An analog to Gaussian quadrature implemented on a specific trigonometric basis |
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| Authors: | V V Smelov A S Popov |
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| Institution: | 1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090, Russia
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| Abstract: | A new quadrature formula implemented on a nonstandard basis of trigonometric functions is constructed. The quadrature is comparable in accuracy to a Gaussian quadrature formula and is used with the same class of functions. However, this quadrature differs greatly from that for periodic functions, which is also based on trigonometric functions. |
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