Basic HTML version of Foils prepared 14 October 1997

Foil 17 Runge-Kutta Methods: Modified Euler's method

From Fox Presentation Fall 1995 CPS615 Basic Simulation Track for Computational Science -- Fall Semester 95/96/97. by Nancy McCracken and Geoffrey C. Fox
Use the derivative at one time step to extrapolate the midpoint value - use midpoint derivative to extrapolate the function value at the next time step
Evaluates the derivative function twice at each time step. Global error - O(h2), second order method
Sometimes called the midpoint method

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