PDERoadmap
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SciML
A repository for the discussion of PDE tooling for scientific machine learning (SciML) and physics-informed machine learning
There is a specific example that we can implement in a paper immediately. Take the linear operator, ``` L = r I - L_diffusion ``` where ``` L_diffusion = mu(t)...
Prototype code for #33. The focus is on setting up the matrix-free operators for the generic `L*QB` route and come up with a mock user interface to create the operators,...
I think a great place to start on this is to clean up the https://github.com/JuliaDiffEq/PDERoadmap/blob/master/linear_operators_overview.tex document, fill in any necessary blanks, and remove any unnecessary garbage. Hopefully this is a...
In https://github.com/JuliaDiffEq/PDERoadmap/issues/4#issuecomment-412350446 , @dlfivefifty brings up the following PDE: `B*u= c` and `u_t = L*u + f` where `B` is a boundary operator, `L` is a linear operator, and `c,...
This issue isolates and continues discussions in https://github.com/JuliaDiffEq/DifferentialEquations.jl/issues/260 with @dlfivefifty and @ChrisRackauckas on a joint design of the interface for domains, etc. between the ApproxFun, DiffEqOperators, and ModelingToolkit libraries. We...
@MSeeker1340 @jlperla we should be clear on what to create now one thing for sure is that we should make it much easier to grab the N x N-2 stencils...
Put in a small document on boundary conditions in the main folder. To simplify: - Assume that the jump is always forwards, and it is a deterministic number. - define...
Hi, This project looks very ambitious, and potentially very useful for economics researchers. Thanks a lot for working on this. I just want to share something I have learned solving...
From discussion with @ChrisRackauckas We have `Q` which we are pretty sure work, but we needed to have a step for verifying them more generally. For adding to the document:...
I think an example of how this BC handling works for spectral operators would be a good thing to add to the writeup. Essentially, you can write out Dirichlet and...