no code implementations • 16 Feb 2021 • Brock Klippenstein, Richard Mikael Slevinsky
We discuss a fast approximate solution to the associated classical -- classical orthogonal polynomial connection problem.
Numerical Analysis Numerical Analysis 33C47, 65F15
4 code implementations • 16 Oct 2018 • Yu Li, Richard Mikael Slevinsky
We present a unified treatment of the Fourier spectra of spherically symmetric nonlocal diffusion operators.
Numerical Analysis 33C20, 41A20
5 code implementations • 21 Nov 2017 • Richard Mikael Slevinsky
We describe a skeletonization of the spherical harmonic connection problem that reduces the storage and pre-computation to superoptimal complexities at the cost of increasing the execution time by the modest multiplicative factor of $\mathcal{O}(\log n)$.
Numerical Analysis 15A18, 33C50, 33C52, 33C55, 47B25, 47B36
3 code implementations • 2 Jul 2015 • Richard Mikael Slevinsky, Sheehan Olver
The resulting system can be solved in ${\cal O}(m^2n)$ operations using an adaptive QR factorization, where $m$ is the bandwidth and $n$ is the optimal number of unknowns needed to resolve the true solution.
Numerical Analysis 65N35, 65R20, 33C45, 31A10
2 code implementations • 12 Jun 2014 • Richard Mikael Slevinsky, Sheehan Olver
We investigate the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods.
Numerical Analysis 30C30, 41A30, 65D30, 65L10
