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== XXV. Fun Problems == | == XXV. Fun Problems == | ||
− | Fun problems make great topics for graded projects. | + | Fun problems make great topics for graded projects. These are the ones we ran in our course: |
− | + | * [[WLP_VI/InfectiousDiseases|A simulation of infectious diseases]] (2020-2021). | |
+ | Possible topics: | ||
+ | * [[Series acceleration]] - such as [https://en.wikipedia.org/wiki/Aitken%27s_delta-squared_process Aitken's delta-squared process] or [https://en.wikipedia.org/wiki/Richardson_extrapolation 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 [https://en.wikipedia.org/wiki/Brent%27s_method 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 [https://en.wikipedia.org/wiki/CORDIC on Wikipedia]). | ||
=== Interactivity === | === Interactivity === |
Fun problems make great topics for graded projects. These are the ones we ran in our course:
Possible topics:
https://stackoverflow.com/questions/58014289/inline-interactive-plots-with-julia-in-jupyter-notebook