New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval

DOI10.1016/J.CAM.2019.112358OpenAlexW2964237994WikidataQ127491365 ScholiaQ127491365MaRDI QIDQ1989189

Eisuke Katsuura, Tomoaki Okayama, Yuya Shintaku

Publication date: 24 April 2020

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

Full work available at URL: https://arxiv.org/abs/1812.11546

zbMATH Keywords

variable transformationcomputable error boundSinc numerical method

Mathematics Subject Classification ID

Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Algorithms with automatic result verification (65G20)

Related Items (3)

Theoretical comparison of two conformal maps combined with the trapezoidal formula for the semi-infinite integral of exponentially decaying functions ⋮ New conformal map for the trapezoidal formula for infinite integrals of unilateral rapidly decreasing functions ⋮ Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound

Uses Software

• ODE-IVP-PACK
• Sinc-Pack

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recent developments of the Sinc numerical methods.
• Summary of Sinc numerical methods
• ODE-IVP-PACK via Sinc indefinite integration and Newton's method
• Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
• Error estimates with explicit constants for the sinc approximation over infinite intervals
• Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval
• Collocating Convolutions

This page was built for publication: New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval