1 citations · 1 across the 2 of their papers we have counts for
5 papers
Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere
Congpei An, Hao-Ning Wu
This paper focuses on the approximation of continuous functions on the unit sphere by spherical polynomials of degree via hyperinterpolation. Hyperinterpolation of degree i…
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions?
Congpei An, Hao-Ning Wu
Singular and oscillatory functions feature in numerous applications. The high-accuracy approximation of such functions shall greatly help us develop high-order methods for solving…
Lasso hyperinterpolation over general regions
Congpei An, Hao-Ning Wu
This paper develops a fully discrete soft thresholding polynomial approximation over a general region, named Lasso hyperinterpolation. This approximation is an -regularized…
The Numerical Stability of Regularized Barycentric Interpolation Formulae for Interpolation and Extrapolation
Congpei An, Hao-Ning Wu
The and regularized modified Lagrange interpolation formulae over are deduced in this paper. This paper mainly analyzes the numerical characteristics of…
Regularized Weighted Discrete Least Squares Approximation Using Gauss Quadrature Points
Congpei An, Hao-Ning Wu
We consider polynomial approximation over the interval by regularized weighted discrete least squares methods with or regularization, respectively. As t…