Chebyshev domain truncation is inferior to Fourier domain truncation for solving problems on an infinite interval

DOI10.1007/BF01061252zbMath0666.65099MaRDI QIDQ1116685

John P. Boyd

Publication date: 1988

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Fourier expansionFourier seriesFourier coefficientsChebyshev approximationChebyshev domain truncationFourier domain truncation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical methods for ordinary differential equations (65L99)

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Cites Work

• Solitons from sine waves: Analytical and numerical methods for non- integrable solitary and cnoidal waves
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Numerical solution of problems in unbounded regions: coordinate transforms
• Orthogonal rational functions on a semi-infinite interval
• Spectral methods using rational basis functions on an infinite interval
• The \(K\)-theory of Eilenberg-MacLane complexes
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