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Unformatted text preview: Approximations and Round-Off Errors • For many engineering problems, we cannot obtain analytical solutions. • Numerical methods yield approximate results, results that are close to the exact analytical solution. We cannot exactly compute the errors associated with numerical methods. – Only rarely given data are exact, since they originate from measurements. Therefore there is probably error in the input information. – Algorithm itself usually introduces errors as well, e.g., unavoidable round-offs, etc … – The output information will then contain error from both of these sources . • How confident we are in our approximate result? • The question is “ how much error is present in our calculation and is it tolerable?” • Accuracy. How close is a computed or measured value to the true value • Precision (or reproducibility ). How close is a computed or measured value to previously computed or measured values....
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- Spring '07
- Accuracy and precision, mantissa, Decimal Systems