On symmetrizing the ultraspherical spectral method for self-adjoint problems

Aurentz J. Slevinsky R.M.
Journal of Computational Physics
Doi 10.1016/j.jcp.2020.109383
Volumen 410
2020-06-01
Citas: 4
Abstract
© 2020 Elsevier Inc.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.
Infinite-dimensional linear algebra, Spectral methods, Symmetric-definite and banded eigenvalue problems
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