Cheg 258 - Lecture Notes - April 4, 2001

Announcements

• There is no homework assigned today. Good luck on the exam next Wednesday!
  
  
• As was discussed last Friday, in view of your test in Thermo this week the problem due today (problem 25) has been cancelled. You need to run the solution, however, to see how regression, quadrature, and error propagation all combine to solve a practical problem!

Class notes

The main points of the lecture were

• Adaptive quadrature

Goals:

• Know when to use an adaptive quadrature routine.
• Integrate functions on semi-infinite and infinite domains by mapping or truncation.

Reading

• The class notes and Chapter 5 of Kahaner and Chapter 11 of Recktenwald.

Questions of the Day

• How would you implement an adaptive quadrature routine with the Gauss- Kronod rules?
• Will the mapping [0,inf] - > [0,1] via the transformation x = - log(t) be a good one for all functions being integrated over a semi-infinite domain? What other mappings are there?

Matlab Example Codes

example 27