Introductory slides SLIDES

Code examples: GitHub repo

Lecture notes: Link to heading

• Topic 1: Basics of neural networks, and how they are connected to dynamical systems SLIDES
• Topic 2: Revision of the basics of one-step methods for ODEs and introduction to geometric integration NOTES
• Why geometric numerical integration? NOTEBOOK TO FOLLOW ALONG
• Topic 3: Some differential equations with a structure worth preserving NOTES
• Topic 4: Numerical methods preserving first integrals NOTES
• Topic 5: Symplectic numerical methods NOTES
• Topic 6: Non-expansive numerical methods NOTES

Additional material: Link to heading

• My PhD Thesis where other methods are introduced and I focus on the applications to deep neural networks and data-driven modelling: PhD Thesis