I am a master student in Mathematics, and I have to prepare a seminar for a course in mathematical methods for applied sciences. I have a good background in numerical analysis for ODEs, PDEs and hence I also would like to run some simulations in Python. I also have some experience with standard numerical methods for SDEs.
The topic of such a talk could be
- a chapter from classical Murray's books, so maybe some biological models, but that is of course not mandatory.
- I also thought to search for some articles like this one from SIAM, but honestly I'm pretty open to other possibilities.
- something that can be modeled by some ODEs that are also "hard" to solve (stiffness) or something that has some properties and one wants the numerical solution to satisfy such a property.
Of course, I do not want the level to be too low, but nor to high, since I'm still a student.