Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast and spectrally accurate Ewald summation for 2-periodic
  electrostatic systems   A new method for Ewald summation in planar/slablike geometry, i.e. systems
where periodicity applies in two dimensions and the last dimension is "free"
(2P), is presented. We employ a spectral representation in terms of both
Fourier series and integrals. This allows us to concisely derive both the 2P
Ewald sum and a fast PME-type method suitable for large-scale computations. The
primary results are: (i) close and illuminating connections between the 2P
problem and the standard Ewald sum and associated fast methods for full
periodicity; (ii) a fast, O(N log N), and spectrally accurate PME-type method
for the 2P k-space Ewald sum that uses vastly less memory than traditional PME
methods; (iii) errors that decouple, such that parameter selection is
simplified. We give analytical and numerical results to support this.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex