pnkraemer / diffeqzoo Goto Github PK

Must have:

• A reference to the original paper (or whatever one can find)
• A description of what it models, and why it is interesting

Nice to have:

• Meanings of parameter names
• Maths
• Example usage of the function

For non-trivial boundary conditions, one cannot infer the dimension of the problem from the shape of the initial condition.

What do we do with one-dimensional problems? Implement them as scalars (0-dimensional arrays), 1-dimensional arrays, or both?

Mention the design choices somewhere (implementation as raw as possible even if it implies a slightly annoying API, implement in a way that makes it easy to use for benchmarks and papers, take second-order, non-autonomous, mass-matric, problems seriously, etc.)

https://github.com/williamgilpin/dysts

http://www.3d-meier.de/tut19/Seite1.html

Each IVP constructor should behave similarly (with problem-specific differences), and this should be explained in the module docstring of each collection.

• should it be a subpackage, with a more granular functionality? for BVPs, vector field conversion remains the same, but the function does not apply anymore.
• The jacobian conversion is incorrect. It does not convert the output appropriately.
• The functionality is not used anywhere (e.g., in the notebooks), so I have no idea how useful it is.
• Mark somewhere that it is very experimental (even more than the rest). Complete conversion is, in the end, something the user has to do.

https://docs.juliahub.com/GeometricProblems/4fHs6/0.1.1/

They also list a whole bunch of interesting problems.

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

Initial value problems

• IVP: Brusselator:
  • #82
  • #83
• IVP: Discretised PDE
  • #84
  • #85
  • #86
• #87
• #88
• #89
• #90
• #91
• #92
• #93
• #94
• #95
• #96
• #97
• #98
• #99

The notebooks are there and working, but

• use the old API (with namedtuple outputs)
• Have no text
• Are not rendered with plots in the docs

Would be great to give them some care