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I have a random spherical distribution of N charges between radiuses

R1 and R2. N is up to 10^9 or more.I want to calculate the

electrostatic potential closed to the origin of the sphere. R1 and R2

are much bigger than the distance of this point to the origin. So I

thought about using the multipole expansion to calculate the

potential, because it is supposed to reduce the Tcpu a lot, mainly

because in this approach Tcpu proportional to N, and in explicit

electrostatical potential calculation Tcpu proportional to N^2. So,

could you recommendme references in good books or papers or weblinks

with examples of similar calculations ?

Thanks

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# Homework Help: Spherical layer charge distribution and multipole expansion

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