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Julia package for solving singular integral equations

Results 48 SingularIntegralEquations.jl issues
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These versions should be compatible, as the breaking changes only impacts `ApproxFun.jl`

This addresses https://github.com/JuliaApproximation/SingularIntegralEquations.jl/issues/152 by correcting calls of `domain(f::AbstractVector)` to `domain(S::Space)` in `hilbert(S::Space{1/(1+z^2),PeriodicLine()) hilbertF = z-> -z/(1+z^2) z = pi @test hilbert(F,z) ≈ hilbertF(z) ```

On line 14 of [periodicline.jl](https://github.com/JuliaApproximation/SingularIntegralEquations.jl/blob/master/src/periodicline.jl) there appears to be a typo, leading to a call to domain(f::AbstractVector) which is not defined. ``` function hilbert(S::Space{

【@time φ0,∂u∂n=vec([0 ⨍;1 ⨍[G]]\Any[0.,uiΓ])】 works both for single and union domain in the Faraday’s cage example. However, error occurs with similar code【@time ∂u∂n=⨍[G]\uiΓ】using in example of Helmholtz equation: It is...

`SingularIntegral(S,0)` is _really_ different than `SingularIntegral(S,1)`: it's real valued, is not `(x-z)^0`, etc. I think `LogKernel` and `SingularIntegral` should be different types.

``` julia> D = Interval(-2,-1), Interval(1,2); S = JacobiWeight(-0.5,-0.5, Chebyshev(D[1])) ∪ JacobiWeight(-0.5,-0.5, Chebyshev(D[2])) μ = [ DefiniteIntegral(component(S,1)); DefiniteIntegral(component(S,2)); real(Hilbert(S)) ] \ [-0.5;1;0] @show sum(components(μ)[1]) @show sum(components(μ)[2]) ; sum((components(μ))[1]) = -5.505172187825942e15...

I'm trying to compute the equilibrium measure of a positive charge supported on `[1,2]` and a negative charge on `(-∞,0]`. I believe the following code should work, but it doesn't....

Hello,sir. When I run the example of Lapalace.jl: cr = exp.(im*2π*(0:N-1)/N) crl = (1-2im*r)cr crr = (1+2im*r)cr dom = ∪(Segment.(crl,crr)) sp = Space(dom) MethodError: no method matching Space(::Array{Segment{Complex{Float64}},1}) Closest candidates...

Under Julia v1.0.1 with SingularIntegralEquations.jl v0.4.0, every time when I start a new Julia session and run ```using SingularIntegralEquations```, it forces to precompile the package even though there is no...

I get this warning on Julia 0.7 and 1.0 ``` ┌ Warning: Package SingularIntegralEquations does not have Random in its dependencies: │ - If you have SingularIntegralEquations checked out for...