Basic HTML version of Foils prepared 22 February 1998

Foil 18 Approximate solutions of the ODE for et at t=1, using modified Euler's method with different values of h

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- 1998 Enhancements. by Geoffrey C. Fox


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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