3 papers
cs.LG2026
MNO: Multiscale Neural Operator for 3D Computational Fluid Dynamics
Qinxuan Wang, Chuang Wang, Mingyu Zhang +4
Neural operators have emerged as a powerful data-driven paradigm for solving partial differential equations (PDEs), while their accuracy and scalability are still limited, particul…
math.NA2025
Long-time stability and convergence analysis of an IMEX BDF3 scheme for 2-D incompressible Navier-Stokes equation
Kelong Cheng, Jingwei Sun, Hong Zhang
High-order time-stepping schemes are crucial for simulating incompressible fluid flows due to their ability to capture complex turbulent behavior and unsteady motion. In this work,…
math.NA2025
Convergence analysis of a second-order SAV-ZEC scheme for the Cahn-Hilliard-Navier-Stokes system
Jingwei Sun, Zeyu Xia, Wei Zhang
Incorporating the scalar auxiliary variable (SAV) method and the zero energy contribution (ZEC) technique, we analyze a linear and fully decoupled numerical scheme for the Cahn-Hil…