A MATLAB implementation of the Schottky-Klein prime function.
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example_accuracy.m
example_slitmap.m
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skprime.m
skptests.m
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uninstall.m

README.md

README

SKPrime: A numerical implementation of the Schottky-Klein prime function in MATLAB.

This software is in the pre-release stage. Comprehensive help documentaiton for MATLAB is a work in progress. The theory behind the numerics is given in the paper listed in the citation section below.

Citing the software

When citing this software please mention the URL of the master repository (https://github.com/ehkropf/SKPrime), and the paper

D.G. Crowdy, C.C. Green, E.H. Kropf, M.M.S. Nasser. "The Schottky-Klein prime function: a theoretical and computational tool for applications." IMA Journal of Applied Mathematics, 2016, doi: 10.1093/imamat/hxw028.

How do I get set up?

  • Download a zip (or tar.gz) of the current release.
  • Unpack the zip somewhere.
  • Run the install.m function from MATLAB in the directory you've just unzipped.
    • This will put the SKPrime directory on your MATLAB search path.
  • See the example.m file for usage examples.
  • See the example_accuracy.m file for an accuracy test example.
  • See the example_slitmap.m file for a slitmap with the prime function.

FMM acceleration

If you have the FMM2D software installed, and the zfmm2dpart.m file is in your MATLAB search path, then the SKPrime software will take advantage of this for evaluation of large numbers of points in the domain.

Contribution guidelines

  • Ask Everett.
  • Please see the wiki.

Contact

License

This file is part of SKPrime.

SKPrime is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version.

SKPrime is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with SKPrime. If not, see http://www.gnu.org/licenses/.