Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

Error estimates of Gaussian-type quadrature formulae for analytic functions on ellipses-a survey of recent results

This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation

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Veröffentlicht in:Electronic transactions on numerical analysis 2020-01, Vol.53, p.352-382
Hauptverfasser: Djukic, D.Lj, Djukic, R.M. Mutavdzic, Pejcev, A.V, Spalevic, M.M
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Sprache:eng
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Zusammenfassung:This paper presents a survey of recent results on error estimates of Gaussian-type quadrature formulas for analytic functions on confocal ellipses. Key words. error estimate, remainder term, analytic function, contour integral representation
ISSN:1068-9613
1097-4067
DOI:10.1553/etna_vol53s352