4 papers · 1 filter
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…
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 Algorithms for Fourier extension based on boundary interval data
Z. Y. Zhao, Y. F Wang, A. G. Yagola
This paper presents a novel boundary-optimized fast Fourier extension algorithm for efficient approximation of non-periodic functions. The proposed methodology constructs periodic…