numerical methods Flashcards
1
Q
what is a numerical method
A
an approximation for a root of a function
2
Q
what are some numerical methods
A
iteration
trapezium rule
newton raphson
3
Q
when is change of sign appropriate
A
when the eq is continuous
4
Q
how do you use change in sign
A
- work in given interval or use bounds
- show their is a change in sign
5
Q
when does change in sign fail
A
interval is too large- locates the wrong roots
touches the x axis- this is a root but there is no change in sign
asymptotes- in a discontinous eq may be mistaken for a root
