Gaussian rule for integrals involving Bessel functions

DOI10.1007/s10543-023-00997-5arXiv2110.05051OpenAlexW3206493336MaRDI QIDQ6091832

Paolo Novati, Eleonora Denich

Publication date: 27 November 2023

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05051

zbMATH Keywords

Gaussian quadratureChebyshev algorithmmoment-based methodsBessel function of the first type

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Preconditioners for iterative methods (65F08)

Cites Work

• Quadrature formulas for oscillatory integral transforms
• Modified moments and Gaussian quadratures
• An algorithm for Gaussian quadrature given modified moments
• Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals
• Complex Gaussian quadrature for oscillatory integral transforms
• On Generating Orthogonal Polynomials
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Calculation of Gauss Quadrature Rules
• On the Construction of Gaussian Quadrature Rules from Modified Moments
• Computation of Gauss-type quadrature formulas
• Error estimates for a Gaussian rule involving Bessel functions
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