2 papers
math.NA2022
A spectral collocation method for elliptic PDEs in irregular domains with Fourier extension
Xianru Chen, Li Lin
Based on the Fourier extension, we propose an oversampling collocation method for solving the elliptic partial differential equations with variable coefficients over arbitrary irre…
math.NA2022
Stable approximation of functions from equispaced samples via Jacobi frames
Xianru Chen
In this paper, we study the Jacobi frame approximation with equispaced samples and derive an error estimation. We observe numerically that the approximation accuracy gradually decr…