MTH603 Quiz 1 Solution and Discussion

@zareen said in MTH603 Quiz 1 Solution and Discussion:
Sequence acceleration method
In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve the speed of numerical integration.

δ = E 1/2  E 1/2


In Simpson’s 1/3 rule, the global error is of ……………… MTH603
O(h2)
O(h3)
O(h4) Page=171
Non of the given choices

Richardson extrapolation is method also known as ………… MTH603
Sequence acceleration method
Series acceleration method 
3rd

In NewtonCotes formula for finding the definite integral of a tabular function, which of the following is taken as an approximate function then find the desired integral? MTH603
Trigonometric Function
Exponential Function
Logarithmic Function
Polynomial Function Page=166

While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603
(y2 + y4)/2
(y2 + y4)
(y2  y4)/2
(y2  y4) 

For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603
Y’=(x)=1+Some truncation Error
Y’=(x)=1.01+Some truncation Error
Y’=(x)=.0.1+Some truncation Error
Y’=(x)=0.1+Some truncation Error


To improve the accuracy of the derivative of the function, which of the following method is more helpful? MTH603
Extrapolation
Interpolation
Divided difference
Central difference