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Please use this identifier to cite or link to this item: http://hdl.handle.net/11133/905

Title: MarsdenとTaylorのFourier積分公式について
Other Titles: Marsden ト Taylor ノ Fourier セキブン コウシキ ニツイテ
On Fourier Integral Formula by Marsden and Taylor
Authors: 秦野, 和郎
河瀬, 聡
KAWASE, Satoru
Issue Date: 31-Mar-1992
Publisher: 愛知工業大学
Abstract: Marsden and Taylor derived a quadrature formula for a Fourier integral whose form is the correction of Discrete Fourier Coefficients by the difference of higher order derivatives of f(χ) at the end points. Polynomial splines are used so that the coefficients in this formula are chosen to make the error vanish if f(χ) is a spline of degree κ. This formula is a good one, but the coefficients required in a actual computation are not yet given in a convenient form. To prevent the numerical instability in this formula, we derived another form of coefficients in this article. Numerical examples show the usefullness of this formula.
URI: http://hdl.handle.net/11133/905
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