The Euler-Maclaurin formula revisited
The Euler-Maclaurin formula revisited
The Euler-Maclaurin summation formula for the approximate evaluation of I = \int01f(x) dx comprises a sum of the form (1/m)\sumj=0m-1f((j+t?)/m), where 0?t? ? 1, a second sum whose terms involve the difference between the derivatives of f at the end-points 0 and 1 and a truncation error term expressed as …