Shen Jie

时间:2024-12-05

Affiliation

Eastern Institute of Technology, Ningbo (Provisional Name)

Research Directions

· Numerical Solutions of Partial Differential Equations

· Computational Fluid Dynamics

· Computational Materials Science


Publications and Monographs:

1) Unconditional positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations - Unconditional positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations - 2021

2) A new Lagrange multiplier approach for constructing structure preserving schemes, II. Bound preserving - A new Lagrange multiplier approach for constructing structure preserving schemes, II. Bound preserving - 2022

3) Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations - Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations - 2022

4) A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions - A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions - 2022

5) New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis - New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis - 2022

6) Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches - Length Preserving Numerical Schemes for Landau–Lifshitz Equation Based on Lagrange Multiplier Approaches - 2023