The double-exponential transformation in numerical analysis

DOI10.1016/S0377-0427(00)00501-XzbMath0971.65015WikidataQ59508847 ScholiaQ59508847MaRDI QIDQ5929303

Masatake Mori, Masaaki Sugihara

Publication date: 6 November 2001

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

zbMATH Keywords

numerical integrationdouble-exponential transformationFourier-type integralquadrature formulaSinc method

Mathematics Subject Classification ID

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

• Quadrature formulas obtained by variable transformation and the DE-rule
• Parameter tuning and repeated application of the IMT-type transformation in numerical quadrature
• The double exponential formula for oscillatory functions over the half infinite interval
• Double exponential formulas for numerical integration
• An IMT-type double exponential formula for numerical integration
• Optimality of the double exponential formula -- functional analysis approach
• On a certain quadrature formula
• A robust double exponential formula for Fourier-type integrals
• Quadrature formulas obtained by variable transformation
• Near optimality of the sinc approximation
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