Improving the numerical evaluation of certain oscillatory integrals

DOI10.1007/BF02243231zbMath0679.65009MaRDI QIDQ1822887

G. E. Okecha

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

error functionoscillationconvergence accelerationHermite polynomialsoscillatory integralsscaling parameterseries of Laguerre polynomialsoptimum parameter

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

• A method for numerical integration on an automatic computer
• On high precision methods for the evaluation of Fourier integrals with finite and infinite limits
• On High Precision Methods for Computing Integrals Involving Bessel Functions
• A numerical method for the integration of oscillatory functions
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