numericalpoissongeometry 1.1.2

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

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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:

• Miguel Evangelista-Alvarado, José C. Ruíz Pantaleón & P. Suárez-Serrato,
  On Computational Poisson Geometry I: Symbolic Foundations,
  arXiv:1912.01746 [math.DG] (2019)

🚀

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:

• José C. Ruíz Pantaleón - @jcrpanta
• Pablo Suárez Serrato - @psuarezserrato
• Miguel Evangelista-Alvarado - @mevangelista-alvarado

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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