Numerical error

In software engineering and mathematics, numerical error is the error in the numerical computations.

It can be the combined effect of two kinds of error in a calculation. The first is referred to as Round-off error and is caused by the finite precision of computations involving floating-point numbers. The second, usually called Truncation error, is the difference between the exact mathematical solution and the approximate solution obtained when simplifications are made to the mathematical equations to make them more amenable to calculation.

Floating-point numerical error is often measured in ULP (unit in the last place).

• Loss of significance
• Numerical analysis
• Error analysis (mathematics)
• Round-off error
• Kahan summation algorithm
• Numerical sign problem

• Accuracy and Stability of Numerical Algorithms, Nicholas J. Higham, ISBN 0-89871-355-2
• "Computational Error And Complexity In Science And Engineering", V. Lakshmikantham, S.K. Sen, ISBN 0444518606

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