A brief introduction to pseudo-spectral methods: application to diffusion problems

DOI10.18500/1816-9791-2023-23-1-36-47arXiv1606.05432MaRDI QIDQ6274721

L. A. Sevast'yanov, D. S. Kulyabov, Konstantin Petrovich Lovetskiĭ

Publication date: 17 June 2016

Mathematics Subject Classification ID

Numerical analysis (65-XX) Approximations and expansions (41-XX)

Cites Work

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• Differentiation matrices for univariate polynomials
• Numerical experiments on the accuracy of the Chebyshev-Frobenius companion matrix method for finding the zeros of a truncated series of Chebyshev polynomials
• Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: effects of different bases
• A Fast and Well-Conditioned Spectral Method
• Spectral Methods
• Fast and Stable Algorithms for Banded Plus Semiseparable Systems of Linear Equations
• A Practical Guide to Pseudospectral Methods

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