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Main Authors: Boulton, Lyonell, Strauss, Michael
Format: Preprint
Published: 2006
Subjects:
Online Access:https://arxiv.org/abs/math/0606721
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author Boulton, Lyonell
Strauss, Michael
author_facet Boulton, Lyonell
Strauss, Michael
contents In this paper we discuss the stability of an alternative pollution-free procedure for computing spectra. The main difference with the Galerkin method lies in the fact that it gives rise to a weak approximate problem which is quadratic in the spectral parameter, instead of linear. Previous accounts on this new procedure can be found in Levitin and Shargorodsky (2002) [math.SP/0212087] and Boulton (2006) [math.SP/0503126].
format Preprint
id arxiv_https___arxiv_org_abs_math_0606721
institution arXiv
publishDate 2006
record_format arxiv
spellingShingle Stability of Quadratic Projection Methods
Boulton, Lyonell
Strauss, Michael
Spectral Theory
Numerical Analysis
Primary: 47B36; Secondary: 47B39, 81-08
In this paper we discuss the stability of an alternative pollution-free procedure for computing spectra. The main difference with the Galerkin method lies in the fact that it gives rise to a weak approximate problem which is quadratic in the spectral parameter, instead of linear. Previous accounts on this new procedure can be found in Levitin and Shargorodsky (2002) [math.SP/0212087] and Boulton (2006) [math.SP/0503126].
title Stability of Quadratic Projection Methods
topic Spectral Theory
Numerical Analysis
Primary: 47B36; Secondary: 47B39, 81-08
url https://arxiv.org/abs/math/0606721