Work

Algorithm 649

Year: 1987

Type: article

Abstract: We present a package that allows the computation of the trigonometric Fourier coefficients of a smooth function. The function can be provided as a subprogram or as a data list of function values at equally spaced points. The computational cost of the algorithm does not depend on the required number of Fourier coefficients. Numerical results of comparative tests with a standard integrator for oscillatory functions are also reported.

Source: ACM Transactions on Mathematical Software

DOI: 10.1145/23002.214339

Authors: G. Giunta, A. Murli

Institutions: Argonne National Laboratory, University of Naples Federico II

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: U.S. Department of Energy, Division of Mathematical Sciences, Argonne National Laboratory

Awards: G18202666, G2123841078