A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows. - Fukeng Huang; Jie Shen 001; Zhiguo Yang (SIAM J. Sci. Comput., 2020)

Implicit-explicit BDF k SAV schemes for general dissipative systems and their error analysis. - Fukeng Huang; Jie Shen 001 (CoRR, 2021)

Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier-Stokes Equations with Periodic Boundary Conditions. - Fukeng Huang; Jie Shen 001 (SIAM J. Numer. Anal., 2021)

Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller-Segel and Poisson-Nernst-Planck Equations. - Fukeng Huang; Jie Shen 001 (SIAM J. Sci. Comput., 2021)

Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations. - Fukeng Huang; Jie Shen 001; Ke Wu (J. Comput. Phys., 2022)

A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics. - Ke Wu; Fukeng Huang; Jie Shen 001 (J. Comput. Phys., 2022)

Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier-Stokes Equations. - Fukeng Huang; Jie Shen 001 (SIAM J. Numer. Anal., 2023)

On a New Class of BDF and IMEX Schemes for Parabolic Type Equations. - Fukeng Huang; Jie Shen 001 (SIAM J. Numer. Anal., 2024)

Stability and error analysis of a new class of higher-order consistent splitting schemes for the Navier-Stokes equations. - Fukeng Huang; Jie Shen 001 (CoRR, 2025)