2 papers
math.NA2026
A Patchwise Local Fourier Extension Method for Function Approximation on General Two-Dimensional Domains
Zhenyu Zhao, Yanfei Wang
We propose a patchwise local Fourier extension method for approximating smooth functions on general two dimensional domains with curved boundaries. The domain is embedded into a Ca…
math.NA2026
Local Legendre Frame Approximation from Equispaced Data
Benxue Gong, Zhenyu Zhao, Chenyang Wang
We propose a local Legendre frame (LLF) method for function approximation from equispaced data on a finite interval. Motivated by the difficulty of stable high-order polynomial app…