Polynomial time-marching for nonperiodic boundary value problems

DOI10.1007/BF01578383zbMath0822.65066OpenAlexW1974074372MaRDI QIDQ1891295

Matthew J. Yedlin, Yong Luo

Publication date: 18 October 1995

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01578383

zbMATH Keywords

Chebyshev collocationFejér pointsNewton-form interpolationnonperiodic initial-boundary value problemsperiodic Fourier pseudospectral solutionpolynomial interpolation time-marching techniquespectrally accurate time-stepping technique

Mathematics Subject Classification ID

Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (1)

A Legendre spectral method in time for first-order hyperbolic equations

Cites Work

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• Polynomial approximation of functions of matrices and applications
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• High Degree Polynomial Interpolation in Newton Form
• An Instability Phenomenon in Spectral Methods
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• Spectral Methods in Time for Hyperbolic Equations

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