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ORCIDJie Shen 0001
Person information
- affiliation: Purdue University, Department of Mathematics, West Lafayette, IN, USA
- affiliation: Xiamen University, School of Mathematical Sciences, China
- affiliation (PhD 1987): Université Paris-Sud, Orsay, France
Other persons with the same name
- Jie Shen — disambiguation page
- Jie Shen 0003
![[0000-0003-4247-7029]](https://dblp.uni-trier.de/img/orcid-mark.12x12.png "0000-0003-4247-7029")
— National University of Defense Technology, College of Computer, Changsha, China (and 1 more) - Jie Shen 0004 — Hohai University, College of Computer and Information, Nanjing, China
- Jie Shen 0005 — Stevens Institute of Technology, Hoboken, NJ, USA (and 2 more)
- Jie Shen 0006 — East China University of Science and Technology, School of Pharmacy, Shanghai, China
- Jie Shen 0007 — Liaoning Normal University, School of Mathematics, Dalian, China
- Jie Shen 0008 — Imperial College London, UK
- Jie Shen 0009 — University of Michigan-Dearborn, USA
- Jie Shen 0010 — Rambus Inc., Sunnyvale, CA, USA (and 1 more)
- Jie Shen 0011 — Zhejiang University, Hangzhou, China
- Jie Shen 0012 — Shanghai Jiaotong University, China
- Jie Shen 0013 — University of Electronic Science and Technology of China, Chengdu, China
- Jie Shen 0014 — Zhejiang University of Technology, Institute of Cyberspace Security, College of Information Engineering, Hangzhou, China
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2020 – today
- 2024
[i27]Zhaohui Fu, Jie Shen, Jiang Yang:
Higher-Order Energy-Decreasing Exponential Time Differencing Runge-Kutta methods for Gradient Flows. CoRR abs/2402.15142 (2024)- 2023
- [j136]Xiaoli Li, Jie Shen:
Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations. J. Comput. Appl. Math. 421: 114892 (2023) - [j135]Xueling Huang, Jie Shen:
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system. J. Comput. Phys. 480: 112034 (2023) - [j134]Yiqi Gu, Jie Shen:
A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains. J. Sci. Comput. 94(3): 46 (2023) - [j133]Xiangyu Bai, Jiebao Sun, Jie Shen, Wenjuan Yao, Zhichang Guo:
A Ginzburg-Landau-H-1 Model and Its SAV Algorithm for Image Inpainting. J. Sci. Comput. 96(2): 40 (2023) - [j132]Sheng Chen, Jie Shen:
Log Orthogonal Functions in Semi-Infinite Intervals: Approximation Results and Applications. SIAM J. Numer. Anal. 61(1): 110-134 (2023) - [j131]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): 2408-2433 (2023) - [j130]Qing Cheng, Jie Shen:
Length Preserving Numerical Schemes for Landau-Lifshitz Equation Based on Lagrange Multiplier Approaches. SIAM J. Sci. Comput. 45(2): 530- (2023) - [j129]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): 2304- (2023) - [i26]Xiaoli Li, Jie Shen:
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. CoRR abs/2301.01401 (2023) - [i25]Xinyu Liu, Jie Shen, Xiangxiong Zhang:
An efficient and robust SAV based algorithm for discrete gradient systems arising from optimizations. CoRR abs/2301.02942 (2023) - [i24]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 abs/2307.09726 (2023) - [i23]Xinyu Liu, Jie Shen, Xiangxiong Zhang:
A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes. CoRR abs/2310.00226 (2023) - [i22]Ziyao Yu, Qing Cheng, Jie Shen, Changyou Wang:
A positivity preserving scheme for Poisson-Nernst-Planck Navier-Stokes equations and its error analysis. CoRR abs/2311.17349 (2023) - 2022
- [j128]Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen:
Modeling and simulation of cell nuclear architecture reorganization process. J. Comput. Phys. 449: 110808 (2022) - [j127]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: 111097 (2022) - [j126]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: 111177 (2022) - [j125]Yanrong Zhang, Jie Shen:
A generalized SAV approach with relaxation for dissipative systems. J. Comput. Phys. 464: 111311 (2022) - [j124]Xiaoli Li, Jie Shen, Zhengguang Liu:
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. Math. Comput. 91(333): 141-167 (2022) - [j123]Qing Cheng, Jie Shen:
A New Lagrange Multiplier Approach for Constructing Structure Preserving Schemes, II. Bound Preserving. SIAM J. Numer. Anal. 60(3): 970-998 (2022) - [j122]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): 1026-1054 (2022) - [j121]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): 1497- (2022) - [i21]Yanrong Zhang, Jie Shen:
A generalized SAV approach with relaxation for dissipative systems. CoRR abs/2201.12587 (2022) - [i20]Qing Cheng, Jie Shen:
Length preserving numerical schemes for Landau-Lifshitz equation based on Lagrange multiplier approaches. CoRR abs/2206.02882 (2022) - [i19]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 abs/2211.10599 (2022) - 2021
- [j120]Qing Cheng, Chun Liu, Jie Shen:
Generalized SAV approaches for gradient systems. J. Comput. Appl. Math. 394: 113532 (2021) - [j119]Duo Cao, Jie Shen, Jie Xu:
Computing interface with quasiperiodicity. J. Comput. Phys. 424: 109863 (2021) - [j118]Maojun Li, Yongping Cheng, Jie Shen, Xiangxiong Zhang:
A bound-preserving high order scheme for variable density incompressible Navier-Stokes equations. J. Comput. Phys. 425: 109906 (2021) - [j117]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: 110328 (2021) - [j116]Changtao Sheng, Duo Cao, Jie Shen:
Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian. J. Sci. Comput. 88(1): 4 (2021) - [j115]Beichuan Deng, Jie Shen, Qingqu Zhuang:
Second-Order SAV Schemes for the Nonlinear Schrödinger Equation and Their Error Analysis. J. Sci. Comput. 88(3): 69 (2021) - [j114]Yanrong Zhang, Jie Shen:
Efficient Structure Preserving Schemes for the Klein-Gordon-Schrödinger Equations. J. Sci. Comput. 89(2): 47 (2021) - [j113]Jie Shen, Jie Xu:
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. Numerische Mathematik 148(3): 671-697 (2021) - [j112]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): 2926-2954 (2021) - [j111]Yiqi Gu, Jie Shen:
An Efficient Spectral Method for Elliptic PDEs in Complex Domains with Circular Embedding. SIAM J. Sci. Comput. 43(1): A309-A329 (2021) - [j110]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): A1832-A1857 (2021) - [i18]Fukeng Huang, Jie Shen:
Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis. CoRR abs/2103.06344 (2021) - [i17]Qing Cheng, Pourya Delafrouz, Jie Liang, Chun Liu, Jie Shen:
Modeling and simulation of nuclear architecture reorganization process using a phase field approach. CoRR abs/2103.09658 (2021) - [i16]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 abs/2103.11025 (2021) - [i15]Xiaoli Li, Weilong Wang, Jie Shen:
Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. CoRR abs/2104.00229 (2021) - [i14]Jie Shen, Xiangxiong Zhang:
Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation. CoRR abs/2104.11813 (2021) - [i13]Jingwei Hu, Xiaodong Huang, Jie Shen, Haizhao Yang:
A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions. CoRR abs/2105.08806 (2021) - [i12]Qing Cheng, Jie Shen:
A new Lagrange multiplier approach for constructing positivity preserving schemes. CoRR abs/2107.00504 (2021) - [i11]Qing Cheng, Jie Shen:
A new Lagrange multiplier approach for constructing structure-preserving schemes, II. bound preserving. CoRR abs/2109.12479 (2021) - 2020
- [j109]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): 48 (2020) - [j108]Hongtao Chen, Jingjing Mao, Jie Shen:
Error estimate of Gauge-Uzawa methods for incompressible flows with variable density. J. Comput. Appl. Math. 364 (2020) - [j107]Ting Cheng, Lina Ma, Jie Shen:
An efficient numerical scheme for a 3D spherical dynamo equation. J. Comput. Appl. Math. 370 (2020) - [j106]Jiaxiang Cai, Jie Shen:
Two classes of linearly implicit local energy-preserving approach for general multi-symplectic Hamiltonian PDEs. J. Comput. Phys. 401 (2020) - [j105]Yiqi Gu, Jie Shen:
Bound preserving and energy dissipative schemes for porous medium equation. J. Comput. Phys. 410: 109378 (2020) - [j104]Qing Cheng, Chun Liu, Jie Shen:
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. 419: 109509 (2020) - [j103]Sheng Chen, Jie Shen:
An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation. J. Sci. Comput. 82(1): 17 (2020) - [j102]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): 81 (2020) - [j101]Yiqi Gu, Jie Shen:
Accurate and Efficient Spectral Methods for Elliptic PDEs in Complex Domains. J. Sci. Comput. 83(3): 42 (2020) - [j100]Hongtao Chen, Jingjing Mao, Jie Shen:
Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows. Numerische Mathematik 145(1): 167-196 (2020) - [j99]Jie Shen, Jie Xu:
Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller-Segel Equations. SIAM J. Numer. Anal. 58(3): 1674-1695 (2020) - [j98]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): 2435-2464 (2020) - [j97]Xiaoli Li, Jie Shen:
Error Analysis of the SAV-MAC Scheme for the Navier-Stokes Equations. SIAM J. Numer. Anal. 58(5): 2465-2491 (2020) - [j96]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): A849-A877 (2020) - [j95]Qing Cheng, Jie Shen:
Global Constraints Preserving Scalar Auxiliary Variable Schemes for Gradient Flows. SIAM J. Sci. Comput. 42(4): A2489-A2513 (2020) - [j94]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): A2514-A2536 (2020) - [i10]Xiaoli Li, Jie Shen, Zhengguang Liu:
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis. CoRR abs/2002.09090 (2020) - [i9]Sheng Chen, Jie Shen:
Log orthogonal functions: approximation properties and applications. CoRR abs/2003.01209 (2020) - [i8]Xiaoli Li, Jie Shen:
Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation. CoRR abs/2004.04319 (2020) - [i7]Jie Shen, Jie Xu:
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations. CoRR abs/2007.06132 (2020) - [i6]Xiaoli Li, Jie Shen:
On fully decoupled MSAV schemes for the Cahn-Hilliard-Navier-Stokes model of Two-Phase Incompressible Flows. CoRR abs/2009.09353 (2020)
2010 – 2019
- 2019
- [j93]Feng Chen, Jie Shen:
Stability and convergence analysis of rotational velocity correction methods for the Navier-Stokes equations. Adv. Comput. Math. 45(5): 3123-3136 (2019) - [j92]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: 72-88 (2019) - [j91]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): 1467-1487 (2019) - [j90]Jie Shen, Chang-Tao Sheng:
An Efficient Space-Time Method for Time Fractional Diffusion Equation. J. Sci. Comput. 81(2): 1088-1110 (2019) - [j89]Jie Shen, Yingwei Wang, Jianlin Xia:
Fast structured Jacobi-Jacobi transforms. Math. Comput. 88(318): 1743-1772 (2019) - [j88]Xiaoli Li, Jie Shen, Hongxing Rui:
Energy stability and convergence of SAV block-centered finite difference method for gradient flows. Math. Comput. 88(319): 2047-2068 (2019) - [j87]Jie Shen, Jie Xu, Jiang Yang:
A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows. SIAM Rev. 61(3): 474-506 (2019) - [i5]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 abs/1908.10029 (2019) - [i4]Xiaoli Li, Jie Shen:
Error analysis of the SAV-MAC scheme for the Navier-Stokes equations. CoRR abs/1909.05131 (2019) - [i3]Ting Cheng, Lina Ma, Jie Shen:
An efficient numerical scheme for a 3D spherical dynamo equation. CoRR abs/1910.01551 (2019) - [i2]Qing Cheng, Chun Liu, Jie Shen:
A new Lagrange Multiplier approach for gradient flows. CoRR abs/1911.08336 (2019) - [i1]Qing Cheng, Jie Shen:
Global constraints preserving SAV schemes for gradient flows. CoRR abs/1912.06869 (2019) - 2018
- [j86]Zhiping Mao, Jie Shen:
Spectral element method with geometric mesh for two-sided fractional differential equations. Adv. Comput. Math. 44(3): 745-771 (2018) - [j85]Jie Shen, Jie Xu, Jiang Yang:
The scalar auxiliary variable (SAV) approach for gradient flows. J. Comput. Phys. 353: 407-416 (2018) - [j84]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: 56-73 (2018) - [j83]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): 1286-1313 (2018) - [j82]Jie Shen, Jie Xu, Pingwen Zhang:
Approximations on SO(3) by Wigner D-matrix and Applications. J. Sci. Comput. 74(3): 1706-1724 (2018) - [j81]Sheng Chen, Jie Shen:
Enriched Spectral Methods and Applications to Problems with Weakly Singular Solutions. J. Sci. Comput. 77(3): 1468-1489 (2018) - [j80]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): 2057-2090 (2018) - [j79]Jie Shen, Jie Xu:
Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows. SIAM J. Numer. Anal. 56(5): 2895-2912 (2018) - [j78]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): A3982-A4006 (2018) - 2017
- [j77]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: 44-60 (2017) - [j76]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: 776-789 (2017) - [j75]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): 804-821 (2017) - [j74]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): 417-449 (2017) - [j73]Zhiping Mao, Jie Shen:
Hermite Spectral Methods for Fractional PDEs in Unbounded Domains. SIAM J. Sci. Comput. 39(5) (2017) - 2016
- [j72]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: 539-556 (2016) - [j71]Zhiping Mao, Jie Shen:
Efficient spectral-Galerkin methods for fractional partial differential equations with variable coefficients. J. Comput. Phys. 307: 243-261 (2016) - [j70]Ying Chen, Jie Shen:
Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models. J. Comput. Phys. 308: 40-56 (2016) - [j69]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): 417-437 (2016) - [j68]Sheng Chen, Jie Shen, Li-Lian Wang:
Generalized Jacobi functions and their applications to fractional differential equations. Math. Comput. 85(300): 1603-1638 (2016) - [j67]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) - [j66]Jie Shen, Yingwei Wang:
Müntz-Galerkin Methods and Applications to Mixed Dirichlet-Neumann Boundary Value Problems. SIAM J. Sci. Comput. 38(4) (2016) - 2015
- [j65]Jing An, Jie Shen:
Spectral approximation to a transmission eigenvalue problem and its applications to an inverse problem. Comput. Math. Appl. 69(10): 1132-1143 (2015) - [j64]Jie Shen, Xiaofeng Yang, Haijun Yu:
Efficient energy stable numerical schemes for a phase field moving contact line model. J. Comput. Phys. 284: 617-630 (2015) - [j63]Suchuan Dong, Jie Shen:
A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows. J. Comput. Phys. 291: 254-278 (2015) - [j62]Chun Liu, Jie Shen, Xiaofeng Yang:
Decoupled Energy Stable Schemes for a Phase-Field Model of Two-Phase Incompressible Flows with Variable Density. J. Sci. Comput. 62(2): 601-622 (2015) - [j61]Henk Dijkstra, Taylan Sengul, Jie Shen, Shouhong Wang:
Dynamic Transitions of Quasi-geostrophic Channel Flow. SIAM J. Appl. Math. 75(5): 2361-2378 (2015) - [j60]Jie Shen, Xiaofeng Yang:
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows. SIAM J. Numer. Anal. 53(1): 279-296 (2015) - 2014
- [j59]Jie Shen, Li-Lian Wang, Haijun Yu:
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. J. Comput. Appl. Math. 265: 264-275 (2014) - [j58]Ying He, Peijun Li, Jie Shen:
A new spectral method for numerical solution of the unbounded rough surface scattering problem. J. Comput. Phys. 275: 608-625 (2014) - [j57]Jie Shen, Xiaofeng Yang:
Decoupled Energy Stable Schemes for Phase-Field Models of Two-Phase Complex Fluids. SIAM J. Sci. Comput. 36(1) (2014) - 2013
- [j56]Jie Shen, Zhong-Qing Wang:
Error Analysis of the Strang Time-Splitting Laguerre-Hermite/Hermite Collocation Methods for the Gross-Pitaevskii Equation. Found. Comput. Math. 13(1): 99-137 (2013) - [j55]Xiaofeng Yang, M. Gregory Forest, Huiyuan Li, Chun Liu, Jie Shen, Qi Wang, Falai Chen:
Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids. J. Comput. Phys. 236: 1-14 (2013) - [j54]Feng Chen, Jie Shen:
A GPU parallelized spectral method for elliptic equations in rectangular domains. J. Comput. Phys. 250: 555-564 (2013) - [j53]Jing An, Jie Shen:
A Spectral-Element Method for Transmission Eigenvalue Problems. J. Sci. Comput. 57(3): 670-688 (2013) - 2012
- [j52]Ying He, David P. Nicholls, Jie Shen:
An efficient and stable spectral method for electromagnetic scattering from a layered periodic structure. J. Comput. Phys. 231(8): 3007-3022 (2012) - [j51]Feng Chen, Jie Shen:
Efficient spectral-Galerkin methods for systems of coupled second-order equations and their applications. J. Comput. Phys. 231(15): 5016-5028 (2012) - [j50]Suchuan Dong, Jie Shen:
A time-stepping scheme involving constant coefficient matrices for phase-field simulations of two-phase incompressible flows with large density ratios. J. Comput. Phys. 231(17): 5788-5804 (2012) - [j49]Feng Chen, Jie Shen, Haijun Yu:
A New Spectral Element Method for Pricing European Options Under the Black-Scholes and Merton Jump Diffusion Models. J. Sci. Comput. 52(3): 499-518 (2012) - [j48]Jie Shen, Cheng Wang, Xiaoming Wang, Steven M. Wise:
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. SIAM J. Numer. Anal. 50(1): 105-125 (2012) - [j47]Jie Shen, Haijun Yu:
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. 50(3): 1136-1161 (2012) - [j46]Jie Shen, Haijun Yu:
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains. SIAM J. Sci. Comput. 34(2) (2012) - 2010
- [j45]Suchuan Dong, Jie Shen:
An unconditionally stable rotational velocity-correction scheme for incompressible flows. J. Comput. Phys. 229(19): 7013-7029 (2010) - [j44]Qingqu Zhuang, Jie Shen, Chuanju Xu:
A Coupled Legendre-Laguerre Spectral-Element Method for the Navier-Stokes Equations in Unbounded Domains. J. Sci. Comput. 42(1): 1-22 (2010) - [j43]Huiyuan Li, Jie Shen:
Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle. Math. Comput. 79(271): 1621-1646 (2010) - [j42]Jie Shen, Li-lian Wang:
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross. SIAM J. Numer. Anal. 48(3): 1087-1109 (2010) - [j41]Jie Shen, Xiaofeng Yang:
A Phase-Field Model and Its Numerical Approximation for Two-Phase Incompressible Flows with Different Densities and Viscosities. SIAM J. Sci. Comput. 32(3): 1159-1179 (2010) - [j40]Jie Shen, Haijun Yu:
Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Problems. SIAM J. Sci. Comput. 32(6): 3228-3250 (2010)
2000 – 2009
- 2009
- [j39]Dongbin Xiu, Jie Shen:
Efficient stochastic Galerkin methods for random diffusion equations. J. Comput. Phys. 228(2): 266-281 (2009) - [j38]Jie Shen, Xiaofeng Yang:
An efficient moving mesh spectral method for the phase-field model of two-phase flows. J. Comput. Phys. 228(8): 2978-2992 (2009) - [j37]Jie Shen, Li-lian Wang:
On spectral approximations in elliptical geometries using Mathieu functions. Math. Comput. 78(266): 815-844 (2009) - [j36]Jie Shen, Li-lian Wang, Huiyuan Li:
A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions. SIAM J. Numer. Anal. 47(3): 1619-1650 (2009) - [j35]David P. Nicholls, Jie Shen:
A Rigorous Numerical Analysis of the Transformed Field Expansion Method. SIAM J. Numer. Anal. 47(4): 2708-2734 (2009) - [j34]Weizhu Bao, Hailiang Li, Jie Shen:
A Generalized-Laguerre--Fourier--Hermite Pseudospectral Method for Computing the Dynamics of Rotating Bose--Einstein Condensates. SIAM J. Sci. Comput. 31(5): 3685-3711 (2009) - 2008
- [j33]Ben-yu Guo, Jie Shen:
Irrational approximations and their applications to partial differential equations in exterior domains, . Adv. Comput. Math. 28(3): 237-267 (2008) - [j32]Weizhu Bao, Jie Shen:
A generalized-Laguerre-Hermite pseudospectral method for computing symmetric and central vortex states in Bose-Einstein condensates. J. Comput. Phys. 227(23): 9778-9793 (2008) - [j31]Juan-Ming Yuan, Jie Shen, Jiahong Wu:
A Dual-Petrov-Galerkin Method for the Kawahara-Type Equations. J. Sci. Comput. 34(1): 48-63 (2008) - [j30]Xiaofeng Yang, Zhenlu Cui, M. Gregory Forest, Qi Wang, Jie Shen:
Dimensional Robustness and Instability of Sheared, Semidilute, Nanorod Dispersions. Multiscale Model. Simul. 7(2): 622-654 (2008) - [j29]Jean-Luc Guermond, Jie Shen, Xiaofeng Yang:
Error analysis of fully discrete velocity-correction methods for incompressible flows. Math. Comput. 77(263): 1387-1405 (2008) - [j28]Jin Ma, Jie Shen, Yanhong Zhao:
On Numerical Approximations of Forward-Backward Stochastic Differential Equations. SIAM J. Numer. Anal. 46(5): 2636-2661 (2008) - [j27]Mejdi Azaïez, Jie Shen, Chuanju Xu, Qingqu Zhuang:
A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel. SIAM J. Numer. Anal. 47(1): 271-292 (2008) - 2007
- [j26]Jae-Hong Pyo, Jie Shen:
Gauge-Uzawa methods for incompressible flows with variable density. J. Comput. Phys. 221(1): 181-197 (2007) - [j25]Qirong Fang, David P. Nicholls, Jie Shen:
A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering. J. Comput. Phys. 224(2): 1145-1169 (2007) - [j24]Yuen-Yick Kwan, Jie Shen:
An efficient direct parallel spectral-element solver for separable elliptic problems. J. Comput. Phys. 225(2): 1721-1735 (2007) - [j23]Jie Shen, Li-lian Wang:
Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains. SIAM J. Numer. Anal. 45(5): 1954-1978 (2007) - 2006
- [j22]Xiaofeng Yang, James J. Feng, Chun Liu, Jie Shen:
Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method. J. Comput. Phys. 218(1): 417-428 (2006) - [j21]Ben-yu Guo, Jie Shen, Li-lian Wang:
Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials. J. Sci. Comput. 27(1-3): 305-322 (2006) - [j20]David P. Nicholls, Jie Shen:
A Stable High-Order Method for Two-Dimensional Bounded-Obstacle Scattering. SIAM J. Sci. Comput. 28(4): 1398-1419 (2006) - 2005
- [j19]Li-lian Wang, Jie Shen:
Error Analysis for Mapped Jacobi Spectral Methods. J. Sci. Comput. 24(2): 183-218 (2005) - [j18]Jean-Luc Guermond, Peter D. Minev, Jie Shen:
Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions. SIAM J. Numer. Anal. 43(1): 239-258 (2005) - [j17]Jie Shen, Li-lian Wang:
Spectral Approximation of the Helmholtz Equation with High Wave Numbers. SIAM J. Numer. Anal. 43(2): 623-644 (2005) - [j16]Weizhu Bao, Jie Shen:
A Fourth-Order Time-Splitting Laguerre-Hermite Pseudospectral Method for Bose-Einstein Condensates. SIAM J. Sci. Comput. 26(6): 2010-2028 (2005) - 2004
- [j15]Jean-Luc Guermond, Jie Shen:
On the error estimates for the rotational pressure-correction projection methods. Math. Comput. 73(248): 1719-1737 (2004) - [j14]Jie Shen, Li-lian Wang:
Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods. SIAM J. Numer. Anal. 42(1): 326-349 (2004) - 2003
- [j13]Ben-yu Guo, Jie Shen, Cheng-long Xu:
Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation. Adv. Comput. Math. 19(1-3): 35-55 (2003) - [j12]Jean-Luc Guermond, Jie Shen:
Velocity-Correction Projection Methods for Incompressible Flows. SIAM J. Numer. Anal. 41(1): 112-134 (2003) - [j11]Qiang Du, Ben-yu Guo, Jie Shen:
Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. 41(2): 796-798 (2003) - [j10]Jie Shen:
A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation. SIAM J. Numer. Anal. 41(5): 1595-1619 (2003) - 2001
- [j9]Qiang Du, Ben-yu Guo, Jie Shen:
Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. 39(3): 735-762 (2001) - 2000
- [j8]Ben-yu Guo, Jie Shen, Zhong-Qing Wang:
A Rational Approximation and Its Applications to Differential Equations on the Half Line. J. Sci. Comput. 15(2): 117-147 (2000) - [j7]Ben-yu Guo, Jie Shen:
Laguerre-Galerkin method for nonlinear partial differential equations on a semi-infinite interval. Numerische Mathematik 86(4): 635-654 (2000) - [j6]Jie Shen:
Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions. SIAM J. Numer. Anal. 38(4): 1113-1133 (2000)
1990 – 1999
- 1999
- [j5]Jie Shen:
Efficient Spectral-Galerkin Methods IV. Spherical Geometries. SIAM J. Sci. Comput. 20(4): 1438-1455 (1999) - 1997
- [j4]Jie Shen:
Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries. SIAM J. Sci. Comput. 18(6): 1583-1604 (1997) - 1996
- [j3]Jie Shen:
On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes. Math. Comput. 65(215): 1039-1065 (1996) - 1995
- [j2]Jie Shen:
Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials. SIAM J. Sci. Comput. 16(1): 74-87 (1995) - 1994
- [j1]Jie Shen:
Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials. SIAM J. Sci. Comput. 15(6): 1489-1505 (1994)
Coauthor Index
Li-Lian Wang
aka: Li-lian Wang
aka: Li-lian Wang
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