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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://dblp1.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
- 2023
[j134]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)- [j133]Xueling Huang, Jie Shen:
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system. J. Comput. Phys. 480: 112034 (2023) - [j132]Yiqi Gu, Jie Shen:
A Fictitious Domain Spectral Method for Solving the Helmholtz Equation in Exterior Domains. J. Sci. Comput. 94(3): 46 (2023) - [j131]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) - [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) - [i23]Xiaoli Li, Jie Shen:
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations. CoRR abs/2301.01401 (2023) - [i22]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) - 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]