Basic HTML version of Foils prepared February 25 2000

Foil 18 What's wrong with Euler's Method?

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox
To extrapolate from ti to ti+1 one should obviously best use (if just a straight line) the average slope (of tangent) and NOT the value at start
This immediately gives an error smaller by factor h but isn't trivial because you don't seem to know f(ti+0.5*h,X(ti+0.5*h))

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