Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding-Reference-Cited by-同舟云学术

Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding

Published:2006-11-18 Issue:3 Volume:56 Page:203-219
ISSN:0022-0833
Container-title:Journal of Engineering Mathematics
language:en
Short-container-title:J Eng Math

Author:

Boyd John P.

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s10665-006-9087-5.pdf

Reference37 articles.

1. Boyd JP (2004) A review of high-order methods for incompressible fluid flow by M. O. Deville, P. F. Fischer and E. H. Mund. SIAM Rev 46:151–157

2. Boyd JP (1995) A Chebyshev polynomial interval-searching method (“Lanczos economization”) for solving a nonlinear equation with application to the nonlinear eigenvalue problem. J Comput Phys 118:1–8

3. Boyd JP (2002) Computing zeros on a real interval through Chebyshev expansion and polynomial rootfinding. SIAM J Num Anal 40:1666–1682

4. Boyd JP (2006) Finding the roots of a transcendental equation: how Chebyshev polynomials, algebraic geometry and matrix theory have solved a quest begun in Babylon. Math Intell submitted

5. Weidner P (1988) The Durand–Kerner method for trigonometric and exponential polynomials. Computing 40:175–179

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