A method for efficient computation of integrals with oscillatory and singular integrand

DOI10.1007/s11075-019-00859-8zbMath1456.65017OpenAlexW2996602018MaRDI QIDQ827067

Gradimir V. Milovanović, Dilan Kılıç Kurtoǧlu, A. Ihsan Hasçelik

Publication date: 6 January 2021

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

Full work available at URL: https://doi.org/10.1007/s11075-019-00859-8

zbMATH Keywords

steepest descent methodhighly oscillatory integralsalgebraic and logarithmic singularitiesgeneralized Gauss-Laguerre quadratureslogarithmic Gauss-Gautschi-Laguerre

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (4)

Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions ⋮ Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands ⋮ Efficient quadrature rules for the singularly oscillatory Bessel transforms and their error analysis ⋮ Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands

Uses Software

• OrthogonalPolynomials
• OPQ
• GQLOG

Cites Work

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