Title of article
Asymptotic expansions for trapezoidal type product integration rules
Author/Authors
Santos-Leَn، نويسنده , , J.C.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
12
From page
219
To page
230
Abstract
This paper is concerned with the numerical integration of functions by piecewise polynomial product integration rules followed by application of extrapolation procedures. The studied rules can be considered as generalizations of the conventional trapezoidal rule. Euler-MacLaurin type asymptotic expansions are obtained with only even powers. Furthermore, numerical examples are given in order to show the effectiveness of these methods and a comparison with rules of similar characteristics is also made.
Keywords
Asymptotic expansions , Extensions of trapezoidal rule , Extrapolation procedures , Piecewise polynomial product integration rules , singular integrals
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1998
Journal title
Journal of Computational and Applied Mathematics
Record number
1549046
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