Jie Shen
A new Lagrange multiplier approach for constructing positivity preserving schemes. CoRR (2021)
Duo Cao, Jie Shen, Jie Xu
Computing interface with quasiperiodicity. J. Comput. Phys. 424 (2021)
Fukeng Huang, Jie Shen
Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller-Segel and Poisson-Nernst-Planck Equations. SIAM J. Sci. Comput. 43 (3) (2021)
Ting Cheng, Lina Ma, Jie Shen
An efficient numerical scheme for a 3D spherical dynamo equation. J. Comput. Appl. Math. 370 (2020)
Qing Cheng, Chun Liu, Jie Shen
. J. Comput. Phys. 419 (2020)
Sheng Chen, Jie Shen
An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation. J. Sci. Comput. 82 (1) (2020)
Sheng Chen, Jie Shen
Log orthogonal functions: approximation properties and applications. CoRR (2020)
Yiqi Gu, Jie Shen
Bound preserving and energy dissipative schemes for porous medium equation. J. Comput. Phys. 410 (2020)
Hongtao Chen, Jingjing Mao, Jie Shen
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Numerische Mathematik 145 (1) (2020)
Xiaoli Li, Jie Shen
Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation. CoRR (2020)
Xiaoli Li, Jie Shen
Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. 58 (5) (2020)
Yiqi Gu, Jie Shen
Accurate and Efficient Spectral Methods for Elliptic PDEs in Complex Domains. J. Sci. Comput. 83 (3) (2020)
Wenjuan Yao, Jie Shen, Zhichang Guo, Jiebao Sun, Boying Wu
A Total Fractional-Order Variation Model for Image Super-Resolution and Its SAV Algorithm. J. Sci. Comput. 82 (3) (2020)
Xiaoli Li, Jie Shen
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. CoRR (2020)
Xiaoli Li, Jie Shen, Zhengguang Liu
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. CoRR (2020)
Jie Shen, Jie Xu
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. CoRR (2020)
Jie Shen, Jie Xu
Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller-Segel Equations. SIAM J. Numer. Anal. 58 (3) (2020)
Qing Cheng, Jie Shen
Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows. SIAM J. Sci. Comput. 42 (4) (2020)
Xiaoli Li, Jie Shen
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Adv. Comput. Math. 46 (3) (2020)
Fukeng Huang, Jie Shen, Zhiguo Yang
A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows. SIAM J. Sci. Comput. 42 (4) (2020)
Hongtao Chen, Jingjing Mao, Jie Shen
Error estimate of Gauge-Uzawa methods for incompressible flows with variable density. J. Comput. Appl. Math. 364 (2020)
Sheng Chen, Jie Shen, Zhimin Zhang, Zhi Zhou
A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions. SIAM J. Sci. Comput. 42 (2) (2020)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. 58 (5) (2020)
Jiaxiang Cai, Jie Shen
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Phys. 401 (2020)
Qing Cheng, Jie Shen
Global constraints preserving SAV schemes for gradient flows. CoRR (2019)
Jie Shen, Jie Xu, Jiang Yang
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows. SIAM Rev. 61 (3) (2019)
Qingqu Zhuang, Jie Shen
Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein Condensates. J. Comput. Phys. 396 (2019)
Qing Cheng, Chun Liu, Jie Shen
A new Lagrange Multiplier approach for gradient flows. CoRR (2019)
Feng Chen, Jie Shen
Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. Adv. Comput. Math. 45 (5) (2019)
Jie Shen, Yingwei Wang, Jianlin Xia
Fast structured Jacobi-Jacobi transforms. Math. Comput. 88 (318) (2019)
Xiaoli Li, Jie Shen, Hongxing Rui
Energy stability and convergence of SAV block-centered finite difference method for gradient flows. Math. Comput. 88 (319) (2019)
Ting Cheng, Lina Ma, Jie Shen
An efficient numerical scheme for a 3D spherical dynamo equation. CoRR (2019)
Qing Cheng, Jie Shen, Xiaofeng Yang
Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach. J. Sci. Comput. 78 (3) (2019)
Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR (2019)
Xiaoli Li, Jie Shen
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. CoRR (2019)
Jie Shen, Chang-Tao Sheng
An Efficient Space-Time Method for Time Fractional Diffusion Equation. J. Sci. Comput. 81 (2) (2019)
Jie Shen, Jie Xu, Pingwen Zhang
Approximations on SO(3) by Wigner D-matrix and Applications. J. Sci. Comput. 74 (3) (2018)
Jie Shen, Jie Xu, Jiang Yang
The scalar auxiliary variable (SAV) approach for gradient flows. J. Comput. Phys. 353 (2018)
Sheng Chen, Jie Shen, Li-Lian Wang
Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals. J. Sci. Comput. 74 (3) (2018)
Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. J. Comput. Phys. 365 (2018)
Jie Shen, Jie Xu
Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows. SIAM J. Numer. Anal. 56 (5) (2018)
Sheng Chen, Jie Shen
Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions. J. Sci. Comput. 77 (3) (2018)
Yongyong Cai, Jie Shen
Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Math. Comput. 87 (313) (2018)
Qing Cheng, Jie Shen
Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model. SIAM J. Sci. Comput. 40 (6) (2018)
Zhiping Mao, Jie Shen
Spectral element method with geometric mesh for two-sided fractional differential equations. Adv. Comput. Math. 44 (3) (2018)
Zhiping Mao, Jie Shen
Hermite Spectral Methods for Fractional PDEs in Unbounded Domains. SIAM J. Sci. Comput. 39 (5) (2017)
H. Alici, Jie Shen
Highly Accurate Pseudospectral Approximations of the Prolate Spheroidal Wave Equation for Any Bandwidth Parameter and Zonal Wavenumber. J. Sci. Comput. 71 (2) (2017)
Yongyong Cai, Heejun Choi, Jie Shen
Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Numerische Mathematik 137 (2) (2017)
Jilian Wu, Jie Shen, Xinlong Feng
Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. J. Comput. Phys. 348 (2017)
Qing Cheng, Xiaofeng Yang, Jie Shen
Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. J. Comput. Phys. 341 (2017)
Ying Chen, Jie Shen
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. J. Comput. Phys. 308 (2016)
Zhiping Mao, Jie Shen
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. J. Comput. Phys. 307 (2016)
Jia Zhao, Xiaofeng Yang, Jie Shen, Qi Wang
A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. J. Comput. Phys. 305 (2016)
Sheng Chen, Jie Shen, Li-Lian Wang
Generalized Jacobi functions and their applications to fractional differential equations. Math. Comput. 85 (300) (2016)
Lina Hu, Lina Ma, Jie Shen
Efficient Spectral-Galerkin Method and Analysis for Elliptic PDEs with Non-local Boundary Conditions. J. Sci. Comput. 68 (2) (2016)
Jie Shen, Yingwei Wang
Müntz-Galerkin Methods and Applications to Mixed Dirichlet-Neumann Boundary Value Problems. SIAM J. Sci. Comput. 38 (4) (2016)
Jie Shen, Yingwei Wang, Jianlin Xia
Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case. SIAM J. Sci. Comput. 38 (1) (2016)
Henk Dijkstra, Taylan Sengul, Jie Shen, Shouhong Wang
Dynamic Transitions of Quasi-geostrophic Channel Flow. SIAM J. Appl. Math. 75 (5) (2015)
Jie Shen, Xiaofeng Yang
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows. SIAM J. Numer. Anal. 53 (1) (2015)

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Publication Activity (10 Years)

Top Topics

Top Venues

Jie Shen