  We present in detail two resummation methods emerging from the application of
the Simplified Differential Equations approach to a canonical basis of master
integrals. The first one is a method which allows for an easy determination of
the boundary conditions, since it finds relations between the boundaries of the
basis elements and the second one indicates how using the $x \rightarrow 1$
limit to the solutions of a canonical basis, one can obtain the solutions to a
canonical basis for the same problem with one mass less. Both methods utilise
the residue matrices for the letters $\{0,1\}$ of the canonical differential
equation. As proof of concept, we apply these methods to a canonical basis for
the three-loop ladder-box with one external mass off-shell, obtaining
subsequently a canonical basis for the massless three-loop ladder-box as well
as its solution.
