WorksheetsNumerical Errors
Total questions: 10
Worksheet time: 5mins
Errors may occur in performing numerical computation on the computer due to which of the following reasons?
Operator fatigue
Back substitution
Rounding errors
Power fluctuation
True error is defined as
|True value-approximate value|
Present approximation-previous approximation
True value-approximate value
|Present approximation-previous approximation|
Which of the following is the formula for relative error?
Relative error= True valueTrue error
Relative error= True valueTrue value−approximate value
both a and b
None of the previous
When any numerical method do converge the approximate percentage relative error________ with each iteration
increases
decreases
remains same
sometimes increases and sometimes decreases
Which of the following is not a cause of truncation error
Limiting infinite number of terms in a series to a finite number of terms.
Chopping off numbers.
Taking finite step size instead of infinitesimal step size.
Limiting infinite number of iterations to a limited number.
The number of significant digits in 020.00, considering corrected upto last digit, is
1
2
3
4
72.4926 has a precision of
10−2
10−3
10−4
10−5
The number of significant digits in the number 502.005010 is
6
7
8
9
Truncation error is caused by approximating
irrational numbers
fractions
rational numbers
exact mathematical procedures
Select the best definition for "Numerical Analysis"
the study of round-off errors
the study of algorithms for computing approximate solutions to problems from continuous mathematics
the study of quantitative approximations to the solutions of mathematical problems including consider-
ation of and bounds for the errors involved
the branch of mathematics that deals with the development and use of numerical methods for solving
problems
