Shifted GMRES for oscillatory integrals
type: Item
instance of: scholarly article
title: Shifted GMRES for oscillatory integrals
zbMATH Open document ID: 1189.65049
author: Sheehan Olver
published in: Numerische Mathematik
publication date: 2010-03-02T00:00:00Z
review text: By applying the generalized minimal residual (GMRES) algorithm to a shifted linear differential operator, the author constructs a new method for approximating the oscillatory integral \(\int_a^b f(x)e^{i\omega g(x)}dx\). Unlike the existing methods, this one satisfies simultaneously the following properties: it has high asymptotic order and stability, it avoids the distortions in the complex plane and it remains accurate when the integrand has oscillations at multiple scales.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 5676441
zbMATH Keywords: generalized minimal residual (GMRES) algorithm
zbMATH Keywords: oscillatory integral
zbMATH Keywords: stability
zbMATH Keywords: multiple scales
reviewed by: Daniela Roşca
describes a project that uses: Chebfun
describes a project that uses: Eigtool
MaRDI profile type: Publication
full work available at URL: s00211-009-0264-0
OpenAlex ID: W1986853328
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DOI: 10.1007/S00211-009-0264-0
description: scientific article