On symmetrizing the ultraspherical spectral method for self-adjoint problems
Numerical Analysis
2020-04-22 v1
Abstract
A mechanism is described to symmetrize the ultraspherical spectral method for self-adjoint problems. The resulting discretizations are symmetric and banded. An algorithm is presented for an adaptive spectral decomposition of self-adjoint operators. Several applications are explored to demonstrate the properties of the symmetrizer and the adaptive spectral decomposition.
Cite
@article{arxiv.1903.08538,
title = {On symmetrizing the ultraspherical spectral method for self-adjoint problems},
author = {Jared Lee Aurentz and Richard Mikael Slevinsky},
journal= {arXiv preprint arXiv:1903.08538},
year = {2020}
}