Numerical evaluation of a fixed-amplitude variable-phase integral

DOI10.1007/s11075-008-9166-yzbMath1167.65349OpenAlexW1985365982MaRDI QIDQ1014754

J. N. Lyness

Publication date: 29 April 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9166-y

zbMATH Keywords

highly oscillatory integrandsfixed-amplitude variable-phase integralseries inversionstationary phase asymptotic expansionssteepest descent integration

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32)

Related Items (8)

Numerical evaluation of oscillatory-singular integrals ⋮ Asymptotic expansions for oscillatory integrals using inverse functions ⋮ Fast computation of a class of highly oscillatory integrals ⋮ Efficient methods for highly oscillatory integrals with weak and Cauchy singularities ⋮ Efficient integration for a class of highly oscillatory integrals ⋮ Fast computation of singular oscillatory Fourier transforms ⋮ Computation of oscillatory integrals with an exponential kernel and Jacobi-type singularities ⋮ Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications

Cites Work

• On quadrature methods for highly oscillatory integrals and their implementation
• Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Adjusted Forms of the Fourier Coefficient Asymptotic Expansion and Applications in Numerical Quadrature

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