Calculation of radial prolate spheroidal wave functions of the second kind

DOI10.1016/j.cpc.2009.10.026zbMath1206.65124OpenAlexW2023148237MaRDI QIDQ615090

P. Kirby

Publication date: 5 January 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.10.026

zbMATH Keywords

Bulirsch-Stoerradial spheroidal wave functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Lamé, Mathieu, and spheroidal wave functions (33E10)

Uses Software

• Algorithm 693

Cites Work

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• Calculation of spheroidal wave functions
• Computation of radial wave functions for spheroids and triaxial ellipsoids by the modified phase function method
• On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter
• Algorithm 693: a FORTRAN package for floating-point multiple-precision arithmetic
• Theory and computation of spheroidal wavefunctions
• A Multistep Generalization of Runge-Kutta Methods With Four or Five Stages
• Evaluation of prolate spheroidal function by solving the corresponding differential equations