On the convergence of Filon quadrature

DOI10.1016/j.cam.2009.08.017zbMath1193.41032OpenAlexW2154860675MaRDI QIDQ975631

B. E. Eshmatov

Publication date: 10 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.017

zbMATH Keywords

filon quadraturehighly oscillatory integrands

Mathematics Subject Classification ID

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

Related Items (8)

Fast, numerically stable computation of oscillatory integrals with stationary points ⋮ On an extended Filon method for highly oscillatory integrals over a simplex ⋮ Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities ⋮ Computing highly oscillatory integrals ⋮ Interpolatory quadrature rules for oscillatory integrals ⋮ Superinterpolation in highly oscillatory quadrature ⋮ Complexity of oscillatory integration for univariate Sobolev spaces ⋮ Error analysis of the extended filon-type method for highly oscillatory integrals

Cites Work

• On quadrature methods for highly oscillatory integrals and their implementation
• The Construction of cubature rules for multivariate highly oscillatory integrals
• Efficient quadrature of highly oscillatory integrals using derivatives
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