New analytical approximations for the Mathieu functions

DOI10.1016/J.AMC.2004.06.023zbMath1177.33039OpenAlexW2120044424MaRDI QIDQ1780549

K. Z. Nobrega, H. E. Hernandez-Figueroa, C. A. Dartora

Publication date: 13 June 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.023

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical approximation and evaluation of special functions (33F05)

Related Items (4)

Self-rotating wave approximation via symmetric ordering of ladder operators ⋮ A variational modification of the Harmonic Balance method to obtain approximate Floquet exponents ⋮ Periodic analytic approximate solutions for the Mathieu equation ⋮ Propagation of electromagnetic waves in elliptical waveguides made of materials with anisotropic Hermitian dielectric tensors

Uses Software

• eigs
• IRAM

Cites Work

• Implicit Application of Polynomial Filters in a k-Step Arnoldi Method
• Algebraic methods to compute Mathieu functions
• Deflation Techniques for an Implicitly Restarted Arnoldi Iteration
• Representation Asymptotique Des Fonctions de Mathieu et des Fonctions D'onde Spheroidales
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