Numerical Errors

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?

• 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

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