Some Modifications of the Trapezoidal Rule
DOI:
https://doi.org/10.5644/SJM.02.2.11Abstract
By using the quadratic interpolating spline a new class of the quadrature rules was obtained. Those formulas are modifications of the well known trapezoidal rule. The basic characteristic of those formulas is a free parameter. With appropriate choice of that parameter, accuracy of the trapezoidal rule can be improved up to $O(h^4).$ Besides this, by using this nonstandard techniques some well known quadrature rules were also obtained.
2000 Mathematics Subject Classification. 65D32, 65D07
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References
K. C. Chui, An Introduction to Wavelets, Academic Press Inc., 1992.
A. Quarteroni, R. Sacco and F. Saleri, Numerical Mathematics, Springer-Verlag, 2000.
J. Stoer, Numerische Mathematik 1, Springer-Verlag, 1994.
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Published
12.06.2024
How to Cite
Udovičić, Z. . (2024). Some Modifications of the Trapezoidal Rule. Sarajevo Journal of Mathematics, 2(2), 237–245. https://doi.org/10.5644/SJM.02.2.11
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