Methods of numerical integration of oscillatory functions by the DE- formula with the Richardson extrapolation

DOI10.1016/0377-0427(87)90038-0zbMath0639.65013OpenAlexW2047241941MaRDI QIDQ1099924

Masaaki Sugihara

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90038-0

zbMATH Keywords

numerical resultsRichardson extrapolationLaplace transformationquadraturedouble exponential transformationinfinite oscillatory integralsAitken extrapolationDE-formulasurplus decaying exponential factor

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Laplace transform (44A10) Integral transforms of special functions (44A20) Numerical methods for integral transforms (65R10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Numerical calculation of Fourier transforms based on hyperfunction theory ⋮ The double exponential formula for oscillatory functions over the half infinite interval ⋮ Elastic multi-layered analysis using DE-integration

Cites Work

• Double exponential formulas for numerical integration
• Accélération de la convergence en analyse numérique
• Numerical Comparisons of Nonlinear Convergence Accelerators
• COMPLEX FOURIER--BESSEL TRANSFORMS
• What is the Laplace Transform?
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Methods of numerical integration of oscillatory functions by the DE- formula with the Richardson extrapolation