Mathematical background

The Spectral Ewald method for the kernels included in this package is described in the below publications.

Electrostatics:

• . D. Lindbo and A.-K. Tornberg, Spectral accuracy in fast Ewald-based methods for particle simulations, http://dx.doi.org/10.1016/j.jcp.2011.08.022
• . D. Lindbo and A.-K. Tornberg, Fast and spectrally accurate Ewald summation for 2-periodic electrostatic systems, http://dx.doi.org/10.1063/1.4704177
• . A.-K. Tornberg, The Ewald sums for singly, doubly and triply periodic electrostatic systems, https://doi.org/10.1007/s10444-015-9422-3
• . D. S. Shamshirgar and A.-K. Tornberg, The Spectral Ewald method for singly periodic domains, https://doi.org/10.1016/j.jcp.2017.07.001
• . D. S. Shamshirgar and A.-K. Tornberg, Fast Ewald summation for electrostatic potentials with arbitrary periodicity, https://arxiv.org/abs/1712.04732

Stokes:

• . D. Lindbo and A.-K. Tornberg, Spectrally accurate fast summation for periodic Stokes potentials, http://dx.doi.org/10.1016/j.jcp.2010.08.026
• . D. Lindbo and A.-K. Tornberg, Fast and spectrally accurate summation of 2-periodic Stokes potentials, http://arxiv.org/abs/1111.1815
• . L. af Klinteberg and A.-K. Tornberg, Fast Ewald summation for Stokesian particle suspensions, http://dx.doi.org/10.1002/fld.3953
• . L. af Klinteberg and D. S. Shamshirgar and A.-K. Tornberg, Fast Ewald summation for free-space Stokes potentials, https://doi.org/10.1186/s40687-016-0092-7