Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms-Reference-Cited by-同舟云学术

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms

Published:2004-09 Issue:2 Volume:199 Page:688-716
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Boyd John P.

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference48 articles.

1. Asymptotic expansions of spheroidal wave functions;Abramowitz;J. Math. Phys.,1949

2. Handbook of Mathematical Functions;Abramowitz,1965

3. On a Fourier method of embedding domains using an optimal distributed control;Badea;Numer. Algorithms,2002

4. Anharmonic oscillator;Banerjee;Proc. Roy. Soc. London A,1978

5. On spheroidal wave functions of order zero;Bouwkamp;J. Math. Phys.,1947

Cited by 81 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Efficient Methods for the Chebyshev-Type Prolate Spheroidal Wave Functions and Corresponding Eigenvalues;Mathematics;2024-03-09

2. A fast procedure for the construction of quadrature formulas for bandlimited functions;Applied and Computational Harmonic Analysis;2023-09

3. Superconvergence and fast implementation of the barycentric prolate differentiation;Journal of Computational and Applied Mathematics;2022-08

4. Monodromy in prolate spheroidal harmonics;Studies in Applied Mathematics;2021-03-07

5. Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications;Journal of Mathematical Physics;2021-03-01