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Foil 17 Approximate solutions of the ODE for et at t=1, using modified Euler's method with different values of h

From CPS615-Discussion of Ordinary Differential Equations and Start of Parallel N-Body Algorithm Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 10 October 96. by Geoffrey C. Fox *
Secs 252
Note global error is now O(h2) and we get an error of O(10-5) after 128 iterations which would take about 1000 more iterations for Euler's method to achieve
So Euler has roughly half the computational effort per iteration but requires the square of the number of iterations

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