All roots spectral methods: constraints, floating point arithmetic and root exclusion

DOI10.1016/j.aml.2016.11.015zbMath1358.65049OpenAlexW2560130189MaRDI QIDQ511520

Călin-Ioan Gheorghiu, John P. Boyd

Publication date: 21 February 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.11.015

zbMATH Keywords

Chebyshev polynomialscomputer algebraspectral methodfloating point arithmeticnonlinear two-point boundary value problemlemniscate elliptic function

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items

Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations

Uses Software

• Maple

Cites Work

• A degree-increasing [\(N\)~to~\(N+1\) homotopy for Chebyshev and Fourier spectral methods]
• Chebyshev and Legendre spectral methods in algebraic manipulation languages
• Tracing multiple solution branches for nonlinear ordinary differential equations: Chebyshev and Fourier spectral methods and a degree-increasing spectral homotopy [DISH]
• Correcting Three Errors in Kantorovich & Krylov′s <em>Approximate Methods of Higher Analysis</em>
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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