Numerical evaluation of some trigonometric series

McLean, W.

doi:10.1090/S0025-5718-1994-1240661-6

Numerical evaluation of some trigonometric series
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Math. Comp. 63 (1994), 271-275 Request permission

Abstract:

We present a method for the accurate numerical evaluation of a family of trigonometric series arising in the design of special-purpose quadrature rules for boundary element methods. The series converge rather slowly, but can be expressed in terms of Fourier-Chebyshev series that converge rapidly.

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