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A Python Numeric module for (local) calculus on Poisson manifolds

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Python PyPI License GitHub last commit


Numerical Poisson Geometry

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'.

Motivation

This project includes numerical methods that implementation parts of:

🚀

Bugs & Contributions

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.

Licence 📄

MIT licence

Authors ✒️

This work is developed and maintained by:

Thanks for citing our work if you use it! 🤓

@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}
}

Acknowledgments

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.


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