Check time-varying $r$

[jlperla]

Want the $r$ to change smoothly.

Check for some interior set of the $x$ values (e.g i in the middle half of the statespace). FInd the
$$
\max_{1/4 I < i < 3/4 I}{v^{n+1}_i - v^n}
$$
and see how that number changes with $n$

[sevhou]

I tried for time varying $u$ function, the value $\max_{n,i} v_{i}^{1}-v_{i}^{n}=7.4$, with tgrid 0 to 1, zgrid from 0.1 to 3, it's a strictly increasing function on t dimension.

[jlperla]

Are there any odd discontinuities on the final few points? Play around with this, maybe even doing a 3D plot of the value function over time. You should be able to do that we a `reshape` command in matlab, and then `surf` or something like that.

…

On Mon, Dec 11, 2017 at 3:03 PM sevhou ***@***.***> wrote: I tried for time varying $u$ function, the value $\max_{n,i} v_{i}^{1}-v_{i}^{n}=7.4$, with tgrid 0 to 1, zgrid from 0.1 to 3, it's a strictly increasing function on t dimension. — You are receiving this because you authored the thread. Reply to this email directly, view it on GitHub <#36 (comment)>, or mute the thread <https://github.com/notifications/unsubscribe-auth/AMf-ITMYxmaPtgwXJEgyhJDsSGn8eDuaks5s_bTegaJpZM4Q-JWy> .

[sevhou]

Yeah I've done that and also plot some 2-D graphs and check along t dimension and z dimension, I think it behaves smoothly.

[jlperla]

OK. Keep all of the code in the tests for later comparison. If things seem to be smooth for both the $r$ and the $u$ changes, that is good news. Make sure you are looking at examples where the changes are cranked up to be large enough to see relatively large swings.

…

On Mon, Dec 11, 2017 at 3:16 PM sevhou ***@***.***> wrote: Yeah I've done that and also plot some 2-D graphs and check along t dimension and z dimension, I think it behaves smoothly. — You are receiving this because you authored the thread. Reply to this email directly, view it on GitHub <#36 (comment)>, or mute the thread <https://github.com/notifications/unsubscribe-auth/AMf-ISncdTZjgs5x1nMwVnpniUk3pky3ks5s_bffgaJpZM4Q-JWy> .