Pkg.add("ApproxFun") did not give me v0.0.5 for some reason
$ git tag
v0.0.1
v0.0.2
v0.0.3
v0.0.4
So your first examples failed. But, this is very impressive!
--John
On Wednesday, December 31, 2014 4:54:06 AM UTC+1, Sheehan Olver wrote:
>
>
> ApproxFun is a package for approximating functions and solving
> differential equations. ApproxFun v0.05 adds support for piecewise and
> singular functions. For example, we can sample a function with semicircle
> or other Jacobi singularities:
>
> x=Fun(identity,[-1,1])
> sample(exp(x)*sqrt(1-x^2),100)
> sample((1-x)^0.123/(1+x)^0.567,100)
>
>
> Or integrate the absolute value of sin:
>
> x=Fun(identity,[-5,5])
> sum(abs(sin(x)))
>
>
> Or even solve PDEs with discontinuous coefficients. Other improvements
> include 2-5x faster ODE solving, so that now an ODE requiring a million
> unknowns can be solved in one second, and preliminary support for high
> precision functions.
>
> Thanks go to Gustavo Goretkin (MIT) and Mikael Slevinsky (Oxford) for many
> contributions!
>
> Note: Julia v0.4 is not supported due to issue #9378
>
