Error estimate with explicit constants for the trapezoidal formula combined with Muhammad-Mori's SE transformation for the semi-infinite interval

DOI10.14495/JSIAML.9.45OpenAlexW2618702541MaRDI QIDQ3121487

Tomoaki Okayama

Publication date: 18 March 2019

Published in: JSIAM Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14495/jsiaml.9.45

zbMATH Keywords

error boundtrapezoidal rulesinc quadratureverified numerical integration

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Related Items (4)

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 ⋮ New conformal map for the Sinc approximation for exponentially decaying functions over the semi-infinite interval ⋮ Modified SE-Sinc approximation with boundary treatment over the semi-infinite interval and its error bound

Cites Work

• Double exponential formulas for numerical indefinite integration.
• Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
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