Vaillancourt, R.,Calvé, Martine.2009-03-202009-03-2019891989Source: Masters Abstracts International, Volume: 30-03, page: 0759.9780315600225http://hdl.handle.net/10393/5967http://dx.doi.org/10.20381/ruor-11021A procedure developed by Enright et al. is described and used to construct interpolants of order 5 and 6 for three Runge-Kutta formula-pairs of order 4 and 5, presented by Dormand and Prince in 1980. A typical result is that the error bounds obtained for the interpolants of order 6 on the interval (0,1) for the three pairs considered are all much smaller than the ones obtained by Enright et al. for the method of Fehlberg.86 p.Mathematics.Thesis