On symmetrizing the ultraspherical spectral method for self-adjoint problems

3 December 2019
14:00
Mikael Slevinsky
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.

 

  • Numerical Analysis Group Internal Seminar