Highly accurate pseudospectral approximations of the prolate spheroidal wave equation for any bandwidth parameter and zonal wavenumber
DOI10.1007/S10915-016-0321-7zbMath1416.65224OpenAlexW2556954284MaRDI QIDQ1704849
Publication date: 13 March 2018
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-016-0321-7
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Lamé, Mathieu, and spheroidal wave functions (33E10) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A finite difference construction of the spheroidal wave functions
- On \(hp\)-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme
- Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
- A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions
- Duration and bandwidth limiting. Prolate functions, sampling, and applications.
- Adaptive radial basis function and Hermite function pseudospectral methods for computing eigenvalues of the prolate spheroidal wave equation for very large bandwidth parameter
- Fourierization of the Legendre-Galerkin method and a new space-time spectral method
- A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering
- Pseudospectral methods for solving an equation of hypergeometric type with a perturbation
- Analytic continuation of Dirichlet-Neumann operators
- Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
- A numerical study of the Legendre-Galerkin method for the evaluation of the prolate spheroidal wave functions
- Prolate spheroidal wavefunctions, quadrature and interpolation
- On the Asymptotic Expansion of the Spheroidal Wave Function and Its Eigenvalues for Complex Size Parameter
- The Eigenvalues of Second-Order Spectral Differentiation Matrices
- The asymptotic iteration method for the angular spheroidal eigenvalues
- Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
- Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs
- Calculation of Gauss Quadrature Rules
This page was built for publication: Highly accurate pseudospectral approximations of the prolate spheroidal wave equation for any bandwidth parameter and zonal wavenumber
