Results 1 to 2 of 2

Math Help - midpoint rule error series

  1. #1
    Member
    Joined
    Mar 2010
    Posts
    122

    midpoint rule error series

    calculate the full error series for the midpoint rule where:

    I=∫f(x)dx is the excact value and I'=∫f*(x)dx is the approximate value, and the local error is given by I-I*, use a generic taylor series for f(x),ie f(x)=A+Bx+cX^2...
    then find an expression for f* and integrate ∫f(x)dx-∫f*(x)dx
    between x=x_{i} and x_{i+i}

    i know that there are many web pages with the answer but i don't follow how they actually arrive at the answer.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by ulysses123 View Post
    calculate the full error series for the midpoint rule where:

    I=∫f(x)dx is the excact value and I'=∫f*(x)dx is the approximate value, and the local error is given by I-I*, use a generic taylor series for f(x),ie f(x)=A+Bx+cX^2...
    then find an expression for f* and integrate ∫f(x)dx-∫f*(x)dx
    between x=x_{i} and x_{i+i}

    i know that there are many web pages with the answer but i don't follow how they actually arrive at the answer.
    Well you seem to have pretty explicit instructions here, what have you done?

    CB
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Midpoint Formula Error
    Posted in the Advanced Applied Math Forum
    Replies: 0
    Last Post: November 11th 2011, 12:21 PM
  2. Replies: 0
    Last Post: December 3rd 2009, 08:40 AM
  3. Matlab Simpsons Rule and Midpoint Rule
    Posted in the Math Software Forum
    Replies: 0
    Last Post: November 18th 2009, 09:27 AM
  4. Replies: 0
    Last Post: April 15th 2009, 04:09 PM
  5. Replies: 2
    Last Post: February 26th 2008, 04:42 AM

Search Tags


/mathhelpforum @mathhelpforum