This sub-chapter contains the specifications of the integrators
from the
DASSL package,
Brenan et al. (1996).
The DASSL integrator
d02nec is designed for solving systems of the form,
. These formulations permit solution of differential/algebraic systems
(DAEs). The facilities provided are essentially those of the explicit solvers.
The DASSL integrator,
d02nec, has an associated setup function
d02mwc which must be called first. On return from the integrator, if it is feasible to continue the integration, the associated continuation call function is
d02mcc may be called to rest various integration parameters. The structure of the Jacobian is assumed to be full unless
d02npc is called following a call to the setup function to specify that the Jacobian is banded and to supply its bandwidths.
The DASSL integrator
d02nec can solve DAEs of the fully implicit form
and, therefore, has increased functionality over the SPRINT integrators. Additionally
d02nec can be used to solve difficult algebraic problems by continuation; for example, the nonlinear algebraic problem
can be solved by integrating solutions of
where the solution to
is known. The solution of this type of problem is illustrated in
Section 10 in
d02nec.
Berzins M and Furzeland R M (1985) A user's manual for SPRINT – A versatile software package for solving systems of algebraic, ordinary and partial differential equations: Part 1 – Algebraic and ordinary differential equations Report TNER.85.085 Shell Research Limited