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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