Basic HTML version of Foils prepared February 25 2000

Foil 19 Runge-Kutta Methods: Modified Euler I

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox
In the Runge Kutta methods, one uses intermediate values to calculate such midpoint derivatives
Key idea is that use an approximation for X(ti+0.5*h) as this is an argument of f which is multiplied by h. Thus error is (at least) one factor of h better than approximation
So if one wishes just to do one factor of h better than Euler, one can use Euler to estimate value of X(ti+0.5*h)

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