1
$\begingroup$

I am looking for a procedure with Mathematica where one can discretize a function in a specific interval to a set of multidimensional vectors. In this way, we can possibly ease the calculation time required to work with these long functions. All I could find on Mathematica is https://reference.wolfram.com/language/ref/DiscretizeRegion.html but this is not relevant.

To get an idea of the complexity of these functions, the functions are shown here

https://www.wolframcloud.com/obj/2abadd04-3d65-4f29-bd8c-e847f1607ef4

Thanks

Improve this question
$\endgroup$
3
  • 2
    $\begingroup$ You could use 'Table' to sample the function at regular intervals. Something like 'Table[{x,d[x]},{x,-1,1,inc}]' . The issue would be to choose a value for inc that is small enough for what you need. This is related to the highest frequency of interest in your time history. Am I along the correct lines? After sampling then you could use 'Partition' to seperete into subintervals. $\endgroup$
    – Hugh
    May 17 at 11:52
  • $\begingroup$ I believe you're looking for the term "interpolation" instead of "discretization", perhaps? $\endgroup$
    – Michael E2
    May 17 at 14:10
  • $\begingroup$ @Hugh, exactly. This is what I was looking for... The aim is to find a minima between the discretized functions there, and another set of related discretized functions. Then use these minima to solve the system of equations that give a Gaussian function with 4 unknowns. $\endgroup$
    – Vangsnes
    May 17 at 16:04

1 Answer 1

Reset to default
1
$\begingroup$

This is one way to do it:

fi = FunctionInterpolation[g[x], {x, -3, 3}]
Plot[fi[x], {x, -3, 3}]
Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.

Not the answer you're looking for? Browse other questions tagged or ask your own question.