Chapter 5: Numerical Methods

Question 1

The ____ is a fixed-point iteration method that starts with one starting point, which at each iteration estimates the root.

Answer 1

Newton’s Method (Newton Raphson)

Question 2

When is Euler’s Method used?

Answer 2

When the area of an irregular shape must be found but if the irregular side of each shape (cell) is fairly straight.

Question 3

When is Simpson’s Method used?

Answer 3

When the area of an irregular shape must be found but if the irregular side of each shape (cell) is parabolic. n must be even.

Question 4

Another form of Euler’s approximation is:

Answer 4

y(x2) = y(x1) + (x2-x1)y’(x1)