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I am given one example that deals with numeric integration. It is a classic example of determining coefficients $A_1,...A_n$ such that the given quadratic formula is valid for all algebraic polynomials of some degree. The next part of this problem asks to determine the "algebraic degree of accuracy".

Question: What is "algebraic degree of accuracy" regarding numerical integration? Could you show on an example (regarding this given problem) how to determine the algebraic degree of accuracy?

user300045
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  • Is the problem from a book? If so, which one? – quasi Jun 17 '17 at 22:15
  • @quasi, No, it is not from a book? – user300045 Jun 17 '17 at 22:18
  • Degree of accuracy could mean different things, depending on the context. That's why I asked if you're using a textbook. I could guess a meaning, but that would just be a guess. – quasi Jun 17 '17 at 22:25
  • Also, you say all polynomials of "some degree", but then you allude to the quadratic formula, which relates to polynomials of degree 2. What's up with that? – quasi Jun 17 '17 at 22:29
  • @quasi, It is not quadratic, it is quadrature formula. Could you tell what is your guess for the definition of algebraic degree of accuracy? I can't find any reference in any context - here, it is numerical integration. – user300045 Jun 17 '17 at 23:11
  • I don't think it makes sense to guess. Given that it's an assigned problem and there's no textbook, it should be in your class notes. Or simply ask your professor for a link or reference. – quasi Jun 17 '17 at 23:25
  • @quasi, Actually, I can't find any reference regarding that term. – user300045 Jun 17 '17 at 23:27
  • Maybe this will help: https://math.stackexchange.com/questions/136633/numerical-integration-the-degree-of-accuracy-of-a-quadrature – quasi Jun 17 '17 at 23:34
  • Try these: $$$$ http://www3.nd.edu/~zxu2/acms40390F15/Lec-4.3.pdf $$$$ http://www3.nd.edu/~zxu2/acms40390F15/Lec-4.4.pdf $$$$ http://www3.nd.edu/~zxu2/acms40390F15/Lec-4.7.pdf $$$$ – quasi Jun 17 '17 at 23:49

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