Jie Shen
Purdue University
H-index: 76
North America-United States
Top articles of Jie Shen
Title | Journal | Author(s) | Publication Date |
|---|---|---|---|
Energy-dissipative evolutionary deep operator neural networks | Journal of Computational Physics | Jiahao Zhang Shiheng Zhang Jie Shen Guang Lin | 2024/2/1 |
On a new class of BDF and IMEX schemes for parabolic type equations | arXiv preprint arXiv:2405.00300 | Fukeng Huang Jie Shen | 2024/5/1 |
Construction of a nontoxic nano-pesticide and its co-application with natural predators for perfect cooperative pest management: an innovative strategy for pesticide reduction | Environmental Science: Nano | Shangyuan Wu Qinhong Jiang Chunyang Huang Hailin Yang Changhua Zhang | 2024 |
Efficient energy stable numerical schemes for Cahn–Hilliard equations with dynamical boundary conditions | Journal of Computational Physics | Xinyu Liu Jie Shen Nan Zheng | 2024/4/24 |
On a class of higher-order length preserving and energy decreasing IMEX schemes for the Landau-Lifshitz equation | arXiv preprint arXiv:2404.08902 | Xiaoli Li Nan Zheng Jie Shen | 2024/4/13 |
A class of IMEX schemes and their error analysis for the Navier–Stokes Cahn–Hilliard system | Annals of Mathematical Sciences and Applications | Fukeng Huang Jie Shen | 2024/4 |
Higher-Order Energy-Decreasing Exponential Time Differencing Runge-Kutta methods for Gradient Flows | arXiv preprint arXiv:2402.15142 | Zhaohui Fu Jie Shen Jiang Yang | 2024/2/23 |
Efficient and stable SAV-based methods for gradient flows arising from deep learning | Journal of Computational Physics | Ziqi Ma Zhiping Mao Jie Shen | 2024/5/15 |
Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations | Journal of Computational and Applied Mathematics | Xiaoli Li Jie Shen | 2023/3/15 |
Efficient SAV–Hermite methods for the nonlinear Dirac equation. | Discrete & Continuous Dynamical Systems-Series B | Zhe Yu Jie Shen | 2023/6/1 |
An efficient and robust scalar auxialiary variable based algorithm for discrete gradient systems arising from optimizations | SIAM Journal on Scientific Computing | Xinyu Liu Jie Shen Xiangxiong Zhang | 2023/10/31 |
A fictitious domain spectral method for solving the Helmholtz equation in exterior domains | Journal of Scientific Computing | Yiqi Gu Jie Shen | 2023/3 |
Error estimate of a consistent splitting GSAV scheme for the Navier-Stokes equations | Applied Numerical Mathematics | Xiaoli Li Jie Shen | 2023/6/1 |
A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on cartesian meshes | arXiv preprint arXiv:2310.00226 | Xinyu Liu Jie Shen Xiangxiong Zhang | 2023/9/30 |
Log orthogonal functions in semi-infinite intervals: approximation results and applications | SIAM Journal on Numerical Analysis | Sheng Chen Jie Shen | 2023/2/28 |
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations | ESAIM: Mathematical Modelling and Numerical Analysis | Yana Di Yuheng Ma Jie Shen Jiwei Zhang | 2023/5/1 |
An Element-wise RSAV Algorithm for Unconstrained Optimization Problems | arXiv preprint arXiv:2309.04013 | Shiheng Zhang Jiahao Zhang Jie Shen Guang Lin | 2023/9/7 |
A positivity preserving scheme for Poisson-Nernst-Planck Navier-Stokes equations and its error analysis | arXiv preprint arXiv:2311.17349 | Ziyao Yu Qing Cheng Jie Shen Changyou Wang | 2023/11/29 |
A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | Yanrong Zhang Jie Shen | 2023/1/9 |
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system | Journal of Computational Physics | Xueling Huang Jie Shen | 2023/5/1 |
Co-Authors
