Questions tagged [education]

Referring to matters of learning/teaching computational science

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56 votes
7 answers
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What core skills should every computational scientist have? [closed]

Every scientist needs to know a bit about statistics: what correlation means, what a confidence interval is, and so on. Similarly, every scientist ought to know a bit about computing: the question is, ...
48 votes
7 answers
6k views

Is algorithmic analysis by flop-counting obsolete?

In my numerical analysis courses, I learned to analyze the efficiency of algorithms by counting the number of floating-point operations (flops) they require, relative to the size of the problem. For ...
David Ketcheson's user avatar
16 votes
7 answers
1k views

Does Computational Science involve programming?

I read about computational science on Wikipedia, but my understanding is not very clear. Does computational science involve programming? How different is computational science from computational ...
Sheryl's user avatar
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17 votes
8 answers
2k views

Is there any open-source or easy-to-access software that can simplify algebraic expressions like $x^{2}+2x+3, x=\sqrt{2}t-1$?

I always calculate things by hand, but now my comrades are getting nasty and making a lot of repetitive exercises involving just plugging things in like the expression above. I am particularly ...
user avatar
9 votes
1 answer
434 views

Easily understandable argument that normal Runge–Kutta methods cannot be generalised to SDEs?

A naïve approach to solving stochastic differential equations (SDEs) would be: take a regular multi-step Runge–Kutta method, use a sufficiently fine discretisation of the underlying Wiener process, ...
Wrzlprmft's user avatar
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8 votes
2 answers
6k views

simple MHD simulation code for (self) education and play with

I would like some super simple computational code for solving magnetohydrodynamics problems. High accuracy nor performance is not my concern. I wan't it just to visually explore qualitative behavior ...
Prokop Hapala's user avatar
5 votes
5 answers
1k views

Introductions to hp-FEM

do you know good introductions into or surveys $hp$-adaptive finite elements? In particular I do not know how the heuristics for choosing spatial refinement or increased polynomial degree are ...
shuhalo's user avatar
  • 3,660