Computation of oscillating integrals

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摘要

An adaptive quadrature method for the automatic computation of integrals with strongly oscillating integrand is presented. The integration method is based on a truncated Chebyshev series approximation. The algorithm uses a global subinterval division strategy. There is a protection against the influence of round-off errors. A Fortran implementation of the algorithm is given.

论文关键词:quadrature,automatic integration,Fourier coefficients,oscillating integrals,5.16

论文评审过程:Available online 20 April 2006.

论文官网地址:https://doi.org/10.1016/0771-050X(75)90033-9