Methods of Interval Analysis

Three types of errors are encountered in numerical analysis, namely: 1.Round-off errors, arising when numbers are rounded to fit a certain precision arithmetic; e.g. the case where 1/6 = 0.1666 ... is approximated to 0.167 on a three-digit machine.2.Truncation errors, resulting when convergent series are truncated down to a number of terms, e.g. the case where π = 3.141 592 65 ... is approximated by π= 3.14.3.Data errors, associated with the specific physical model under study. They represent a parameter’s uncertainties when it is determined through experimental measurements.