The spectral Ewald method for singly periodic domains

DOI10.1016/j.jcp.2017.07.001zbMath1380.78004arXiv1611.09538OpenAlexW2558945640MaRDI QIDQ683411

Anna-Karin Tornberg, Davoud Saffar Shamshirgar

Publication date: 6 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09538

zbMATH Keywords

fast Fourier transformFourier integralspectral accuracyCoulomb potentialsadaptive fast Fourier transformfast Ewald summationsingle periodic

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Electro- and magnetostatics (78A30)

Related Items (4)

Fast Ewald summation for Stokes flow with arbitrary periodicity ⋮ Kernel aggregated fast multipole method. Efficient summation of Laplace and Stokes kernel functions ⋮ Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall ⋮ Fast Ewald summation for Green's functions of Stokes flow in a half-space

Uses Software

• MMM1D
• Spectral Ewald

Cites Work

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• Spectral accuracy in fast Ewald-based methods for particle simulations
• Fast Ewald summation for free-space Stokes potentials
• A recursive algorithm for the \(G\) transformation and accurate computation of incomplete Bessel functions
• Fast ewald summation based on NFFT with mixed periodicity
• A comparison of Ewald summation techniques for planar surfaces
• Fast convolution with free-space Green's functions
• The Exponentially Convergent Trapezoidal Rule
• Ewald summation of electrostatic interactions of systems with finite extent in two of three dimensions
• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
• The Ewald sums for singly, doubly and triply periodic electrostatic systems

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