= Numerical analysis
{wiki}
Techniques to get numerical approximations to numeric <mathematical> problems.
The entire field comes down to estimating the true values with a known error bound, and creating algorithms that make those error bounds asymptotically smaller.
Not the most beautiful field of pure <mathematics>, but fundamentally useful since we can't solve almost any <computational physics>[useful equation] without computers!
The solution visualizations can also provide valuable intuition however.
Important numerical analysis problems include solving:
* <partial differential equations>
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