Jie Shen
Results

Journal Article
Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy
Communications in Computational Physics, Vol. 24 (2018), Iss. 3 : pp. 635–654

Journal Article
Error Estimates and Blow-Up Analysis of a Finite-Element Approximation for the Parabolic-Elliptic Keller-Segel System
International Journal of Numerical Analysis and Modeling, Vol. 19 (2022), Iss. 2-3 : pp. 275–298

Journal Article
Stability and Convergence Analysis of a Linear Energy Stable Scheme for a Cahn-Hilliard Model with Smooth or Weakly Singular Non-Local Term
Annals of Applied Mathematics, Vol. 41 (2025), Iss. 2 : pp. 194–218

Journal Article
A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications
Communications in Computational Physics, Vol. 36 (2024), Iss. 5 : pp. 1157–1185

Journal Article
Efficient Spectral Methods for Transmission Eigenvalues and Estimation of the Index of Refraction
Journal of Mathematical Study, Vol. 47 (2014), Iss. 1 : pp. 1–20

Journal Article
Generalized Jacobi Spectral-Galerkin Method for Nonlinear Volterra Integral Equations with Weakly Singular Kernels
Journal of Mathematical Study, Vol. 48 (2015), Iss. 4 : pp. 315–329

Journal Article
Highly Efficient and Accurate Spectral Approximation of the Angular Mathieu Equation for any Parameter Values $q$
Journal of Mathematical Study, Vol. 51 (2018), Iss. 2 : pp. 131–149

Journal Article
Preconditioning Techniques in Chebyshev Collocation Method for Elliptic Equations
International Journal of Numerical Analysis and Modeling, Vol. 15 (2018), Iss. 1-2 : pp. 277–287

Journal Article
A New Class of Efficient SAV Schemes with Lagrange Multipliers for Dissipative Systems with Global Constraints
East Asian Journal on Applied Mathematics, Vol. 13 (2023), Iss. 3 : pp. 550–575

Journal Article
An Efficient, Energy Stable Scheme for the Cahn-Hilliard-Brinkman System
Communications in Computational Physics, Vol. 13 (2013), Iss. 4 : pp. 929–957

Journal Article
Efficient and Unconditional Energy Stable Schemes for the Micropolar Navier-Stokes Equations
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 1 : pp. 57–81

Journal Article
Some Recent Advances on Spectral Methods for Unbounded Domains
Communications in Computational Physics, Vol. 5 (2009), Iss. 2-4 : pp. 195–241