Numerische Approximation von Bilinearformen. (Numerical approximation of bilinear forms)
type: Item
instance of: scholarly article
title: Numerische Approximation von Bilinearformen. (Numerical approximation of bilinear forms)
zbMATH Open document ID: 0635.41025
DOI: 10.1007/BF03323280
author: Eberhard Luik
author: Karl Zeller
published in: Results in Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Bei der numerischen Integration ist es oft nützlich, den Integranden h als ein Produkt \(h=f\cdot g\) darzustellen. Dabei kann man zum Beispiel f und g variabel lassen (der hier studierte Fall). In dieser Arbeit wird hauptsächlich der Rest der untersuchten Formeln unter Verwendung von Approximation mit Biorthogonalsystemen behandelt. Behandelt werden Chebyshev-Entwicklung, Proxima-Zerlegung, Quadratur im allgemeinen und bei erhöhter Genauigkeit und schließlich das Clenshaw-Curtis- Verfahren.
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 65D32
zbMATH DE Number: 4034302
zbMATH Keywords: quadrature formula
zbMATH Keywords: product integration
zbMATH Keywords: error estimates
zbMATH Keywords: approximation by biorthogonal systems
zbMATH Keywords: Chebyshev expansion
zbMATH Keywords: proxima decomposition
zbMATH Keywords: Clenshaw-Curtis method
MaRDI profile type: Publication
cites work: Q3206200
cites work: Q3692692
cites work: Q3851509
cites work: The Convergence of Product-Type Quadrature Formulas
cites work: Properties of product-type quadrature formulas
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full work available at URL: https://doi.org/10.1007/bf03323280
OpenAlex ID: W2029620185
description: scientific article; zbMATH DE number 4034302