Numerical evaluation of Airy-type integrals arising in uniform asymptotic analysis
DOI10.1016/j.cam.2020.112717zbMath1493.65045arXiv2001.02097OpenAlexW3000494496MaRDI QIDQ2297158
Javier Segura, Amparo Gil, Nico M. Temme
Publication date: 18 February 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.02097
numerical integrationsaddle point analysisasymptotic approximationsAiry-type integralscomputing special functionsnumerical quadrature of oscillatory integrals
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
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