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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Numerical evaluation of some trigonometric series


Author: W. McLean
Journal: Math. Comp. 63 (1994), 271-275
MSC: Primary 65T10; Secondary 42A32, 65B10
MathSciNet review: 1240661
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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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DOI: https://doi.org/10.1090/S0025-5718-1994-1240661-6
Article copyright: © Copyright 1994 American Mathematical Society