Multiple-Precision Correctly rounded Newton-Cotes quadrature

DOI10.1051/ita:2007004zbMath1136.65032OpenAlexW2139410404MaRDI QIDQ5444105

Laurent Fousse

Publication date: 22 February 2008

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ITA_2007__41_1_103_0

zbMATH Keywords

numerical exampleserror boundsroundoff errorNewton-Cotes quadraturemultiple-precision arithmeticcorrect roundingworst case error analysis

Mathematics Subject Classification ID

Roundoff error (65G50) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Formally-verified round-off error analysis of Runge-Kutta methods

Uses Software

• MuPAD
• PARI/GP
• MPFR

Cites Work

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• Accurate and Efficient Floating Point Summation