ODE Wishlist

[pnkraemer]

The following ODE problems would be great to have. (This issue will keep being edited.)

Initial value problems

• IVP: Brusselator:
  • IVP: 1d Brusselator #82
  • IVP: 2d Brusselator #83
• IVP: Discretised PDE
  • IVP: Discretised heat equation #84
  • IVP: Discretised wave equation #85
  • IVP: Discretised FitzHugh-Nagumo model #86
• IVP: Oregonator #87
• IVP: Pollution #88
• IVP: Henon-Heiles #89
• IVP: Thomas attractor (https://en.wikipedia.org/wiki/Thomas%27_cyclically_symmetric_attractor) #90
• IVP: Rössler attractor #91
• IVP: Glucose uptake in yeast #92
• IVP: Aizawa (https://journals.ametsoc.org/view/journals/atsc/20/2/1520-0469_1963_020_0130_dnf_2_0_co_2.xml) #93
• IVP: Dadras (https://www.sciencedirect.com/science/article/abs/pii/S0375960109009591) #94
• IVP: Chen (https://www.worldscientific.com/doi/abs/10.1142/S0218127499001024) #95
• IVP: Rabinovich-Fabrikant (https://en.wikipedia.org/wiki/Rabinovich%E2%80%93Fabrikant_equations) #96
• IVP: Sprott (http://sprott.physics.wisc.edu/pubs/paper423.pdf) #97
• IVP: Hindmarsh-Rose (https://en.wikipedia.org/wiki/Hindmarsh%E2%80%93Rose_model) #98
• IVP: A simple Neural ODE example (maybe http://implicit-layers-tutorial.org/neural_odes/) #99

[pnkraemer]

W. Gilpin has done an AMAZING job at tracking down references for many ODE problems: Supplement 6 in https://arxiv.org/pdf/2110.05266.pdf

[pnkraemer]

Acknowledgements to https://diffeq.sciml.ai/stable/types/ode_types/ for providing an already quite large problem collection that serves as a starting point.