Starting procedure
If the method is of multistep type, a starting procedure is needed, so the
fields of a new control panel must be completed. In {\tt EPODE}, a method is declared
of multistep type if more that one 'starting' variable was defined. First of all,
it must be detected the
starting variable which do not depend on the other (this variable will represent, in the
computational process, at the first step, the vector of initial values). This task can be
done using a search on the interdependence oriented graph of all method variables
G=(V,E), where V is the set of variables, (vi , vj ) in E if vj's (iterative or reply)
equation depends on vi - the graph node which has no entries, only outputs arcs represents
the searched variable (it must be a 'starting' variable). For all other 'starting' variable than
the above mentioned one (if there are others) we must describe an equation for the computation
of the first value at the first method step. One the right side of each equation we must
have only starting values - when we construct the interdependence oriented graph for this
equations, we must not have cycles (otherwise a deadlock will occur).
Example for the method Adams3