4 papers
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…
Fourier Extension Based on Weighted Generalized Inverse
Zhenyu Zhao, Yanfei Wang, Anatoly G. Yagola +1
This paper introduces a weighted generalized inverse framework for Fourier extensions, designed to suppress spurious oscillations in the extended region while maintaining high appr…
Fast numerical derivatives based on multi-interval Fourier extension
Zhenyu Zhao, Yanfei Wang, Xinran Liu
We present a computationally efficient algorithm for stable numerical differentiation from noisy, uniformly-sampled data on a bounded interval. The method combines multi-interval F…
A Local Fourier Extension Method for Function Approximation
Zhenyu Zhao, Yanfei Wang
This paper proposes a novel localized Fourier extension method for approximating non-periodic functions via domain segmentation. By partitioning the computational domain into subre…