I'm not sure if this is the right place to ask, but:
I'm a final year undergraduate maths student, and I'm soon to begin a project based on some paper or some topic of interest to me. I haven't been able to come up with a project title thus far.
My request is: could someone direct me to some papers/articles that I could study in detail and maybe base my project on? I've taken two separate numerical methods modules and enjoyed both of them, so I'd like to do it on something out of this area. Specifically, I'd be interested in:
higher order RK-methods for solving ODEs
numerical methods for solving PDEs in $2, 3, 4$ dimensions
methods for estimating eigenvalues of large matrices
Newton's method in higher dimensions
Thanks in advance.