Jie Shen
Engineering · Purdue University West Lafayette
Publications
361
Citations
26,071
Est. group size
~2
Recurring co-author estimate
Active years
39
Publishing since 1987
Jie Shen works on numerical analysis and the design of computer algorithms for solving complex equations that describe fluid flow, phase changes, and other physical processes (such as the Navier-Stokes, Cahn-Hilliard, and Landau-Lifshitz equations). A recurring focus is developing 'energy-stable' or 'structure-preserving' numerical schemes, which are computational methods designed to remain accurate and stable while respecting key physical properties of the underlying equations. This work is mathematical/computational in nature and has applications in modeling fluids, materials science, and other physics-based systems.
Publication output has remained fairly steady to slightly growing over the last decade, fluctuating between roughly 10 and 27 papers per year with no clear long-term decline.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Unique Solvability and Error Analysis of a Scheme Using the Lagrange Multiplier Approach for Gradient Flows
SIAM Journal on Numerical Analysis · 2025
- On a Class of Higher-Order Fully Decoupled Schemes for the Cahn–Hilliard–Navier–Stokes System
Journal of Scientific Computing · 2025
- Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations
Mathematics of Computation · 2025
- Stability and error analysis of linear IMEX schemes for sixth-order Cahn–Hilliard-type equations
Communications in Nonlinear Science and Numerical Simulation · 2025
- Structure Preserving Schemes for a Class of Wasserstein Gradient Flows
Communications on Applied Mathematics and Computation · 2025
- A Relaxed Vector Auxiliary Variable Algorithm for Unconstrained Optimization Problems
SIAM Journal on Scientific Computing · 2025
- A Decoupled Structure Preserving Scheme for the Poisson-Nernst-Planck Navier-Stokes Equations and its Error Analysis
Journal of Scientific Computing · 2025
- Phase-Field Modeling and Energy-Stable Schemes for Osmotic Flow Through Semi-Permeable
SSRN Electronic Journal · 2025
- On a Class of Higher-Order Length Preserving and Energy Decreasing Imex Schemes for the Landau-Lifshitz Equation
SSRN Electronic Journal · 2025
- Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model
arXiv (Cornell University) · 2025
- Defect Chemistry , Ionic and Electronic Conductivity of an Fe/Ni-Substituted La0.49sr0.31tio3 Exsolution Material
SSRN Electronic Journal · 2025
- Adaptive Time-Stepping and Maximum-Principle Preserving Lagrangian Schemes for Gradient Flows
SSRN Electronic Journal · 2025
- Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with 𝐶⁰ finite elements
Mathematics of Computation · 2025
- Corrigendum to “Neural network energy management strategy for plug-in hybrid electric combine harvesters based on quasi-periodic samples” [Eng. Appl. Artiϧ. Intell. 136 (2024) 109051]
Engineering Applications of Artificial Intelligence · 2025
- Phase-Field Modeling and Energy-Stable Schemes for Osmotic Flow through Semi-Permeable
arXiv (Cornell University) · 2025
- arXiv (Cornell University)×31
- Journal of Computational Physics×22
- Journal of Scientific Computing×17
- SIAM Journal on Scientific Computing×15
- SIAM Journal on Numerical Analysis×11
- Chen Liu
Engineering · Purdue University West Lafayette
- Xiangxiong Zhang
Engineering · Purdue University West Lafayette
- Yulong Xing
Engineering · The Ohio State University
- Zhiqiang Cai
Engineering · Purdue University West Lafayette
- César Herrera
Engineering · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
Claim or correct this profile