%0 Journal Article %T Cr-Lohner algorithm %A Wilczak, Daniel %A ZgliczyƄski, Piotr %J Schedae Informaticae %V 2011 %R 10.4467/20838476SI.11.001.0287 %N Volume 20 %P 9-42 %K rigorous integration of ODEs, variational equations. %@ 1732-3916 %D 2012 %U https://ejournals.eu/en/journal/schedae-informaticae/article/cr-lohner-algorithm %X We present a Lohner type algorithm for the computation of rigorous bounds for the solutions of ordinary differential equations and its derivatives with respect to the initial conditions up to an arbitrary order.