From high oscillation to rapid approximation II: expansions in Birkhoff series

DOI10.1093/imanum/drq038zbMath1364.65232OpenAlexW2318460305MaRDI QIDQ3116613

Ben Adcock, Arieh Iserles, Syvert P. Nørsett

Publication date: 25 February 2012

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1f82bc2eca4dcda63d8f294d8c0b5e26857240e6

zbMATH Keywords

orthogonal seriesFilon-type methodshighly oscillatory quadrature

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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Variational integrators for electric circuits ⋮ Error guarantees for least squares approximation with noisy samples in domain adaptation ⋮ A Note on Transformed Fourier Systems for the Approximation of Non-periodic Signals ⋮ On the convergence of expansions in polyharmonic eigenfunctions ⋮ How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings ⋮ Gibbs phenomenon and its removal for a class of orthogonal expansions

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