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document in equations what problem fastpm solves, how, and what I/O? #16

@ahbarnett

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@ahbarnett

Dear Yu Feng,

I hope you're well (you'll remember chatting a year ago).
I'm just posting a request for documentation of what exactly fastpm computes. I cannot find it in
https://arxiv.org/pdf/1603.00476.pdf
In other words, what are the inputs (locations and velocities of particles? grid or timestepping parameters?) and outputs, and precisely what set of equations is solved, and by what method?
Even an introductory summary would be useful; equations are the best.
As an example, for our FINUFFT
https://finufft.readthedocs.io/
package we describe precisely what the inputs are and the outputs: formulae, tolerance achieved, how the run-time scales with the problem size, etc. Without something similar, it's hard for anyone outside the cosmo community to figure out what it does or how to use it :)

Thanks so much, Alex

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