pynosh 0.2.2

Nonlinear Schrödinger equations

PyNosh

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.

Usage

Documentation

The documentation is hosted at pynosh.readthedocs.org.

Example

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.

Development

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:

License

PyNosh is free software licensed under the GPL3 License.

References

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.