Crash Course in Scientific Computing

XXV. Fun Problems

Fun problems make great topics for graded projects. These are the ones we ran in our course:

• A simulation of infectious diseases (2020-2021).

Possible topics:

• Series acceleration - such as Aitken's delta-squared process or Richardson's extrapolation, as a problem per se or applied to other numerical techniques, e.g., to derive Steffensen's method.

• Super root-finding algorithms - like Brent's method which is robust and hybrid so a great topic of study for students.

• CORDIC algorithms to efficiently compute trigonometric functions, square roots and similar things with only basic bitwise arithmetic (see on Wikipedia).

Interactivity

https://stackoverflow.com/questions/58014289/inline-interactive-plots-with-julia-in-jupyter-notebook