# MTH603 Quiz 2 Solution and Discussion

• In Simpson’s 1/3 rule, the global error is of ………………

O(h2)
O(h3)
O(h4)
None of the given choices

• Integration is a ………………process.

Subtracting
Summing
Dividing
None of the given choices

• Which of the following is the Richardson’s Extrapolation limit: F1(h/2) provided that F(h/2) = F(h) = 1 ?

0
1
3
4

• In the process of Numerical Differentiation, we differentiate an interpolating polynomial in place of ------------.

actual function

extrapolating polynomial

Lagrange’s polynomial

Newton’s Divided Difference Interpolating polynomial

• Richardson extrapolation is method also known as …………

Sequence acceleration method
Series acceleration method

Ref
In numerical analysis, Richardson extrapolation is a sequence acceleration method, used to improve the rate of convergence of a sequence. It is named after Lewis Fry Richardson, who introduced the technique in the early 20th century.

• We prefer ………over the Lagrange’s interpolating method for economy of computation.

Newton’s forward difference method

Newton’s backward difference method

Newton’s divided difference method

none.

• Which of the following is the Richardson’s Extrapolation limit: F3(h/8)
provided that F2(h/8) = F2(h/4) = 1 ?

63
64
1
-1

• 1st ordered divided difference formula is defined as…
y[x0,x1]=(y1-y0)/(x1-x0)
y[x0,x1]=(y1+y0)/(x1-x0)
y[x0,x1]=(y1-y0)/(x1+x0)