A diagrammatic view of differential equations in physics

@article{Patterson2022ADV,
  title={A diagrammatic view of differential equations in physics},
  author={Evan Patterson and Andre Baas and Timothy Hosgood and James P. Fairbanks},
  journal={Mathematics in Engineering},
  year={2022}
}
Presenting systems of differential equations in the form of diagrams has become common in certain parts of physics, especially electromagnetism and computational physics. In this work, we aim to put such use of diagrams on a firm mathematical footing, while also systematizing a broadly applicable framework to reason formally about systems of equations and their solutions. Our main mathematical tools are category-theoretic diagrams, which are well known, and morphisms between diagrams, which… 
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