An adaptive algorithm for spectral computations on unbounded domains

DOI10.1016/0021-9991(92)90381-8zbMath0760.65095OpenAlexW1998378674MaRDI QIDQ1201721

J. A. C. Weideman, Alain H. Cloot

Publication date: 17 January 1993

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(92)90381-8

zbMATH Keywords

numerical testsunbounded domainsadaptive algorithmevolution equationsspectral methodoptimal parameterFourier series methodautomatic algorithmdomain truncationoptimal accuracyspectral rational function methodupdating algorithm

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

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Cites Work

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• Spectral methods and mappings for evolution equations on the infinite line
• The optimization of convergence for Chebyshev polynomial methods in an unbounded domain
• Spectral methods using rational basis functions on an infinite interval
• Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
• The Exponential Accuracy of Fourier and Chebyshev Differencing Methods