11 citations · 12 across the 10 of their papers we have counts for
5 papers · 2 filters
Positivity loss in bandlimited spectral reproduction on spheres
Hao-Ning Wu
How small can the positivity loss be for an -bandlimited spectral operator that exactly reproduces all modes up to degree ? For spherical polynomial approximation on $\mathbb…
Superconvergence and aliasing saturation in Sloan iteration for spherical integral equations
Hao-Ning Wu
Sloan iteration raises the convergence order of Galerkin and degenerate-kernel approximations to second-kind integral equations. After quadrature discretization, these become a dis…
Nearly tight framelet systems from nested Marcinkiewicz--Zygmund measures on compact Riemannian manifolds
Hao-Ning Wu, Xiaosheng Zhuang
Tight framelet systems on manifolds provide exact energy preservation and one-pass reconstruction, but their standard semi-discretization relies on polynomial-exact quadrature rule…
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…