Lecture 23: Multistep Methods for Special Equations of the Second Order
This results in the identity
(7.37)
which forms the basis of many integration formulas. Replacing by the interpolating polynomial of degree q, using the points , we can obtain a number of special methods according to our choice of x, and K. Some of them are listed in the following table:
by the interpolating polynomial of degree q, using the points 
, we can obtain a number of special methods according to our choice of x, and K. Some of them are listed in the following table: 
