This report describes the implicit integration methods
available in MTT. They are introduced to provide simulation
of systems within the following context:
1.
The system may be stiff with a mixture of slow and fast
(possibly due to approximating algebraic loops) subsystems.
2.
The fast parts of the response are of no interest
3.
A fixed sample interval is required - possibly for real-time
simulation or control
4.
The system is nonlinear.
5.
The solution of nonlinear algebraic equations is to be avaided.
The following sections consider the linear and nonlinear versions
respectively. The ideas are based on a standard textbook
3.1.