October 7, 2004 --- Class 12 --- Higher Order Algorithms

Activities:

	Higher order algorithms

		We talked about several algorithms including leap frog
		Adams-Bashforth and Runge-Kutta.  Euler-Richardson is
		basically the 2nd order Runge-Kutta algorithm.  We also
		talked about the 4th order Runge-Kutta algorithm.  Many of
		these algorithms are presented in Appendix 5A of Chapter 5.
		On page 128.  There are two typos in the book regarding
		the 4th order R-K algorithm.  In Eq. (5.59a), the right-hand-
		side should be multiplied by Delta t.  In Eq. (5.59b), k_3x
		on the RHS should be k_3v
		
		You may also find more about these algorithms in "Numerical
		Analysis" by Burden and Faires, or "Numerical Recipes" by
		Press et al.
		
		If you missed class and did not get the handout, please come to
		my office to get one.