HTML version of Scripted Foils prepared 28 December 1996

Foil 16 Runge-Kutta Methods: Modified Euler's method

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 269.2
1 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
2 Evaluates the derivative function twice at each time step. Global error - O(h2), second order method
3 Sometimes called the midpoint method

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