%0 Journal Article %A N. Khelil. L. Djerou and A. Zerarka and M. Batouche %D 2009 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 34, 2009 %T Improvement of Gregory's formula using Particle Swarm Optimization %U https://publications.waset.org/pdf/14258 %V 34 %X Consider the Gregory integration (G) formula with end corrections where h Δ is the forward difference operator with step size h. In this study we prove that can be optimized by minimizing some of the coefficient k a in the remainder term by particle swarm optimization. Experimental tests prove that can be rendered a powerful formula for library use. %P 850 - 852