A generalization of prolate spheroidal functions with more uniform resolution to the triangle

DOI10.1007/s10665-006-9080-zzbMath1110.65072OpenAlexW2015453467WikidataQ57922670 ScholiaQ57922670MaRDI QIDQ870704

Mark A. Taylor, Beth A. Wingate

Publication date: 14 March 2007

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-006-9080-z

zbMATH Keywords

numerical examplespolynomial approximationeigenfunctionsprolate spheroidal functionsSturm Liouville equationTriangle

Mathematics Subject Classification ID

Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (3)

Analysis of spectral approximations using prolate spheroidal wave functions ⋮ A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids ⋮ Ball prolate spheroidal wave functions in arbitrary dimensions

Uses Software

• Algorithm 840

Cites Work

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• Wave propagation using bases for bandlimited functions
• Spectral methods on triangles and other domains
• A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
• Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms
• Approximation on simplices with respect to weighted Sobolev norms
• An Algorithm for Computing Fekete Points in the Triangle
• Prolate spheroidal wavefunctions, quadrature and interpolation
• Spectral approximations on the triangle
• 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

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