Rootfinding through global Newton iteration and Chebyshev polynomials for the amplitude of an electronic oscillator

DOI10.1016/j.amc.2006.03.045zbMath1106.65113OpenAlexW1964078241MaRDI QIDQ861086

John P. Boyd, Robert M. Visser

Publication date: 9 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.045

zbMATH Keywords

numerical quadratureChebyshev polynomial serieselectronic amplifiesloop oscillator

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (1)

New series for the cosine lemniscate function and the polynomialization of the lemniscate integral

Uses Software

• Matlab

Cites Work

• Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding
• The devil's invention: Asymptotic, superasymptotic and hyperasymptotic series
• Spectral methods for incompressible viscous flow
• Computing real roots of a polynomial in Chebyshev series form through subdivision
• Spectral Methods in MATLAB
• Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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