I am reading some papers on numerical algorithms for simulation of plasma in the context of nuclear fusion in a tokamak. I am getting a little lost as there is a huge number of references, and it is difficult to actually know what kind of algorithms are being used now for such simulations.
In a more specific sense, my question is: on which timescale is the numerical error from the current best algorithms acceptable? Can we accurately simulate a tokamak on timescales comparable to those of the actual experiments? If so, when do the current algorithms start to break down?
Any help would be much appreciated.