MTH603 Quiz 2 Solution and Discussion

Please share Quiz and Please discuss the each question!

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)