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3 votes

inverse problem of predicting parameters of ODEs driven by data

The problem of finding coefficients $a,b,c,d$ from the trajectory $v(u)$ is ill posed, it is not solvable. For the linear system of homogeneous equations with constant coefficients, $ \frac{d}{dt} \...
Maxim Umansky's user avatar
3 votes

inverse problem of predicting parameters of ODEs driven by data

$\DeclareMathOperator*{\argmin}{argmin}$ Before you try to solve the inverse problem, you have to address an issue of identifiability. That is, from the observations along $v(u)$, it is impossible to ...
whpowell96's user avatar
  • 2,636
2 votes
Accepted

Using Sundials CVODE in MATLAB

There is a now a new way to call CVODE from within matlab, fairly seamlessly, from v2024a onwards. See this blog entry for the new syntax: https://blogs.mathworks.com/matlab/2024/04/17/faster-ordinary-...
mirams's user avatar
  • 468
1 vote

inverse problem of predicting parameters of ODEs driven by data

This is a well studied problem with relatively good solvers. That said, there are about a million different methods and which ones work depend on lots of complicated details. For an example of how to ...
Oscar Smith's user avatar

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