Jie Shen - RankMe

190 papers Journal 190

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	Adaptive time-stepping and maximum-principle preserving Lagrangian schemes for gradient flows. J. Comput. Phys. Qianqian Liu, Wenbin Chen, Jie Shen, Qing Cheng
2026	J	`jnl`	An Efficient Spectral Method for Elliptic Interface Problems in Two-Dimensional Complex Domains. J. Sci. Comput. Jing An, Jie Shen, Wei Wang
2026	J	`jnl`	An Efficient Spectral Method for Fourth-Order PDEs in Complex Geometries. J. Sci. Comput. Jie Shen, Xian Wen
2026	J	`jnl`	Deep Collocation Method: A Framework for Solving PDEs Using Neural Networks with Error Control. SIAM J. Sci. Comput. Mingxing Weng, Zhiping Mao, Jie Shen
2026	J	`jnl`	On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation. J. Comput. Phys. Xiaoli Li, Jie Shen, Nan Zheng
2026	J	`jnl`	Stability and convergence of a variable step generalized BDF2 scheme. J. Comput. Appl. Math. Jie Shen, Jiwei Zhang, Chengchao Zhao
2026	J	`jnl`	The original energy dissipation law of the R-SAV approach for gradient flows. Appl. Math. Lett. Jie Shen, Chengchao Zhao
2025	J	`jnl`	A Decoupled Structure Preserving Scheme for the Poisson-Nernst-Planck Navier-Stokes Equations and its Error Analysis. J. Sci. Comput. Ziyao Yu, Jie Shen, Changyou Wang, Qing Cheng
2025	J	`jnl`	A Relaxed Vector Auxiliary Variable Algorithm for Unconstrained Optimization Problems. SIAM J. Sci. Comput. Shiheng Zhang, Jiahao Zhang, Jie Shen, Guang Lin
2025	J	`jnl`	A new flow dynamic approach for Wasserstein gradient flows. J. Comput. Phys. Qing Cheng, Qianqian Liu, Wenbin Chen, Jie Shen
2025	J	`jnl`	Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model. CoRR Xueling Huang, Olivier Goubet, Jie Shen
2025	J	`jnl`	On a Class of Higher-Order Fully Decoupled Schemes for the Cahn-Hilliard-Navier-Stokes System. J. Sci. Comput. Xiaoli Li, Zhengguang Liu, Jie Shen, Nan Zheng
2025	J	`jnl`	Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations. CoRR Fukeng Huang, Jie Shen
2025	J	`jnl`	Stability and error analysis of linear IMEX schemes for sixth-order Cahn-Hilliard-type equations. Commun. Nonlinear Sci. Numer. Simul. Nan Zheng, Jie Shen
2024	J	`jnl`	A Simple and Efficient Convex Optimization Based Bound-Preserving High Order Accurate Limiter for Cahn-Hilliard-Navier-Stokes System. SIAM J. Sci. Comput. Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
2024	J	`jnl`	A new flow dynamic approach for Wasserstein gradient flows. CoRR Qing Cheng, Qianqian Liu, Wenbin Chen, Jie Shen
2024	J	`jnl`	Efficient and stable SAV-based methods for gradient flows arising from deep learning. J. Comput. Phys. Ziqi Ma, Zhiping Mao, Jie Shen
2024	J	`jnl`	Efficient energy stable numerical schemes for Cahn-Hilliard equations with dynamical boundary conditions. J. Comput. Phys. Xinyu Liu, Jie Shen, Nan Zheng
2024	J	`jnl`	Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems. Adv. Comput. Math. Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2024	J	`jnl`	Energy-dissipative evolutionary deep operator neural networks. J. Comput. Phys. Jiahao Zhang, Shiheng Zhang, Jie Shen, Guang Lin
2024	J	`jnl`	Higher-Order Energy-Decreasing Exponential Time Differencing Runge-Kutta methods for Gradient Flows. CoRR Zhaohui Fu, Jie Shen, Jiang Yang
2024	J	`jnl`	On a New Class of BDF and IMEX Schemes for Parabolic Type Equations. SIAM J. Numer. Anal. Fukeng Huang, Jie Shen
2024	J	`jnl`	On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation. CoRR Xiaoli Li, Nan Zheng, Jie Shen
2024	J	`jnl`	On a new class of BDF and IMEX schemes for parabolic type equations. CoRR Fukeng Huang, Jie Shen
2023	J	`jnl`	A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains. J. Sci. Comput. Yiqi Gu, Jie Shen
2023	J	`jnl`	A Ginzburg-Landau-H J. Sci. Comput. Xiangyu Bai, Jiebao Sun, Jie Shen, Wenjuan Yao, Zhichang Guo
2023	J	`jnl`	A positivity preserving scheme for Poisson-Nernst-Planck Navier-Stokes equations and its error analysis. CoRR Ziyao Yu, Qing Cheng, Jie Shen, Changyou Wang
2023	J	`jnl`	A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes. CoRR Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. CoRR Chen Liu, Beatrice Riviere, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	An Efficient and Robust Scalar Auxialiary Variable Based Algorithm for Discrete Gradient Systems Arising from Optimizations. SIAM J. Sci. Comput. Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	An Element-wise RSAV Algorithm for Unconstrained Optimization Problems. CoRR Shiheng Zhang, Jiahao Zhang, Jie Shen, Guang Lin
2023	J	`jnl`	An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations. CoRR Xinyu Liu, Jie Shen, Xiangxiong Zhang
2023	J	`jnl`	Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system. J. Comput. Phys. Xueling Huang, Jie Shen
2023	J	`jnl`	Energy-Dissipative Evolutionary Deep Operator Neural Networks. CoRR Jiahao Zhang, Shiheng Zhang, Jie Shen, Guang Lin
2023	J	`jnl`	Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations. J. Comput. Appl. Math. Xiaoli Li, Jie Shen
2023	J	`jnl`	Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. CoRR Xiaoli Li, Jie Shen
2023	J	`jnl`	Global error estimates of high-order fully decoupled schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. CoRR Xiaoli Li, Nan Zheng, Jie Shen, Zhengguang Liu
2023	J	`jnl`	Length Preserving Numerical Schemes for Landau-Lifshitz Equation Based on Lagrange Multiplier Approaches. SIAM J. Sci. Comput. Qing Cheng, Jie Shen
2023	J	`jnl`	Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications. SIAM J. Numer. Anal. Sheng Chen, Jie Shen
2023	J	`jnl`	Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. Fukeng Huang, Jie Shen
2022	J	`jnl`	A Fast Petrov-Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions. SIAM J. Sci. Comput. Jingwei Hu, Xiaodong Huang, Jie Shen, Haizhao Yang
2022	J	`jnl`	A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving. SIAM J. Numer. Anal. Qing Cheng, Jie Shen
2022	J	`jnl`	A generalized SAV approach with relaxation for dissipative systems. CoRR Yanrong Zhang, Jie Shen
2022	J	`jnl`	A generalized SAV approach with relaxation for dissipative systems. J. Comput. Phys. Yanrong Zhang, Jie Shen
2022	J	`jnl`	A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics. J. Comput. Phys. Ke Wu, Fukeng Huang, Jie Shen
2022	J	`jnl`	Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations. J. Comput. Phys. Fukeng Huang, Jie Shen, Ke Wu
2022	J	`jnl`	Eigenvalue Analysis and Applications of the Legendre Dual-Petrov-Galerkin Methods for Initial Value Problems. CoRR Desong Kong, Jie Shen, Li-Lian Wang, Shuhuang Xiang
2022	J	`jnl`	Error estimates and blow-up analysis of a finite-element approximation for the parabolic-elliptic Keller-Segel system. CoRR Wenbin Chen, Qianqian Liu, Jie Shen
2022	J	`jnl`	Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches. CoRR Qing Cheng, Jie Shen
2022	J	`jnl`	Modeling and simulation of cell nuclear architecture reorganization process. J. Comput. Phys. Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
2022	J	`jnl`	New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. Math. Comput. Xiaoli Li, Jie Shen, Zhengguang Liu
2022	J	`jnl`	Stability and Error Analysis of IMEX SAV Schemes for the Magneto-Hydrodynamic Equations. SIAM J. Numer. Anal. Xiaoli Li, Weilong Wang, Jie Shen
2021	J	`jnl`	A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. J. Comput. Phys. Maojun Li, Yongping Cheng, Jie Shen, Xiangxiong Zhang
2021	J	`jnl`	A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions. CoRR Jingwei Hu, Xiaodong Huang, Jie Shen, Haizhao Yang
2021	J	`jnl`	A new Lagrange multiplier approach for constructing positivity preserving schemes. CoRR Qing Cheng, Jie Shen
2021	J	`jnl`	A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving. CoRR Qing Cheng, Jie Shen
2021	J	`jnl`	An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding. SIAM J. Sci. Comput. Yiqi Gu, Jie Shen
2021	J	`jnl`	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. Fukeng Huang, Jie Shen
2021	J	`jnl`	Computing interface with quasiperiodicity. J. Comput. Phys. Duo Cao, Jie Shen, Jie Xu
2021	J	`jnl`	Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. CoRR Jie Shen, Xiangxiong Zhang
2021	J	`jnl`	Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian. J. Sci. Comput. Changtao Sheng, Duo Cao, Jie Shen
2021	J	`jnl`	Efficient Structure Preserving Schemes for the Klein-Gordon-Schrödinger Equations. J. Sci. Comput. Yanrong Zhang, Jie Shen
2021	J	`jnl`	Generalized SAV approaches for gradient systems. J. Comput. Appl. Math. Qing Cheng, Chun Liu, Jie Shen
2021	J	`jnl`	Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis. CoRR Fukeng Huang, Jie Shen
2021	J	`jnl`	Modeling and simulation of nuclear architecture reorganization process using a phase field approach. CoRR Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen
2021	J	`jnl`	Scalar Auxiliary Variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. J. Comput. Phys. Xavier Antoine, Jie Shen, Qinglin Tang
2021	J	`jnl`	Second-Order SAV Schemes for the Nonlinear Schrödinger Equation and Their Error Analysis. J. Sci. Comput. Beichuan Deng, Jie Shen, Qingqu Zhuang
2021	J	`jnl`	Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier-Stokes Equations with Periodic Boundary Conditions. SIAM J. Numer. Anal. Fukeng Huang, Jie Shen
2021	J	`jnl`	Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. CoRR Xiaoli Li, Weilong Wang, Jie Shen
2021	J	`jnl`	Stability and error analysis of a class of high-order IMEX schemes for Navier-stokes equations with periodic boundary conditions. CoRR Fukeng Huang, Jie Shen
2021	J	`jnl`	Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Numerische Mathematik Jie Shen, Jie Xu
2020	J	`jnl`	A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows. SIAM J. Sci. Comput. Fukeng Huang, Jie Shen, Zhiguo Yang
2020	J	`jnl`	A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions. SIAM J. Sci. Comput. Sheng Chen, Jie Shen, Zhimin Zhang, Zhi Zhou
2020	J	`jnl`	A Total Fractional-Order Variation Model for Image Super-Resolution and Its SAV Algorithm. J. Sci. Comput. Wenjuan Yao, Jie Shen, Zhichang Guo, Jiebao Sun, Boying Wu
2020	J	`jnl`	A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case J. Comput. Phys. Qing Cheng, Chun Liu, Jie Shen
2020	J	`jnl`	Accurate and Efficient Spectral Methods for Elliptic PDEs in Complex Domains. J. Sci. Comput. Yiqi Gu, Jie Shen
2020	J	`jnl`	An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation. J. Sci. Comput. Sheng Chen, Jie Shen
2020	J	`jnl`	An efficient numerical scheme for a 3D spherical dynamo equation. J. Comput. Appl. Math. Ting Cheng, Lina Ma, Jie Shen
2020	J	`jnl`	Bound preserving and energy dissipative schemes for porous medium equation. J. Comput. Phys. Yiqi Gu, Jie Shen
2020	J	`jnl`	Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation. CoRR Xiaoli Li, Jie Shen
2020	J	`jnl`	Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. Xiaoli Li, Jie Shen
2020	J	`jnl`	Error estimate of Gauge-Uzawa methods for incompressible flows with variable density. J. Comput. Appl. Math. Hongtao Chen, Jingjing Mao, Jie Shen
2020	J	`jnl`	Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. SIAM J. Numer. Anal. Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2020	J	`jnl`	Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows. SIAM J. Sci. Comput. Qing Cheng, Jie Shen
2020	J	`jnl`	Log orthogonal functions: approximation properties and applications. CoRR Sheng Chen, Jie Shen
2020	J	`jnl`	New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. CoRR Xiaoli Li, Jie Shen, Zhengguang Liu
2020	J	`jnl`	On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. CoRR Xiaoli Li, Jie Shen
2020	J	`jnl`	Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Numerische Mathematik Hongtao Chen, Jingjing Mao, Jie Shen
2020	J	`jnl`	Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation. Adv. Comput. Math. Xiaoli Li, Jie Shen
2020	J	`jnl`	Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Phys. Jiaxiang Cai, Jie Shen
2020	J	`jnl`	Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller-Segel Equations. SIAM J. Numer. Anal. Jie Shen, Jie Xu
2020	J	`jnl`	Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. CoRR Jie Shen, Jie Xu
2019	J	`jnl`	A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows. SIAM Rev. Jie Shen, Jie Xu, Jiang Yang
2019	J	`jnl`	A new Lagrange Multiplier approach for gradient flows. CoRR Qing Cheng, Chun Liu, Jie Shen
2019	J	`jnl`	An Efficient Space-Time Method for Time Fractional Diffusion Equation. J. Sci. Comput. Jie Shen, Chang-Tao Sheng
2019	J	`jnl`	An efficient numerical scheme for a 3D spherical dynamo equation. CoRR Ting Cheng, Lina Ma, Jie Shen
2019	J	`jnl`	Efficient SAV approach for imaginary time gradient flows with applications to one- and multi-component Bose-Einstein Condensates. J. Comput. Phys. Qingqu Zhuang, Jie Shen
2019	J	`jnl`	Energy stability and convergence of SAV block-centered finite difference method for gradient flows. Math. Comput. Xiaoli Li, Jie Shen, Hongxing Rui
2019	J	`jnl`	Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. CoRR Xiaoli Li, Jie Shen
2019	J	`jnl`	Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains. CoRR Changtao Sheng, Jie Shen, Tao Tang, Li-Lian Wang, Huifang Yuan
2019	J	`jnl`	Fast structured Jacobi-Jacobi transforms. Math. Comput. Jie Shen, Yingwei Wang, Jianlin Xia
2019	J	`jnl`	Global constraints preserving SAV schemes for gradient flows. CoRR Qing Cheng, Jie Shen
2019	J	`jnl`	Highly Efficient and Accurate Numerical Schemes for the Epitaxial Thin Film Growth Models by Using the SAV Approach. J. Sci. Comput. Qing Cheng, Jie Shen, Xiaofeng Yang
2019	J	`jnl`	Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. Adv. Comput. Math. Feng Chen, Jie Shen
2018	J	`jnl`	Approximations on SO(3) by Wigner D-matrix and Applications. J. Sci. Comput. Jie Shen, Jie Xu, Pingwen Zhang
2018	J	`jnl`	Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows. SIAM J. Numer. Anal. Jie Shen, Jie Xu
2018	J	`jnl`	Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. J. Comput. Phys. Ying Chen, John S. Lowengrub, Jie Shen, Cheng Wang, Steven M. Wise
2018	J	`jnl`	Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions. J. Sci. Comput. Sheng Chen, Jie Shen
2018	J	`jnl`	Error estimates for a fully discretized scheme to a Cahn-Hilliard phase-field model for two-phase incompressible flows. Math. Comput. Yongyong Cai, Jie Shen
2018	J	`jnl`	Laguerre Functions and Their Applications to Tempered Fractional Differential Equations on Infinite Intervals. J. Sci. Comput. Sheng Chen, Jie Shen, Li-Lian Wang
2018	J	`jnl`	Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model. SIAM J. Sci. Comput. Qing Cheng, Jie Shen
2018	J	`jnl`	Spectral element method with geometric mesh for two-sided fractional differential equations. Adv. Comput. Math. Zhiping Mao, Jie Shen
2018	J	`jnl`	The scalar auxiliary variable (SAV) approach for gradient flows. J. Comput. Phys. Jie Shen, Jie Xu, Jiang Yang
2017	J	`jnl`	Efficient and accurate numerical schemes for a hydro-dynamically coupled phase field diblock copolymer model. J. Comput. Phys. Qing Cheng, Xiaofeng Yang, Jie Shen
2017	J	`jnl`	Error estimates for time discretizations of Cahn-Hilliard and Allen-Cahn phase-field models for two-phase incompressible flows. Numerische Mathematik Yongyong Cai, Heejun Choi, Jie Shen
2017	J	`jnl`	Hermite Spectral Methods for Fractional PDEs in Unbounded Domains. SIAM J. Sci. Comput. Zhiping Mao, Jie Shen
2017	J	`jnl`	Highly Accurate Pseudospectral Approximations of the Prolate Spheroidal Wave Equation for Any Bandwidth Parameter and Zonal Wavenumber. J. Sci. Comput. H. Alici, Jie Shen
2017	J	`jnl`	Unconditionally stable Gauge-Uzawa finite element schemes for incompressible natural convection problems with variable density. J. Comput. Phys. Jilian Wu, Jie Shen, Xinlong Feng
2016	J	`jnl`	A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids. J. Comput. Phys. Jia Zhao, Xiaofeng Yang, Jie Shen, Qi Wang
2016	J	`jnl`	Efficient Spectral-Galerkin Method and Analysis for Elliptic PDEs with Non-local Boundary Conditions. J. Sci. Comput. Lina Hu, Lina Ma, Jie Shen
2016	J	`jnl`	Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. J. Comput. Phys. Zhiping Mao, Jie Shen
2016	J	`jnl`	Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. J. Comput. Phys. Ying Chen, Jie Shen
2016	J	`jnl`	Fast Structured Direct Spectral Methods for Differential Equations with Variable Coefficients, I. The One-Dimensional Case. SIAM J. Sci. Comput. Jie Shen, Yingwei Wang, Jianlin Xia
2016	J	`jnl`	Generalized Jacobi functions and their applications to fractional differential equations. Math. Comput. Sheng Chen, Jie Shen, Li-Lian Wang
2016	J	`jnl`	Müntz-Galerkin Methods and Applications to Mixed Dirichlet-Neumann Boundary Value Problems. SIAM J. Sci. Comput. Jie Shen, Yingwei Wang
2015	J	`jnl`	A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. J. Comput. Phys. Suchuan Dong, Jie Shen
2015	J	`jnl`	Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density. J. Sci. Comput. Chun Liu, Jie Shen, Xiaofeng Yang
2015	J	`jnl`	Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows. SIAM J. Numer. Anal. Jie Shen, Xiaofeng Yang
2015	J	`jnl`	Dynamic Transitions of Quasi-geostrophic Channel Flow. SIAM J. Appl. Math. Henk Dijkstra, Taylan Sengul, Jie Shen, Shouhong Wang
2015	J	`jnl`	Efficient energy stable numerical schemes for a phase field moving contact line model. J. Comput. Phys. Jie Shen, Xiaofeng Yang, Haijun Yu
2015	J	`jnl`	Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem. Comput. Math. Appl. Jing An, Jie Shen
2014	J	`jnl`	A new spectral method for numerical solution of the unbounded rough surface scattering problem. J. Comput. Phys. Ying He, Peijun Li, Jie Shen
2014	J	`jnl`	Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. J. Comput. Appl. Math. Jie Shen, Li-Lian Wang, Haijun Yu
2014	J	`jnl`	Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids. SIAM J. Sci. Comput. Jie Shen, Xiaofeng Yang
2013	J	`jnl`	A GPU parallelized spectral method for elliptic equations in rectangular domains. J. Comput. Phys. Feng Chen, Jie Shen
2013	J	`jnl`	A Spectral-Element Method for Transmission Eigenvalue Problems. J. Sci. Comput. Jing An, Jie Shen
2013	J	`jnl`	Error Analysis of the Strang Time-Splitting Laguerre-Hermite/Hermite Collocation Methods for the Gross-Pitaevskii Equation. Found. Comput. Math. Jie Shen, Zhong-Qing Wang
2013	J	`jnl`	Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. J. Comput. Phys. Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, Falai Chen
2012	J	`jnl`	A New Spectral Element Method for Pricing European Options Under the Black-Scholes and Merton Jump Diffusion Models. J. Sci. Comput. Feng Chen, Jie Shen, Haijun Yu
2012	J	`jnl`	A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. J. Comput. Phys. Suchuan Dong, Jie Shen
2012	J	`jnl`	An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure. J. Comput. Phys. Ying He, David P. Nicholls, Jie Shen
2012	J	`jnl`	Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains. SIAM J. Sci. Comput. Jie Shen, Haijun Yu
2012	J	`jnl`	Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications. J. Comput. Phys. Feng Chen, Jie Shen
2012	J	`jnl`	On the Approximation of the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model I: A New Weighted Formulation and an Optimal Spectral-Galerkin Algorithm in Two Dimensions. SIAM J. Numer. Anal. Jie Shen, Haijun Yu
2012	J	`jnl`	Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. SIAM J. Numer. Anal. Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise
2010	J	`jnl`	A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains. J. Sci. Comput. Qingqu Zhuang, Jie Shen, Chuanju Xu
2010	J	`jnl`	A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities. SIAM J. Sci. Comput. Jie Shen, Xiaofeng Yang
2010	J	`jnl`	An unconditionally stable rotational velocity-correction scheme for incompressible flows. J. Comput. Phys. Suchuan Dong, Jie Shen
2010	J	`jnl`	Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems. SIAM J. Sci. Comput. Jie Shen, Haijun Yu
2010	J	`jnl`	Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle. Math. Comput. Huiyuan Li, Jie Shen
2010	J	`jnl`	Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2009	J	`jnl`	A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates. SIAM J. Sci. Comput. Weizhu Bao, Hailiang Li, Jie Shen
2009	J	`jnl`	A Rigorous Numerical Analysis of the Transformed Field Expansion Method. SIAM J. Numer. Anal. David P. Nicholls, Jie Shen
2009	J	`jnl`	A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang, Huiyuan Li
2009	J	`jnl`	An efficient moving mesh spectral method for the phase-field model of two-phase flows. J. Comput. Phys. Jie Shen, Xiaofeng Yang
2009	J	`jnl`	Efficient stochastic Galerkin methods for random diffusion equations. J. Comput. Phys. Dongbin Xiu, Jie Shen
2009	J	`jnl`	On spectral approximations in elliptical geometries using Mathieu functions. Math. Comput. Jie Shen, Li-Lian Wang
2008	J	`jnl`	A Dual-Petrov-Galerkin Method for the Kawahara-Type Equations. J. Sci. Comput. Juan-Ming Yuan, Jie Shen, Jiahong Wu
2008	J	`jnl`	A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel. SIAM J. Numer. Anal. Mejdi Azaïez, Jie Shen, Chuanju Xu, Qingqu Zhuang
2008	J	`jnl`	A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. J. Comput. Phys. Weizhu Bao, Jie Shen
2008	J	`jnl`	Dimensional Robustness and Instability of Sheared, Semidilute, Nanorod Dispersions. Multiscale Model. Simul. Xiaofeng Yang, Zhenlu Cui, M. Gregory Forest, Qi Wang, Jie Shen
2008	J	`jnl`	Error analysis of fully discrete velocity-correction methods for incompressible flows. Math. Comput. Jean-Luc Guermond, Jie Shen, Xiaofeng Yang
2008	J	`jnl`	Irrational approximations and their applications to partial differential equations in exterior domains Adv. Comput. Math. Ben-yu Guo, Jie Shen
2008	J	`jnl`	On Numerical Approximations of Forward-Backward Stochastic Differential Equations. SIAM J. Numer. Anal. Jin Ma, Jie Shen, Yanhong Zhao
2007	J	`jnl`	A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. J. Comput. Phys. Qirong Fang, David P. Nicholls, Jie Shen
2007	J	`jnl`	An efficient direct parallel spectral-element solver for separable elliptic problems. J. Comput. Phys. Yuen-Yick Kwan, Jie Shen
2007	J	`jnl`	Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2007	J	`jnl`	Gauge-Uzawa methods for incompressible flows with variable density. J. Comput. Phys. Jae-Hong Pyo, Jie Shen
2006	J	`jnl`	A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering. SIAM J. Sci. Comput. David P. Nicholls, Jie Shen
2006	J	`jnl`	Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. J. Comput. Phys. Xiaofeng Yang, James J. Feng, Chun Liu, Jie Shen
2006	J	`jnl`	Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials. J. Sci. Comput. Ben-yu Guo, Jie Shen, Li-Lian Wang
2005	J	`jnl`	A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates. SIAM J. Sci. Comput. Weizhu Bao, Jie Shen
2005	J	`jnl`	Error Analysis for Mapped Jacobi Spectral Methods. J. Sci. Comput. Li-Lian Wang, Jie Shen
2005	J	`jnl`	Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions. SIAM J. Numer. Anal. Jean-Luc Guermond, Peter D. Minev, Jie Shen
2005	J	`jnl`	Spectral Approximation of the Helmholtz Equation with High Wave Numbers. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2004	J	`jnl`	Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods. SIAM J. Numer. Anal. Jie Shen, Li-Lian Wang
2004	J	`jnl`	On the error estimates for the rotational pressure-correction projection methods. Math. Comput. Jean-Luc Guermond, Jie Shen
2003	J	`jnl`	A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation. SIAM J. Numer. Anal. Jie Shen
2003	J	`jnl`	Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. Qiang Du, Ben-yu Guo, Jie Shen
2003	J	`jnl`	Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation. Adv. Comput. Math. Ben-yu Guo, Jie Shen, Cheng-long Xu
2003	J	`jnl`	Velocity-Correction Projection Methods for Incompressible Flows. SIAM J. Numer. Anal. Jean-Luc Guermond, Jie Shen
2001	J	`jnl`	Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. Qiang Du, Ben-yu Guo, Jie Shen
2000	J	`jnl`	A Rational Approximation and Its Applications to Differential Equations on the Half Line. J. Sci. Comput. Ben-yu Guo, Jie Shen, Zhong-Qing Wang
2000	J	`jnl`	Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Numerische Mathematik Ben-yu Guo, Jie Shen
2000	J	`jnl`	Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions. SIAM J. Numer. Anal. Jie Shen
1999	J	`jnl`	Efficient Spectral-Galerkin Methods IV. Spherical Geometries. SIAM J. Sci. Comput. Jie Shen
1997	J	`jnl`	Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries. SIAM J. Sci. Comput. Jie Shen
1996	J	`jnl`	On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes. Math. Comput. Jie Shen
1995	J	`jnl`	Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials. SIAM J. Sci. Comput. Jie Shen
1994	J	`jnl`	Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials. SIAM J. Sci. Comput. Jie Shen