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a note on numerically unstable algorithm

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Q: What you mean by numerically unstable algorithm?
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Numerically means in numbers. It comes from numerus, the Latin for number.


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Use a sorting algorithm. There are a bewildering number of sorting algorithms, both stable and unstable. To sort numbers, an unstable sort suffices. The algorithm you use will depend on how many numbers need to be sorted (a small or a large set), however a hybrid algorithm (a combination of two or more algorithms) can cater for both. Introsort (unstable) and timsort (stable) are the two most common hybrid sorting algorithms.


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The main advantage of the Euler method is that it's one of, if not the most basic numerical method of numerically integrating ordinary differential equations. A downside however is that it can sometimes have a tendancy to be unstable unless you take stupidly small steps in the algorithm, in cases like this there are some other methods that work better.


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What does it mean if a slope is numerically a higher value than another slope


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