11. Numerical Solutions of ODEs I

Local And Global Error — Quiz

Test your understanding of local and global error with 5 practice questions.

Practice Questions

Question 1

What does local truncation error measure for a one-step numerical method?

Question 2

A numerical method has local truncation error $O(h^3)$. What is its usual global error order?

Question 3

What is the local truncation error order of Euler's method?

Question 4

If a method has global error $E(h)=Ch$ for some constant $C$, what happens to the global error when the step size is changed from $h$ to $h/2$?

Question 5

Which statement best describes global error in a numerical ODE solution?