===============================================================================

This directory contains Fortran and MATLAB Code for

    Buvoli T. and Southworth B. "Additive Polynomial Methods", 2021
    Submitted.

This code was used to compute linear stability regions and run experiments
for the KDV and Kuramoto-Sivashinsky equations on periodic domains.

All code is released under the MIT License. 

===============================================================================

Directory Structure:

fortran - Contains Fortran implementations of: IMEX-Radau, IMEX-RK, 
    IMEXSDC, ETDRK4, and ETDSDC. Requires OPENMP, FFTW, BLAS, LAPACK.

matlab - Contains MATLAB scripts for computing stability regions of
         IMEX-PBDF and IMEX-Radau methods.

See README.txt files in individual directories for more specific information.

===============================================================================

MIT License

Copyright (c) 2021 Tommaso Buvoli

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.