Basic HTML version of Foils prepared 22 February 1998

Foil 49 Data Parallel Parallel Execution Time -II

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- 1998 Enhancements. by Geoffrey C. Fox
Then the total time for the Runge-Kutta solver is:
Giving O(N2/Nproc) running time in the number of particles.
Note that parallel overhead or communication time/computation time is proportional to 1/n where n = N/Nproc is grain size.
Note this algorithm has an overhead characteristic of a one dimensional problem for
  • overhead goes like (1/n)1/d in d dimensions -- which is edge over area -- giving 1/n for d=1

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