ABSTRACT

The text Numerical Analysis, Seventh Edition, Brooks/Cole, PaciÞc Grove, CA, 2001, by R. L. Burden and J. D. Faires, was the primary reference for most of the information presented in this chapter.

8.1.1 APPROXIMATIONS AND ERRORS Numerical methods involve Þnding approximate solutions to mathematical problems. Errors of approximation can result from two sources: error inherent in the method or formula used and round-off error. Round-off error results when a calculator or computer is used to perform real-number calculations with a Þnite number of signiÞcant digits. All but the Þrst speciÞed number of digits are either chopped or rounded to that number of digits.