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Dear Mikael,
I'm constructing a decoupling algorithm for a Cahn-Hilliard Navier-Stokes system.
$$
\phi_t + \nabla\cdot({\bf u}\phi) = M \Delta \mu,$$
$$
\mu = \lambda(-\Delta \phi) + f(\phi))…
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I am moving this over here from the [Discourse](https://discourse.julialang.org/t/neuralpde-jl-how-to-use-random-noise-as-the-initial-condition/74723/3) as per Chris's request. A short summary is belo…
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running Helmholtz rectangle PDE example on this page
https://github.com/JuliaApproximation/ApproxFunExamples/blob/master/PDEs/Rectangle%20PDEs.ipynb
```julia
d = (-1.0..1.0)^2
Δ = Laplacian(d…
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Hello,
Thanks for writing and sharing FastSphericalHarmonics. I am trying to use it to solve some PDEs on the sphere but have problems with the eth/ethbar operators for scalars. For example :
`…
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I have been confused about the parameter estimation of differential equation parameters here for a while now.
I think the current formulation of the problem is suboptimal. The loss function only …
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Can we allow complex numbers? Example:
```
RobinBC( (0.5+0im,0.5*im, 1.0+0im), (0.5+0im,0.5*im, 0.0+0im), 1.0)
ERROR: LoadError: MethodError: no method matching RobinBC(::Tuple{Complex{Float64},C…
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The following code:
```
A = sprand(3000,3000,0.2);
x0 = rand(3000,1);
F = @(x) diag(x.^2)*A*x;
J_ad = AutoDiffJacobian(F, x0);
```
does not work. Error message is:
```
Requested 9000000x900…
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This issue is for more of an API discussion before I dig in to implement PINO PDE. Here I provide examples of supposed API for Physics Informed Neural operator (PINO) problem.
articles
https://…
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## I want to ask if you think you can use PINN to solve this problem.
We will solve a simple ODE system:
$$ {\frac{dV}{dt}}=10- {G_{Na}m^3h(V-50)} - {G_{K}n^4(V+77)} - {G_{L}(V+54.387)}$$
$${…
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This is taken from #163 in order to get that meta ticket cleaned up:
In http://book.xogeny.com/components/subsystems/heat_transfer/
- [ ] could a real example be added to help comprehension, for inst…