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.