ME 402/602 Computational Methods Fall 2013 Exam 1 Formulas
Taylor Series, n-th order approximation
f ( xi +1 ) f ( xi ) + f ( xi )( xi +1 xi ) +
Rn =
f
f (n)
2
( xi +1 xi ) + +
( xi +1 xi ) n + Rn , (xi+1-xi)= h step size
2!
n!
f ( n +1) ( ) ( n +1)
is r