Computation of oscillating integrals

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Abstract

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.

Keywords

quadrature
automatic integration
Fourier coefficients
oscillating integrals

Keywords

5.16

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