Trinh @ Bath

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A Summer of Mathematical Hydrology (2026)

This summer, we have a few students joining us on summer research projects. I will update this page with any relevant information.

Software

  1. For now, our current chat app to stay organised will be Microsoft Teams. We may change this dependent on how difficult/easy the experience is. You should be getting an invitation to join the group.
  2. Please get a copy of Zotero, which will help you stay organised in your reading. There is a Mathematical Hydrology Group where I will link papers and books and other things. Please see if you can access this and also send me your Zotero email and I will be able to add you as a member.
  3. Please see if you can obtain a copy of Matlab. This is available to Bath students. If you are external and don't have access please get in touch.
  4. We may get a copy of Python installed on your computer, but let us see.

Initial background reading

It can be quite difficult to get a great introduction to rainfall-runoff modelling that's both short and also mathematical. To help your initial foray into this area, I want to highlight only three references. You will be able to find these in the Zotero group library under `Summer2026-Introductory`.

Mathias book

Simon Mathias' Chapter 20 of his new book: Mathias, S. A. (2024). Rainfall runoff modelling. In Hydraulics, hydrology and environmental engineering (pp. 447–478). Springer.

Chapter 20 covers an introduction to the basic model (though focussing on a special model known as the Probability Distributed Model). It is pitched at the audience of an undergraduate Engineering course (actually this is delivered as a fourth-year or MSc-level year), but it is generally not too sophisticated and can be understood with some help. I like how there is a little Matlab script to try.