KAUST Grant NumberKUS-C1-016-04
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AbstractWe consider quadrature formulas of high degree of precision for the computation of the Fourier coefficients in expansions of functions with respect to a system of orthogonal polynomials. In particular, we show the uniqueness of a multiple node formula for the Fourier-Tchebycheff coefficients given by Micchelli and Sharma and construct new Gaussian formulas for the Fourier coefficients of a function, based on the values of the function and its derivatives. © 2009 Elsevier B.V. All rights reserved.
CitationBojanov B, Petrova G (2009) Quadrature formulas for Fourier coefficients. Journal of Computational and Applied Mathematics 231: 378–391. Available: http://dx.doi.org/10.1016/j.cam.2009.02.097.
SponsorsThe first author was supported by the Sofia University Research grant # 135/2008 and by Swiss-NSF Scopes Project IB7320-111079. The work of second author has been supported in part by the NSF Grants #DMS-0505501 and #DMS-0810869, and by Award # KUS-C1-016-04, given by King Abdullah University of Science and Technology (KAUST).