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1d
revised Finding $P(X < Y)$ where $X$ and $Y$ are independent uniform random variables
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1d
answered Finding $P(X < Y)$ where $X$ and $Y$ are independent uniform random variables
Jul
19
comment Issues with finite-difference implicit solution of Advection-Diffusion-Reaction eqn
Sadly, I can't run your code (even though numpy is installed) due to TypeError: gradient() got an unexpected keyword argument 'edge_order' .
Jul
19
comment Issues with finite-difference implicit solution of Advection-Diffusion-Reaction eqn
I can't access your code, but I requested authorization. It would be nice to see how you discretized $\partial_t u$ and $\nabla u$ and $\Delta u$.
Jul
19
comment Issues with finite-difference implicit solution of Advection-Diffusion-Reaction eqn
Do you use Upwind for your advection term?
Jul
8
comment Is there any method that convert a concave problem into convex problem?
Hey Tina, I edited your question, maybe you could make sure that the form of $f_2$ is still correct.
Jul
8
revised Is there any method that convert a concave problem into convex problem?
Latex introduced
Jul
7
comment Help with greens function/fourier transformation to solve screened poisson equation
That would be perfekt, my problem however is actually related to the fractional situation where I have $k^\alpha+\lambda^2$, but I would like to understand the integer case first. Thanks
Jul
7
comment Help with greens function/fourier transformation to solve screened poisson equation
I know, that this answer is more than 2 years old, but do you happen to know the steps taken from the second last equation to the last equation? Wikipedia states that this can be done by Contour Integratiion, but I fail to see how.
Jun
23
accepted Derive diffusion coefficient for heat equation from random walk simulation
Jun
23
comment Derive diffusion coefficient for heat equation from random walk simulation
Okay the problem in fitting the gaussian to my computed density was in the fact, that my cells over which I counted the number of particles where not of unit size, so my solution was rescaled. Fixing this also gave me your suggested diffusion coefficient of $\sigma/2)$.
Jun
23
comment Derive diffusion coefficient for heat equation from random walk simulation
In my code, I don't really invoke $\Delta t$. Timesteps correspond to loop iterations. I will update my question with the least square fitting which looks like I'm still doing something wrong
Jun
23
comment Derive diffusion coefficient for heat equation from random walk simulation
And I would use unit time, i.e. $T=$Number of Time steps?
Jun
23
comment Derive diffusion coefficient for heat equation from random walk simulation
Thank you very much. I assume, $\sigma$=stdv. Can you verify, if the Green's function I assume is correct?
Jun
23
asked Derive diffusion coefficient for heat equation from random walk simulation
Jun
17
revised Mathematical formulation for equation in a loop
added 79 characters in body
Jun
17
comment Mathematical formulation for equation in a loop
Yeah, I'm sorry for the confusing notation with the indices. Of course for $g$ and $f$ the superscript denotes the $i$th or $k$th $f$ and $g$, respectively. For $\alpha$, the superscript denotes the power. I will edit the answer and replace the superscripts for $f$ and $g$ by subscripts.
Jun
17
answered Mathematical formulation for equation in a loop
Jun
17
comment Mathematical formulation for equation in a loop
You give a way to compute $f^i=\alpha...$ but not for $g^i$, that is what would help.
Jun
17
comment what are stability analysis of numerical methods
You definitely have to reformulate your answer. Provide more details and put in some effort and people will be glad to help you.