The [[Gauss–Legendre method]]s useuses the points of [[Gauss–Legendre quadrature]] as collocation points. The Gauss–Legendre method based on ''s'' points has order 2''s''.<ref>{{harvnb|Iserles|1996|pp=47}}</ref> All Gauss–Legendre methods are [[A-stability|A-stable]].<ref>{{harvnb|Iserles|1996|pp=63}}</ref>
