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Here's another way to get the correct result, using the mathematical property that `Log[z]==Log[Abs[z]]+I Arg[z]` In[]:= Im[Grad[Log[Exp[-I (x + z)]], {x, z}]] Out[]= {-1, -1} The problem is that `Grad` is trying to take the complex... |
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/d7b3e58f-bc39-4d23-8d1b-162b2e0127cd |
Numerically solved PDE of Ornstein–Uhlenbeck process on simplex violates conservation of probability Hi Cameron, I agree with you that your formulation of the problem and your PDEs look correct. If you plot your solution over time at one of the boundary points such as P(0,0,t), it looks like Mathematica is setting the boundary conditions to be... |
Love the update! Here's a colorful version right back at you! &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/5b0ec55a-8624-416b-932d-89fdb9ebe53a |
&[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/d8e3c5ec-e4d6-4b8b-855f-dcf0d09fa926 |
A few of my favorites: https://twitter.com/woodylewis/status/512763729922887681 https://twitter.com/wolframtap/status/513086262702796800 https://twitter.com/wolframtap/status/513098198261710848 ... |