Exponentially convergent Fourier-Chebyshev quadrature schemes on bounded and infinite intervals

DOI10.1007/BF01061480zbMath0666.65022OpenAlexW2042498709MaRDI QIDQ1116643

John P. Boyd

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01061480

zbMATH Keywords

adaptive quadratureFourier methodGaussian quadraturesinfinite intervalsFourier approximationCurtis- Clenshaw algorithmrational Chebyshev function

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

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Cites Work

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• A method for numerical integration on an automatic computer
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Orthogonal rational functions on a semi-infinite interval
• Spectral methods using rational basis functions on an infinite interval
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions

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