Indefinite integration of oscillatory functions
Keller, Paweł
Applicationes Mathematicae, Tome 25 (1998), p. 301-311 / Harvested from The Polish Digital Mathematics Library
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A simple and fast algorithm is presented for evaluating the indefinite integral of an oscillatory function ∫xyif(t)eiωtdt, -1 ≤ x < y ≤ 1, ω ≠ 0, where the Chebyshev series expansion of the function f is known. The final solution, expressed as a finite Chebyshev series, is obtained by solving a second-order linear difference equation. Because of the nature of the equation special algorithms have to be used to find a satisfactory approximation to the integral.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:219205 
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Keller, Paweł. Indefinite integration of oscillatory functions. Applicationes Mathematicae, Tome 25 (1998) pp. 301-311. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i3p301bwm/

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