A highly efficient and accurate new scalar auxiliary variable approach for gradient flows F Huang, J Shen, Z Yang SIAM Journal on Scientific Computing 42 (4), A2514-A2536, 2020 | 83 | 2020 |
A new class of implicit–explicit BDFk SAV schemes for general dissipative systems and their error analysis F Huang, J Shen Computer Methods in Applied Mechanics and Engineering 392, 114718, 2022 | 46 | 2022 |
Stability and Error Analysis of a Class of High-Order IMEX Schemes for Navier--Stokes Equations with Periodic Boundary Conditions F Huang, J Shen SIAM Journal on Numerical Analysis 59 (6), 2926-2954, 2021 | 29 | 2021 |
A new class of higher-order decoupled schemes for the incompressible Navier-Stokes equations and applications to rotating dynamics K Wu, F Huang, J Shen Journal of Computational Physics 458, 111097, 2022 | 22 | 2022 |
Bound/positivity preserving and energy stable scalar auxiliary variable schemes for dissipative systems: Applications to Keller--Segel and Poisson--Nernst--Planck equations F Huang, J Shen SIAM Journal on Scientific Computing 43 (3), A1832-A1857, 2021 | 21 | 2021 |
Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations F Huang, J Shen, K Wu Journal of Computational Physics 460, 111177, 2022 | 13 | 2022 |
Bound/positivity preserving and energy stable SAV schemes for dissipative systems: applications to Keller-Segel and Poisson-Nernst-Planck equations F Huang, J Shen Siam J. Sci. Comput 43 (3), 2021 | 10 | 2021 |
Stability and error analysis of a second-order consistent splitting scheme for the Navier–Stokes equations F Huang, J Shen SIAM Journal on Numerical Analysis 61 (5), 2408-2433, 2023 | 4 | 2023 |
Diffuse-interface approach to competition between viscous flow and diffusion in pinch-off dynamics F Huang, W Bao, T Qian Physical Review Fluids 7 (9), 094004, 2022 | 4 | 2022 |
Phase-field simulations for dripping-to-jetting transitions: Effects of low interfacial tension and bulk diffusion F Huang, W Bao, T Qian Physics of Fluids 35 (7), 2023 | 1 | 2023 |
On a new class of BDF and IMEX schemes for parabolic type equations F Huang, J Shen arXiv preprint arXiv:2405.00300, 2024 | | 2024 |
A class of IMEX schemes and their error analysis for the Navier–Stokes Cahn–Hilliard system F Huang, J Shen Annals of Mathematical Sciences and Applications 9 (1), 185-235, 2024 | | 2024 |
A new scalar auxiliary variable approach for general dissipative systems F Huang Purdue University, 2021 | | 2021 |
A HIGHLY EFFICIENT AND ACCURATE NEW SAV APPROACH FOR GRADIENT FLOWS F HUANG, JIE SHEN, Z YANG rn 1 (1), 2, 0 | | |