Numerical methods Flashcards
(5 cards)
1
Q
State 2 problems to consider with the Newton-Raphson method
A
- May not converge to the required root if the first approximation is close to a stationary point on the curve
- Will not converge if the derivation is zero at one of the values of xn
2
Q
When will an equation use the cobweb method to find its root?
A
When the gradient is less than 0
3
Q
When will an equation use the staircase method to find its root?
A
When the gradient is more than 0
4
Q
When will a cobweb or staircase converge?
A
When the modulus of the gradient is less than 1
5
Q
When will a cobweb or a staircase diverge?
A
When the modulus of the gradient is more then 1
