Publication:1412498

{{DISPLAYTITLE:Large mode number eigenvalues of the prolate spheroidal differential equation.

DOI10.1016/S0096-3003(03)00280-7zbMath1041.34080OpenAlexW2124284683WikidataQ115339733 ScholiaQ115339733MaRDI QIDQ1412498

John P. Boyd

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00280-7

zbMATH Keywords

log-log seriesprolate spheroidal wavefunctions

Mathematics Subject Classification ID

Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms, On the Numerical Computation of Certain Eigenfunctions of Time and Multiband Limiting, A prolate-element method for nonlinear PDEs on the sphere, Optimal spectral schemes based on generalized prolate spheroidal wave functions of order \(-1\), Analysis of spectral approximations using prolate spheroidal wave functions, A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids, Quasi-Uniform Spectral Schemes (QUSS), Part I: Constructing Generalized Ellipses for Graphical Grid Generation, Ball prolate spheroidal wave functions in arbitrary dimensions

Uses Software

• Matlab

Cites Work

• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• Orthogonal rational functions on a semi-infinite interval
• Prolate spheroidal wavefunctions, quadrature and interpolation
• Uniform Asymptotic Expansions for Prolate Spheroidal Functions with Large Parameters
• Asymptotic Approximations for Prolate Spheroidal Wave Functions
• Spectral Methods in MATLAB
• Some Asymptotic Expressions for Prolate Spheroidal Functions and for the Eigenvalues of Differential and Integral Equations of Which They Are Solutions
• On Spheroidal Wave Functions of Order Zero
• Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
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