default author photo

Jie Shen

Purdue University

610 Purdue Mall

West Lafayette, IN INDIANA 47907

United States

  • Purdue University

SCHOLARLY PAPERS

5

DOWNLOADS

286

TOTAL CITATIONS

0

Scholarly Papers (5)

Actions:
Email selected abstracts
1.

Bound/Positivity Preserving Sav Schemes for the Patlak-Keller-Segel-Navier-Stokes System

Number of pages: 23 Posted: 01 Oct 2022
Xueling Huang and Jie Shen
Xiamen University and Purdue University
Downloads 122 (592,433)

Abstract:

Loading...

Patlak-Keller-Segel-Navier-Stokes equations, bound/positivity preserving, energy dissipation, relaxed SAV method

2.

A Generalized Sav Approach with Relaxation for Dissipative Systems

Number of pages: 25 Posted: 22 Feb 2022
Jie Shen and Yanrong Zhang
Purdue University and Xiamen University
Downloads 48 (1,097,529)

Abstract:

Loading...

dissipative system, energy stability, error estimate, scalar auxiliary variable (SAV), gradient flows

3.

Bound/Positivity Preserving and Unconditionally Stable Schemes for a Class of Fourth Order Nonlinear Equations

Number of pages: 23 Posted: 16 Feb 2022
FUKENG HUANG, Jie Shen and Ke Wu
affiliation not provided to SSRN, Purdue University and Purdue University
Downloads 48 (1,086,013)

Abstract:

Loading...

bound/positivity preserving, SAV approach, energy stability, fourth order equations, dissipative systems

4.

Energy-Dissipative Evolutionary Deep Operator Neural Networks

Number of pages: 18 Posted: 17 Apr 2023
Jiahao Zhang, Shiheng Zhang, Jie Shen and Guang Lin
Purdue University, Purdue University, Purdue University and Purdue University - Department of Mathematics
Downloads 47 (1,121,190)

Abstract:

Loading...

Operator Learning, Evolutionary Neural Networks, Energy Dissipative, parametric equation, scalar auxiliary variable, Deep learning

5.

On a Class of Higher-Order Length Preserving and Energy Decreasing Imex Schemes for the Landau-Lifshitz Equation

Number of pages: 30 Posted: 16 Jul 2025
Xiaoli Li, Jie Shen and Nan Zheng
Shandong University, Purdue University and Hong Kong Polytechnic University
Downloads 21 (1,448,301)

Abstract:

Loading...

Landau-Lifshitz equation, length preserving, higher-order, energy stability, error estimates, time discretization