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= Crash Course in Scientific Computing = | = Crash Course in Scientific Computing = | ||
| − | == XXV. Fun == | + | == XXV. Fun Problems == |
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| + | Fun problems make great topics for graded projects. These are the ones we ran in our course: | ||
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| + | * [[WLP_VI/InfectiousDiseases|A simulation of infectious diseases]] (2020-2021). | ||
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| + | Possible topics: | ||
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| + | * [[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. | ||
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| + | * [[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. | ||
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| + | * [[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]). | ||
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| + | === Interactivity === | ||
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| + | https://stackoverflow.com/questions/58014289/inline-interactive-plots-with-julia-in-jupyter-notebook | ||
{{WLP6}} | {{WLP6}} | ||
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