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This article is cited in 5 scientific papers (total in 5 papers)
High accuracy trigonometric approximations of the real Bessel functions of the first kind
A. Cuyta, Wen-shin Leeab, Min Wuc a Universiteit Antwerpen, Dept. of Mathematics and Computer Science, Middelheimlaan 1, B-2020 Antwerpen, Belgium
b University of Stirling, Computing Science and Mathematics, Stirling FK9 4LA, Scotland, UK
c East China Normal University, School of Computer Science and Software Engineering, Shanghai Key Laboratory
of Trustworthy Computing, Shanghai 200062, P.R. China
Abstract:
We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions ${{J}_{n}}(x)$ of the first kind and integer order. The trigonometric models are cosine or sine based depending on whether the Bessel function is even or odd. The main novelty lies in the fact that the frequencies in the trigonometric terms modelling ${{J}_{n}}(x)$ are also computed from the data in a Prony-type approach. Hence the interpolation problem is a nonlinear problem. Some existing compact trigonometric models for the Bessel functions ${{J}_{n}}(x)$ are hereby rediscovered and generalized.
Received: 31.07.2019 Revised: 30.08.2019 Accepted: 18.09.2019
Citation:
A. Cuyt, Wen-shin Lee, Min Wu, “High accuracy trigonometric approximations of the real Bessel functions of the first kind”, Zh. Vychisl. Mat. Mat. Fiz., 60:1 (2020), 118–119; Comput. Math. Math. Phys., 60:1 (2020), 119–127
Linking options:
https://www.mathnet.ru/eng/zvmmf11021 https://www.mathnet.ru/eng/zvmmf/v60/i1/p118
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Abstract page: | 72 | References: | 8 |
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