are there numerical mehtods or similar to obtain highly oscillatory solutions ?(adsbygoogle = window.adsbygoogle || []).push({});

i mean, given the solution to a certain differential equation

[tex] y(x)= (x^{1/2}+1)sin(10000000000000x) [/tex]

could it be 'detected' by the numerical method used, for example when you get the solution you would see a highly oscillating part , due to the frequency being very very high.

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# HIghly oscillatory solutions

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