An algorithm for the evaluation of the complex Airy functions

DOI10.1016/0021-9991(79)90062-7zbMath0401.65010OpenAlexW1990695297WikidataQ57971798 ScholiaQ57971798MaRDI QIDQ1255297

Z. Schulten, Roy. G. Gordon, Donald G. M. Anderson

Publication date: 1979

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(79)90062-7

zbMATH Keywords

Airy FunctionsComputation of Special Functions

Mathematics Subject Classification ID

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)

Related Items (9)

Stability of core-annular flow with a small viscosity ratio ⋮ Shear-flow instability at the interface between two viscous fluids ⋮ The continuation of the normal mode solution of the underwater acoustic wave equation ⋮ Shear-flow instability due to a wall and a viscosity discontinuity at the interface ⋮ Numerical calculation of Bessel, Hankel and Airy functions ⋮ On nonoscillating integrals for computing inhomogeneous Airy functions ⋮ Numerical evaluation of Airy functions with complex arguments ⋮ Two-point quasi-fractional approximations to the Airy function Ai(x) ⋮ Radial transport in a porous medium with Dirichlet, Neumann and Robin-type inhomogeneous boundary values and general initial data: analytical solution and evaluation

Cites Work

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• On the calculation of the parabolic cylinder functions
• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Second-order linear differential equations with two turning points
• Algorithm 498: Airy Functions Using Chebyshev Series Approximations

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