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Julia package for function approximation

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Hi, I am Jürgen Fuhrmann from Weierstrass Institute Berlin, and the author of VoronoiFVM.jl I would like to propose a minisymposium for JuliaCon in July which "collects" people interested in...

Creating piecewise-defined functions silently gives you the wrong result. For example: ``` using ApproxFun f(z) = z < 1/2 ? 4z : 4 * (1 - z) d = Interval(0.0,...

I read from the documentation that product of 1D space is interlaced with lexigraphical order. However, when I try to test this, I get the following order: ```julia using ApproxFun...

I probably shouldn't be doing this like this but I'm trying to create a polynomial with complex coefficients: ```jl julia> x = Fun(identity, (-100)..100) Fun(Chebyshev(-100..100),[0.0, 100.0]) julia> f = im*x...

```jl julia> x = Fun(identity, big(-100)..100) Fun(Chebyshev(-100..100),BigFloat[0.0, 100.0]) julia> complexroots(x^2 + 2x) ERROR: MethodError: no method matching eigvals!(::Array{BigFloat,2}) ``` I think there are routines in https://github.com/JuliaLinearAlgebra/GenericLinearAlgebra.jl that can handle this?

The readme example https://github.com/JuliaApproximation/ApproxFun.jl#sampling is very slow, taking several minutes on my i5 laptop. The output is also now different from the readme figure. Running ```julia f = abs(Fun(sin, -5..5))...

I encountered a very peculiar problem, which I also reported at https://github.com/JuliaCI/BaseBenchmarks.jl/issues/253. If I run some benchmark tests provided by `BaseBenchmarks.jl` and if I also run `using ApproxFun`, I get...

```julia (v1.2) pkg> status Status `~/.julia/environments/v1.2/Project.toml` [28f2ccd6] ApproxFun v0.11.5 [aae01518] BandedMatrices v0.10.1 [12aac903] BinaryBuilder v0.1.4 [b99e7846] BinaryProvider v0.5.6 [7a1cc6ca] FFTW v0.3.0 [057dd010] FastTransforms v0.5.0 [276daf66] SpecialFunctions v0.7.2 [8dfed614] Test julia>...

I think synthesis and analysis are harder to mistake than always remembering "Transform Is Vals-To-Coeffs" via mnemonic such as "The Internet's Vexatious Troubles Compound." If transform is short for linear...

if we have f = abs(sin(5x))^3 we get a union of domains. If we have g = abs(sin(5x)^3), we get a PiecewiseSegment domain. abs(f) fails because "ERROR: ArgumentError: Domain cannot...