[ET Trac] #2282: gallery examples use low-order integration n Multipole

#2282: gallery examples use low-order integration n Multipole

Reporter: Roland Haas Status: open Milestone: Version: Type: enhancement Priority: minor Component: EinsteinToolkit website

Comment (by Zach Etienne):

The midpoint rule yields errors that scale with the square of the grid spacing; that is, for sufficiently smooth functions, the error should decrease proportionally to 1/n^2, where n is the number of intervals. See, e.g., [https://en.wikipedia.org/wiki/Riemann%5C_sum%5D(https://en.wikipedia.org/wik...) .

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There are higher order midpoint rules, but they require n to be divisible by e.g., 4.

-- Ticket URL: https://bitbucket.org/einsteintoolkit/tickets/issues/2282/gallery-examples-u...