An upper bound estimate and stability for the global error of numerical integration using double exponential transformation

DOI10.1016/J.JMAA.2017.12.049OpenAlexW2964063746WikidataQ115570312 ScholiaQ115570312MaRDI QIDQ1754625

Arezoo Khatibi, Omid Khatibi

Publication date: 31 May 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05749

zbMATH Keywords

quadrature formuladouble exponential transformationnumerical integralsinc theory

Mathematics Subject Classification ID

Numerical integration (65D30) Integral equations (45-XX)

Related Items (1)

An upper bound estimate and stability for the global error of numerical integration using double exponential transformation

Cites Work

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• Optimality of the double exponential formula -- functional analysis approach
• An upper bound estimate and stability for the global error of numerical integration using double exponential transformation
• Numerical solution of integral equations by means of the sinc collocation method based on the double exponential transformation
• DE-sinc method for second order singularly perturbed boundary value problems
• An IMT-type quadrature formula with the same asymptotic performance as the DE formula
• A double exponential formula for the Fourier transforms
• Function classes for successful DE-Sinc approximations
• The double-exponential transformation in numerical analysis

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