Fourier积分的数值计算法
A Numerical Method for the Evaluation of Fourier Integrals
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摘要: 本文建议采用样条函数插值作Fourier积分数值计算.同时,介绍了对几个一般函数采用各种不同的数值计算法的计算结果和构造样条函数的边界条件的简化处理方法.Abstract: This paper puts forward the use of spline function interpolation in the evaluation of Fourier integrals. At the same time, the numerical results of some common functions by various interpolation methods and a simplified method of construction of spline function for various boundary conditions are also presented.
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[1] N.A.C.A.TN,4073. [2] Filon,L.N.G.,On a quadrature formula for trigonometric integrals,Proc.Roy.Soc.,Edinburgh,49,(1928),38-47. [3] Clendenin,W.W.,A method for numerical calculation of Fourier integrals,Nu-merische Mat.,8,(1966),422-436. [4] Anlberg,J.H.et al,The Theory of splines and Their Application,Acad.Press,N.Y.,(1967).
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