On group Fourier analysis and symmetry preserving discretizations of PDEs

DOI10.1088/0305-4470/39/19/S14zbMath1090.65121OpenAlexW2000275012WikidataQ59567751 ScholiaQ59567751MaRDI QIDQ5466913

Hans Z. Munthe-Kaas

Publication date: 22 May 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/39/19/s14

zbMATH Keywords

algorithmsWeyl groupsChebyshev polynomialsroot systemsmatrix exponentialsLie group integratorsemi-simple Lie algebrasspectral element discretizationsfast Fourier transform-based algorithmsGaussian integration rulespseudo-spectral differentiation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications of Lie groups to the sciences; explicit representations (22E70) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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