- Repair those in-class Exam IIs for some credit back.
- Homework section 5.2, pp. 263--, Parts b of #1-4, 11, 12 (due
Friday, 12/11)
- If a problem (e.g. 1b and 2b) doesn't satisfy a Lipschitz constant on
, then we can take the following approach: use the given solution, find the max absolute value of the function on the time interval, and then obtain a Lipschitz constant for this (finite) convex region.
- If a problem (e.g. 1b and 2b) doesn't satisfy a Lipschitz constant on
- Quiz today, over 5.2.
- I'm distributing a short, straight-forward take-home portion of the final today (covering only chapter 5): it entails reproduction of tables from each of sections 5.3 and 5.4.
- It's time for course evaluations. Please take the time to visit eval.nku.edu, and give me your feedback. Thanks!
- section 5.3 summary
- Problems from section 5.3:
- Some
Mathematica, illustrating higher-order method
success
- As noted, we've solved a difference equation for
an approximation to y on a set of mesh points
ti. In the end, we may very well want a continous
approximation. How should one proceed? Hermite is good....
- Some
Mathematica, illustrating higher-order method
success
- section 5.4 summary
- Problems from section 5.4:
- Let's revisit our pendulum example, to compare RK-4 to
Euler on the Pendulum problem:
Here it is in lisp:
- Let's revisit our pendulum example, to compare RK-4 to
Euler on the Pendulum problem: