HTML version of Scripted Foils prepared 28 December 1996

Foil 24 Comparison of Explicit and Implicit Methods

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 331.2
1 Adams-Bashforth fourth-order explicit method (4 step)
2 Adams-Moulton fourth order method (3 step) is an implicit Multistep method
3 Note coefficient of implicit method is a factor of 251/19 smaller than explicit method of same order -- this is why extrapolation is not so good!
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