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math.NA2025
A Besov-based integration-by-parts method for the incompressible Navier-Stokes equations
Xinyu Cheng, Zhaonan Luo, Sheng Wang
This note introduces a novel numerical analysis framework for the incompressible Navier-Stokes equations based on Besov spaces. The key contribution of this note is to establish th…
math.NA2024
Viscosity-uniform error estimates for a semi-implicit Fourier method in Besov spaces
Xinyu Cheng, Zhaonan Luo, Sheng Wang
We prove error estimates for a semi-implicit Fourier--Galerkin method for two-dimensional incompressible flow on the torus, with viscosity . The temporal error is first…