A Levin-type algorithm for accelerating the convergence of Fourier series

DOI10.1007/BF02141933zbMath0788.65141OpenAlexW1990330235MaRDI QIDQ688122

Herbert H. H. Homeier

Publication date: 30 May 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02141933

zbMATH Keywords

Fourier seriesacceleration of convergencenonlinear Levin-type algorithmPoincaré-type expansions

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Numerical summation of series (65B10)

Related Items

A united approach to accelerating trigonometric expansions ⋮ Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Efficient algorithm for summation of some slowly convergent series ⋮ Unique solvability and non-uniqueness in the problem of forward motion of bodies in a two-layer fluid ⋮ Introduction to the determinantal formulae for the Levin-type algorithms ⋮ Convergence acceleration of orthogonal series ⋮ An asymptotically hierarchy-consistent, iterative sequence transformation for convergence acceleration of Fourier series ⋮ A convergence acceleration method of Fourier series ⋮ Method of summation of some slowly convergent series ⋮ Scalar Levin-type sequence transformations

Cites Work

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• Zur Konvergenzbeschleunigung von Fourier-Reihen
• Numerical Comparisons of Nonlinear Convergence Accelerators
• Numerical Inversion of Laplace Transforms Using a Fourier Series Approximation
• Accelerating Convergence of Eigenfunction Expansions
• Development of non-linear transformations for improving convergence of sequences
• Accelerating convergence of trigonometric approximations
• On a Device for Computing the e m (S n ) Transformation

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