A Python module for (local) Poisson-Nijenhuis calculus on Poisson manifolds, with the following functions:
| num_bivector_field | num_bivector_to_matrix | num_poisson_bracket |
|---|---|---|
| num_hamiltonian_vf | num_sharp_morphism | num_coboundary_operator |
| num_modular_vf | num_curl_operator | num_one_forms_bracket |
| num_gauge_transformation | num_linear_normal_form_R3 | num_flaschka_ratiu_bivector |
This repository accompanies our paper 'On Computational Poisson Geometry II: Numerical Methods'.
This project includes numerical methods that implementation parts of:
- Miguel Evangelista-Alvarado, José C. Ruíz Pantaleón & P. Suárez-Serrato,
On Computational Poisson Geometry I: Symbolic Foundations,
arXiv:1912.01746 [math.DG] (2019)
Our issue tracker is at https://github.com/appliedgeometry/NumericalPoissonGeometry/issues. Please report any bugs that you find. Or, even better, if you are interested in our project you can fork the repository on GitHub and create a pull request.
MIT licence
This work is developed and maintained by:
- José C. Ruíz Pantaleón - @jcrpanta
- Pablo Suárez Serrato - @psuarezserrato
- Miguel Evangelista-Alvarado - @mevangelista-alvarado
@misc{evangelistaalvarado2020computational,
title={On Computational Poisson Geometry II: Numerical Methods},
author={M. Evangelista-Alvarado and J. C. Ruíz-Pantaleón and P. Suárez-Serrato},
year={2020},
eprint={2010.09785},
archivePrefix={arXiv},
primaryClass={math.DG}
}
This work was partially supported by the grants CONACyT, “Programa para un Avance Global e Integrado de la Matemática Mexicana” CONACyT-FORDECYT 26566 and "Aprendizaje Geométrico Profundo" UNAM-DGAPA-PAPIIT-IN104819. JCRP wishes to also thank CONACyT for a postdoctoral fellowship held during the production of this work.
