Beautiful astro seminar by Leslie Greengard (NYU) who is the author of fast multipole method, and various machine-precision methods for electromagnetism and gravity. He spoke about solving equations related to scattering in velocity space in plasma physics experiments. His method gets close to machine precision by converting some of the equations into integral equations and then solving the hard part numerically with expansions. Afterwards, we ended up having a discussion of the solution of linear differential equations under non-trivial boundary conditions, which took me back to undergrad.
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