Modified newton–cotes formulae for numerical quadrature of oscillatory integrals with two independent variable frequencies

DOI10.1080/00207169208804053zbMath0765.65025OpenAlexW266968240MaRDI QIDQ3989756

Marnix van Daele, Guido Vanden Berghe, H. E. De Meyer

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804053

zbMATH Keywords

numerical examplesnumerical quadratureinterpolation functionoscillatory integralsNewton Cotes quadrature ruletwo independent variable frequencies

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (5)

Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ A note on a recent study of oscillatory integration rules ⋮ Exponentially fitted quadrature rules of Gauss type for oscillatory integrands ⋮ On the error and its control in a two-parameter generalised Newton-Cotes rule ⋮ Operations on oscillatory functions

Cites Work

• Unnamed Item
• On a class of modified Newton-Cotes quadrature formulae based upon mixed- type interpolation
• On a new type of mixed interpolation
• A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
• On the error estimation for a mixed type of interpolation
• Numerical quadrature based on an exponential type of interpolation
• Generating and Compounding Product-Type Newton-Coates Quadrature Formulas

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