On the computation of Fourier transforms of singular functions
The authors describe a method for the computation of finite complex Fourier transforms of functions with endpoint singularities of algebraic or logarithmic type. This procedure is a modified Clenshaw-Curtis quadrature. The nonoscillatory and nonsingular part of the integrand is replaced by a truncated Chebyshev series and the integral is then evaluated by recurrence relations. Numerical examples are given.
scientific article; zbMATH DE number 85928
scientific article