New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions

DOI10.1016/j.cam.2020.113354zbMath1459.65030arXiv2005.04577OpenAlexW3117322200WikidataQ114202025 ScholiaQ114202025MaRDI QIDQ2226282

Tomoki Nomura, Saki Tsuruta, Tomoaki Okayama

Publication date: 11 February 2021

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

Full work available at URL: https://arxiv.org/abs/2005.04577

zbMATH Keywords

conformal maptrapezoidal formulacomputable error bound

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Algorithms with automatic result verification (65G20) Numerical integration (65D30)

Related Items (2)

Improvement of the conformal map combined with the Sinc approximation for unilateral rapidly decreasing functions ⋮ Double-exponential formula for infinite integrals of unilateral rapidly decreasing functions

Uses Software

• Sinc-Pack

Cites Work

• Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
• New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval
• Numerical integration of analytic functions
• Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval
• Integration Formulae Based on the Trapezoidal Formula
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