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Asymptotic expansions for trapezoidal type product integration rules

✍ Scribed by J.C. Santos-León

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
487 KB
Volume
91
Category
Article
ISSN
0377-0427

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✦ Synopsis

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. (~

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