Luke, I finished my Masters' Thesis work this past spring working with a C++ simulation for fusion plasma physics applications - during most of that time, I was clenching my teeth wishing I was allowed to use Julia instead. If you want any help with your Fusion Plasma Physics toolbox, ping me (@tlycken) on Github and I'll jump in where I can :)
// T On Thursday, September 17, 2015 at 8:17:45 AM UTC+2, Sheehan Olver wrote: > > On what kind of domain? > > > On 17 Sep 2015, at 12:07 pm, Luke Stagner <[email protected] > <javascript:>> wrote: > > It's actually a 2D non-linear, elliptic PDE (psi is a function of R,Z). > I'm thinking about created a Julia library for fusion/plasma physics and > the ability to quickly calculate magnetic equilibrium would be a killer > feature. > > > On Wednesday, September 16, 2015 at 6:46:09 PM UTC-7, Sheehan Olver wrote: >> >> >> I’m having trouble reading the formulae, but I guess its a nonlinear PDE >> in 3D? Right now the package can only do nonlinear ODEs and linear PDEs >> on rectangles and disks. We’ll hopefully eventually extend it to nonlinear >> PDEs, and 3D PDEs. >> >> >> >> >> >> On 17 Sep 2015, at 11:40 am, Luke Stagner <[email protected]> wrote: >> >> Can this package be used to solve the Grad-Shafranov equation >> <https://en.wikipedia.org/wiki/Grad%E2%80%93Shafranov_equation>? >> >> >> On Wednesday, September 16, 2015 at 3:33:22 PM UTC-7, Sheehan Olver wrote: >>> >>> >>> ApproxFun is a package for approximating and solving differential >>> equations. ApproxFun v0.0.8 Adds (experimental) support for solving >>> nonlinear ODEs, using Newton iteration and automatic differentiation. The >>> following example solves and plots a singularly perturbed nonlinear >>> two-point boundary value problem >>> >>> x=Fun() >>> u0=0.x # The initial guess for Newton iteration >>> >>> N=u->[u[-1.]-1.,u[1.]+0.5,0.001u''+6*(1-x^2)*u'+u^2-1.] >>> u=newton(N,u0) >>> >>> ApproxFun.plot(u) # Requires PyPlot or Gadfly >>> >>> >>> >>> Note: previous support for approximating functions on a disk has been >>> moved to a separate package: >>> >>> https://github.com/ApproxFun/DiskFun.jl >>> >>> And this will be the last version to support Julia 0.3! >>> >>> >> >
