Preprint / Computing and Computers / cs.MS E17-2002-205 (JINR DUBNA PREPRINT SEPT.2002 PRELIMINARY VERSION OF THIS PAPER) arXiv:cs/0303004


Reliability Conditions in Quadrature Algorithms


Adam, Gh ; Adam, S ; Plakida, N M

Year: 2009

Abstract: The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature knots which allows inferences approaching the theoretical 100% rate of success, under error estimate sharpening. The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models.

Web-Page: http://arxiv.org/pdf/cs/0303004.pdf
Language: eng


Note: Comments: 23 pages, 8 figures, 1 table, LaTeX2e, elsart.cls macro added, submitted to Computer Physics Communications

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