The Fortran 77 codes BiM
and BiMD are based
on blended implicit methods, namely a
class of L-stable Block Implicit Methods providing a (relatively) easy
definition of suitable nonlinear splittings for solving the
corresponding discrete problems, [41,43,46,54].
In particular:
the code BiM
(release 2.0, April 2005) implements a variable order-variable stepsize
method for (stiff) initial value problems for
ODEs. The order of the method varies from 4 to 12, according to
a suitable order variation strategy. All the details concerning the
strategies implemented in the code BiM
are described in [47,48,53]
(see also Cecilia
Magherini's PhD thesis, also available as a compressed
file);
the code BiMD (release 1.1.1, September
2006)
is a generalization of the code BiM
for solving (stiff) initial value problems for
linearly implicit DAEs of index up to 3 with constant mass
matrix [54],
namely problems in the form