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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
1 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
2 So Euler has roughly half the computational effort per iteration but requires the square of the number of iterations
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