Total vs partial derivatives
Рет қаралды 5,750
Күн бұрынPartial derivatives involve only individual components. Total derivatives are the derivatives of an objective or constraint with respect to design variables.
0:00 - Intro
0:40 - What are partial derivatives?
1:40 - What are total derivatives?
2:44 - Totals can be computed from a mix of partials
5:32 - Conclusion
Accompanying course page:
openmdao.github.io/PracticalM...
TODO: add linked lectures as they're developed
@brickie9816 6 ай бұрын
your intro just earned you a sub right of the bat
@AeroStark 9 ай бұрын
How would you recommend developing these partials and handing them over to OpenMDAO? Would you suggest a symbolci python package to compute them? Equally, I have run a few loops in OpenMDAO without informing the partials at all, and it still solves the problem. Is it developing partials for me automatically? Thanks!
@OpenMDAO 5 ай бұрын
Hey, sorry for the delay! You could absolutely use a symbolic tool to get the derivatives, or recently we've had good success with the tool Jax. Without seeing your model, I'm not certain about the details. You might've been using finite difference approximated derivatives, which OpenMDAO can compute, but that's not the default. Alternatively, maybe the problem appeared to solve correctly but actually didn't converge to the right answer.
@AeroStark 5 ай бұрын
@OpenMDAO Do you have any suggestions for adjoint solver tools? And what is the default partials method withing OpenMDAO? I do not recall telling my model to use FD
@OpenMDAO 5 ай бұрын
@@AeroStark What sort of adjoint solver tools are you looking for? OpenMDAO can combine the partials in both the forward (direct) and reverse (adjoint) modes. If you're talking about linear system solvers, OpenMDAO works with a few. If you're talking about defining partial derivatives, check out Jax or similar AD tools. The default behavior for partials if not defined is that they are 0. Here's more info about approximating partials: openmdao.org/newdocs/versions/latest/features/core_features/working_with_derivatives/approximating_partial_derivatives.html
@jameskingcodes 2 күн бұрын
This is an ad
@scar-kq3cl 7 ай бұрын
your intro is cringe
@a_0vi 3 ай бұрын
not cringe... but it surely scared the hell out of me for a sec!
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