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Computations with half-range Chebyshev polynomials
- Source :
-
Journal of Computational & Applied Mathematics . Jan2012, Vol. 236 Issue 7, p1753-1765. 13p. - Publication Year :
- 2012
-
Abstract
- Abstract: An efficient construction of two non-classical families of orthogonal polynomials is presented in the paper. The so-called half-range Chebyshev polynomials of the first and second kinds were first introduced by Huybrechs in Huybrechs (2010) . Some properties of these polynomials are also shown. Every integrable function can be represented as an infinite series of sines and cosines of these polynomials, the so-called half-range Chebyshev–Fourier (HCF) series. The second part of the paper is devoted to the efficient computation of derivatives and multiplication of the truncated HCF series, where two matrices are constructed for this purpose: the differentiation and the multiplication matrix. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 236
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 69983178
- Full Text :
- https://doi.org/10.1016/j.cam.2011.10.006