Title of article
Reliability conditions in quadrature algorithms Original Research Article
Author/Authors
S. Adam and Gh. Adam ، نويسنده , , S Adam، نويسنده , , N.M Plakida، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2003
Pages
16
From page
49
To page
64
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.
Keywords
Gauss–Kronrod quadrature , Discretization errors , Oscillatory functions , Numerical integration , reliability , Interpolatory quadrature
Journal title
Computer Physics Communications
Serial Year
2003
Journal title
Computer Physics Communications
Record number
1136197
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