Convergence acceleration of Fourier series by analytical and numerical application of Poisson's formula

DOI10.1088/0305-4470/31/11/016zbMath0922.65098OpenAlexW1990775853MaRDI QIDQ4235468

Simon L. Marshall

Publication date: 22 March 1999

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

Full work available at URL: https://doi.org/10.1088/0305-4470/31/11/016

zbMATH Keywords

convergence accelerationFourier seriesFourier integralsLaplace's equationPoisson summation formulaSimpson's ruleEuler transformation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for trigonometric approximation and interpolation (65T40) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Numerical summation of series (65B10)

Related Items (2)

Acceleration of algebraically-converging Fourier series when the coefficients have series in powers of \(1/n\) ⋮ On the Convergence of the Quasi-Periodic Approximations on a Finite Interval

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