I think my question was badly formulated. When solving the equation above, 
I get 2d-slices for every step, which are then assembled to a 3d-model in 
z-direction. Is something similar possible with dealII, or do I have to use 
external programs for that?
And yes, the same can be done with time instead of z as position.

Am Dienstag, 22. August 2017 17:19:23 UTC+2 schrieb Daniel Arndt:
>
> Maxi,
>
> Is it possible to solve not only time-, but also space-dependent equations 
>> in dealII? As example the nonlinear schrödinger equation:
>> \partial_z U = i(\partial_x^2+\partial_y^2) U
>> with U=U(x, y, z) and U_0=U(x, y, 0)? As far as I know until now, all the 
>> equations are based on time, but stationary in space.
>>
> What exactly do you mean by "stationary in space"? The interpretation of 
> derivatives is totally up to you.
> What is the difference between the equation above and the instationary 
> equation
>   \partial_t U = i(\partial_x^2+\partial_y^2) U
> U=U(x,y,t) and U=0(x,y,0) you are considering in 
> https://groups.google.com/forum/#!topic/dealii/1RQE2TpZT9I ?
>
> Best,
> Daniel
>

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