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Nonlinear Schrödinger equations

Project description


|Build Status| |Coverage Status| |Code Health| |Documentation Status|

PyNosh is a solver package for nonlinear Schrödinger equations. It
contains the respective model evaluators along with an implementation of
Newton's method and optional preconditioner for its linearization.

PyNosh uses `KryPy <>`__ for the
solution of linear equation systems and employs its deflation
capabilities. The package `VoroPy <>`__
is used to construct the finite-volume discrezation.



The documentation is hosted at
` <>`__.


|Ginzburg-Landau solution| |Ginzburg-Landau solution|

Absolute value and complex argument of a solution of the
*Ginzburg-Landau equations*, a particular instance of nonlinear
Schrödinger equations. The number of nodes in the discretization is
72166 for this example.


PyNosh is currently maintained by `Nico
Schlömer <>`__. Feel free to contact Nico.
Please submit feature requests and bugs as GitHub issues.

PyNosh is developed with continuous integration. Current status: |Build


PyNosh is free software licensed under the GPL3 License.


PyNosh was used to conduct the numerical experiments in the paper

- `Preconditioned Recycling Krylov subspace methods for self-adjoint
problems, A. Gaul and N. Schlömer, arxiv: 1208.0264,
2012 <>`__.

.. |Build Status| image::
.. |Coverage Status| image::
.. |Code Health| image::
.. |Documentation Status| image::
.. |doi| image::
.. |Ginzburg-Landau solution| image:: figures/solution-abs.png
.. |Ginzburg-Landau solution| image:: figures/solution-arg.png

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