A robust double exponential formula for Fourier-type integrals

DOI10.1016/S0377-0427(99)00223-XzbMath0947.65149OpenAlexW2071615689MaRDI QIDQ1964090

Masatake Mori, Takuya Ooura

Publication date: 2 November 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00223-x

zbMATH Keywords

Fourier-type integralstrapezoidal ruleintegrals with endpoint singularitiesdouble exponential quadrature formulasdouble exponential transform

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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Uses Software

• QUADPACK

Cites Work

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• The double exponential formula for oscillatory functions over the half infinite interval
• Double exponential formulas for numerical integration
• Optimality of the double exponential formula -- functional analysis approach