4 papers · 1 filter
When do perturbed Chebyshev--Lobatto points remain Chebyshev?
Hao-Ning Wu
Chebyshev points are distinguished in polynomial interpolation by the logarithmic growth of their Lebesgue constants. This paper asks a simple question: how much can Chebyshev poin…
Hyperinterpolation beyond exact cubature: a spectral multiplier approach
Hao-Ning Wu
We study hyperinterpolation and its spectral multiplier variants on the sphere under weak cubature assumptions formulated through Sobolev discrepancy estimates. In contrast with cl…
The path of hyperinterpolation: A survey
Congpei An, Jiashu Ran, Hao-Ning Wu
This paper surveys hyperinterpolation, a quadrature-based approximation scheme. We cover classical results, provide examples on several domains, review recent progress on relaxed q…
Spherical configurations and quadrature methods for integral equations of the second kind
Congpei An, Hao-Ning Wu
In this paper, we propose and analyze a product integration method for the second-kind integral equation with weakly singular and continuous kernels on the unit sphere $\mathbb{S}^…