Numerical evaluation of Goursat's infinite integral

DOI10.1007/S11075-009-9265-4zbMath1175.65037OpenAlexW2069243103MaRDI QIDQ735072

Takemitsu Hasegawa, Ichizo Ninomiya, Yasuyo Hatano, Sugiura, Hiroshi

Publication date: 14 October 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-009-9265-4

zbMATH Keywords

numerical examplecontour integralhigh accuracyresiduesGoursat's infinite integralunbounded integrand

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (4)

Fast computation of Goursat's infinite integral with very high accuracy ⋮ A truncated Clenshaw-Curtis formula approximates integrals over a semi-infinite interval ⋮ Numerical evaluation of Goursat's infinite integral ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods

Uses Software

• CHA

Cites Work

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• Numerical evaluation of Goursat's infinite integral
• Numerical treatment of a twisted tail using extrapolation methods
• The numerical evaluation of a challenging integral
• Extrapolation methods theory and practice
• Double exponential formulas for numerical integration
• Computation of an infinite integral using series acceleration
• An Algorithm for a Generalization of the Richardson Extrapolation Process
• Practical Extrapolation Methods
• The SIAM 100-Digit Challenge

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