FEAST for differential eigenvalue problems
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2019
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910696539684864 |
|---|---|
| author | Horning, Andrew Townsend, Alex |
| author_facet | Horning, Andrew Townsend, Alex |
| contents | An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex plane. Unbounded search regions are handled with a novel rational filter for the right half-plane. If the differential operator is normal or self-adjoint, then the operator analogue preserves that structure and robustly computes eigenvalues to near machine precision accuracy. The algorithm is particularly adept at computing high-frequency modes of differential operators that possess self-adjoint structure with respect to weighted Hilbert spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_04533 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | FEAST for differential eigenvalue problems Horning, Andrew Townsend, Alex Numerical Analysis 34L16, 65F15 An operator analogue of the FEAST matrix eigensolver is developed to compute the discrete part of the spectrum of a differential operator in a region of interest in the complex plane. Unbounded search regions are handled with a novel rational filter for the right half-plane. If the differential operator is normal or self-adjoint, then the operator analogue preserves that structure and robustly computes eigenvalues to near machine precision accuracy. The algorithm is particularly adept at computing high-frequency modes of differential operators that possess self-adjoint structure with respect to weighted Hilbert spaces. |
| title | FEAST for differential eigenvalue problems |
| topic | Numerical Analysis 34L16, 65F15 |
| url | https://arxiv.org/abs/1901.04533 |