@comment %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@comment  Version control history
@comment %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@comment  $Id$
@comment  $Log$
@comment  Revision 1.26  2005/01/06 12:28:36  geraint
@comment  Minor typos.
@comment
@comment  Revision 1.25  2004/08/27 20:12:34  geraint
@comment  Added note about "none" as an option for units.
@comment
@comment  Revision 1.24  2004/08/13 01:39:24  geraint
@comment  Fixed variable names in diy makefile example (again)
@comment
@comment  Revision 1.23  2004/08/11 08:24:28  geraint

@example
mtt rc sro view
@end example

@noindent 
An alternative (but more general) way of achieving the same result is
@example
mtt -cc rc odeso view
@end example

@noindent 
View the system transfer function
@example
mtt rc tf view
@end example

mtt rc tf tex
mtt rc tf dvi
mtt rc sro ps
mtt rc lmfr ps
mtt rc odes h
mtt rc numpar txt
mtt rc input txt
mtt -cc rc odeso ps
mtt rc rep txt
@end example
A non-hypertext version can be viewed using:
@example
mtt rc rep view
@end example

@end ftable

There are a number solution algorithms available:
@itemize @bullet
@item
explicit solution via the matrix exponential
@item
backward Euler integration (implicit)
@item
forward Euler integration (explicit)
@item
Runge Kutta IV integration (explicit, fixed step)
@item
Hybrd algebraic solver (MINPACK, Octave fsolve)
@c  @item
@c  LSODE (Hindmarsh's ODE solver as implemented in Octave)
@c  @item

@item mtt system sro view
        creates the step response of a @emph{linear} system via the system_sm.m
representation using explicit solution via the matrix exponential.
@c  @item mtt system odeso view
@c          creates the step response of a @emph{nonlinear} system via the
@c  system_ode.m representation using either METHOD=Euler or
@c  METHOD=LSODE in the parameter file (@pxref{Simulation parameters}).
@item mtt -cc system odeso view
        creates the response of a @emph{nonlinear} system via the
system_ode.cc representation using implicit integration.
@item mtt -cc -i euler system odeso view
        creates the response of a @emph{nonlinear} system via the
system_ode.cc representation using euler integration.
@end ftable

Simulation parameters are described in the system_simpar.txt file
(@pxref{Simulation parameters}).

The steady-state solution of a system can also be
``simulated''(@pxref{Steady-state solutions}).

@node Simulation code, Simulation output, Simulation initial state, Simulation
@comment  node-name,  next,  previous,  up
@section Simulation code
simulation code can be generated by @strong{MTT} in the form
of the @code{ode2odes} transformation. This can be produced in a number
of languages, including .m, .oct, C and C++ @pxref{Languages}.

To generate simulation code in C (deprecated):
@example
mtt -c [options] sys ode2odes c
@end example

Similarly, to generate C++ code:
@example
mtt -cc [options] sys ode2odes cc

        plot the variables with names na1 .. namen against time
@item 'name1:name2'
                plot the variable with  name2 against that with name 1
@end ftable    

An example of plotting a single variable against time is:
@example
mtt -o -cc -ss OttoCycle odeso ps 'OttoCycle_cycle_V'
@end example
An example of plotting one variable against another is:
@example
mtt -o -cc -ss OttoCycle odeso ps 'OttoCycle_cycle_V:OttoCycle_cycle_P'
@end example

@menu
* Viewing results with gnuplot::  
* Exporting results to SciGraphica::  
@end menu

# Generated by MTT at Mon Jun 16 15:10:17 BST 1997

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %% Revision 1.26  2005/01/06 12:28:36  geraint
# %% Minor typos.
# %%
# %% Revision 1.25  2004/08/27 20:12:34  geraint
# %% Added note about "none" as an option for units.
# %%
# %% Revision 1.24  2004/08/13 01:39:24  geraint
# %% Fixed variable names in diy makefile example (again)
# %%
# %% Revision 1.23  2004/08/11 08:24:28  geraint