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How should I understand precision degree? I know that if the number of nodes $n$ is even the precision degree is $n+1$ and if it's odd its $n$.

Does this mean that if for a example we are calculating for a polynomial of the $8$th degree, the error is $0$ if the precision degree is $8$ or more?

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  • Yes, the degree of a formula is the highest degree a polynomial can have such that the formula gives the exact value. – Peter Jan 27 '18 at 13:37
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    I understand, thank you! We know that the precision degree of the trapezium rule is 1 and for the 1/3-simpson rule it is 3. What about the newton cotes formulas? – Ayoub Rossi Jan 27 '18 at 14:09

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