Here are some interesting questions. If you have some ideas or comments, please do not hesitate to let me know by reaching me at firstname.lastname@example.org. Thanks very much!
- Could we get a positive preserving model? i.e. Could we make sure that all the variables in an mathematical model has an analytical solution which lies in the physically meaningful domain?
- How could we measure the model error? i.e. How could we know that the model we created initially could describe the physical phenomena, before we do numerical experiments?