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Examples for using ApproFun.jl

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Hello. Do you currently have support for the heat equation with non-constant coefficients? ```math \frac{\partial u}{\partial t} = \frac{\partial}{\partial x} \left( k(x) \frac{\partial u}{\partial x} \right), ``` or, alternatively, ```math...

I was inspired by https://github.com/FourierFlows/FourierFlows.jl, in particular the example they have (https://github.com/FourierFlows/FourierFlows.jl/blob/master/examples/OneDShallowWaterGeostrophicAdjustment.jl) that gets run as part of the documentation stage in GitHub Actions in every commit. The very nice...

in Blasius and Falkner-Skan.jl `f = (u)->(2.0*D^3*u + 3*u*D^2*u)` `df = (u)->(2.0*D^3 + u*D^2 + D^2*u)` Shouldn't it be `df = (u)->(6.0*D^2 + D^2*u + 2*u*D*u)` Other thing is, `global...

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) @time u = \([Dirichlet(d);Δ+100I], [ones(∂(d));0]; tolerance=1E-5) plot(u) ``` gives ```julia MethodError: no method matching...