Overview
Comment:Updated for new MTT
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Timelines: family | ancestors | descendants | both | origin/master | trunk
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SHA3-256: 497c0e9abbd0c971f42c762c0d5e41b71bd28b9e8cefbd775667a015e84b105b
User & Date: gawthrop@users.sourceforge.net on 2003-08-17 17:03:14
Other Links: branch diff | manifest | tags
Context
2003-08-18
07:49:29
Don't try to read a non-existent lbl file. check-in: 3ce895f7d5 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
2003-08-17
17:03:14
Updated for new MTT check-in: 497c0e9abb user: gawthrop@users.sourceforge.net tags: origin/master, trunk
11:35:45
Zapped ^ to uparrow conversion. check-in: 8798571b61 user: gawthrop@users.sourceforge.net tags: origin/master, trunk
Changes

Modified mttroot/mtt/lib/examples/GasDynamics/LeakyCylinder/LeakyCylinder_rep.txt from [e6cd163309] to [163616dd5e].

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# Outline report file for system LeakyCylinder (LeakyCylinder_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %% Revision 1.1  2000/12/28 17:44:35  peterg
% %% To RCS
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt LeakyCylinder abg tex
mtt LeakyCylinder struc tex
mtt LeakyCylinder sympar tex
mtt LeakyCylinder ode tex
mtt LeakyCylinder ss tex
mtt LeakyCylinder sm tex
mtt LeakyCylinder odeso ps

mtt LeakyCylinder rep txt









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# Outline report file for system LeakyCylinder (LeakyCylinder_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.2  2003/06/11 15:57:57  gawthrop
% %% Updated examples for latest MTT.
% %%
% %% Revision 1.1  2000/12/28 17:44:35  peterg
% %% To RCS
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt LeakyCylinder abg tex
mtt LeakyCylinder struc tex
mtt LeakyCylinder sympar tex
mtt LeakyCylinder ode tex
mtt LeakyCylinder ss tex
mtt LeakyCylinder sm tex
##mtt LeakyCylinder odeso ps

mtt LeakyCylinder rep txt


Modified mttroot/mtt/lib/examples/Simulation/BigHeatedRod/BigHeatedRod_input.txt from [2c95f7dc86] to [c54d6fa852].

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# Numerical parameter file (BigHeatedRod_input.txt)
# Generated by MTT at Thu Sep  4 16:11:06 BST 1997

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$



# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

# Set the inputs

u(1) =	10.0*(t<5.0); # I_r 








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# Numerical parameter file (BigHeatedRod_input.txt)
# Generated by MTT at Thu Sep  4 16:11:06 BST 1997

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %% Revision 1.1  2000/12/28 18:06:11  peterg
# %% To RCS
# %%
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

# Set the inputs
## Removed by MTT on Sun Aug 17 13:03:18 BST 2003: u(1) =	10.0*(t<5.0); # I_r 
bigheatedrod__i_r	=	10.0*(t<5.0); # I_r 

Modified mttroot/mtt/lib/examples/Simulation/BigHeatedRod/BigHeatedRod_lbl.txt from [2301cb55bc] to [a943d5cb3b].

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%SUMMARY BigHeatedRod: Thermal/Electrical model of Electric rod
%DESCRIPTION Introduces the idea of the ES component which
%DESCRIPTION transforms a relative-temperature/enthalpy pseudo bond 
%DESCRIPTION (at the [e]port) into an absolute-temperature/enntropy 
%DESCRIPTION energy bond (at the [s] port) and vice versa.

%VAR rod_length
%VAR rod_radius
%VAR electrical_resistivity
%VAR thermal_resistivity
%VAR thermal_capacity
%VAR segments
%VAR area
%VAR delta_x
%VAR volume
%VAR density
%VAR mass


%% Label file for system BigHeatedRod (BigHeatedRod_lbl.txt)


% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% %% $Id$
% %% $Log$



% %% Revision 1.1  1997/09/11 16:16:29  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


%% Each line should be of one of the following forms:
%	a comment (ie starting with %)
%	Component-name	CR_name	arg1,arg2,..argn
%	blank



% Component type RT
	r_2		lin	flow,r_2

% Component type SS
	I_r	SS	internal,external
	T_1	SS	t_0,internal
	T_2	SS	t_0,internal
	V_0	SS	internal,internal

% Component type Segment
	s
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#SUMMARY BigHeatedRod: Thermal/Electrical model of Electric rod
#DESCRIPTION Introduces the idea of the ES component which
#DESCRIPTION transforms a relative-temperature/enthalpy pseudo bond 
#DESCRIPTION (at the [e]port) into an absolute-temperature/enntropy 
#DESCRIPTION energy bond (at the [s] port) and vice versa.

#PAR rod_length
#PAR rod_radius
#PAR electrical_resistivity
#PAR thermal_resistivity
#PAR thermal_capacity
#PAR segments
#PAR area
#PAR delta_x
#PAR volume
#PAR density
#PAR mass
#PAR pi

## Label file for system BigHeatedRod (BigHeatedRod_lbl.txt)

# ###############################################################

# ## Version control history

# ###############################################################
# ## $Id$
# ## $Log$
# ## Revision 1.1  2000/12/28 18:06:11  peterg
# ## To RCS
# ##
# ## Revision 1.1  1997/09/11 16:16:29  peterg
# ## Initial revision
# ##

# ###############################################################

## Each line should be of one of the following forms:
#	a comment (ie starting with #)
#	Component-name	CR_name	arg1,arg2,..argn
#	blank



# Component type RT
	r_2		lin	flow,r_2

# Component type SS
	I_r	SS	internal,external
	T_1	SS	t_0,internal
	T_2	SS	t_0,internal
	V_0	SS	internal,internal

# Component type Segment
	s

Modified mttroot/mtt/lib/examples/Simulation/BigHeatedRod/BigHeatedRod_numpar.txt from [f90b3de7c8] to [92cb1f9ee5].

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# Numerical parameter file (BigHeatedRod_numpar.txt)
# Generated by MTT at Thu Sep  4 16:11:04 BST 1997

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$



# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


# Constants for copper
density = 8.96;
rod_length = 1.0;
rod_radius = 1e-3;
electrical_resistivity = 16.8*0.000000001;
thermal_resistivity = 1/390.0;
thermal_capacity = 380.0;



segments = 100;
area = pi*rod_radius*rod_radius;
delta_x = rod_length/segments;
volume = area*delta_x;
mass = volume*density;









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# Numerical parameter file (BigHeatedRod_numpar.txt)
# Generated by MTT at Thu Sep  4 16:11:04 BST 1997

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %% Revision 1.1  2000/12/28 18:06:11  peterg
# %% To RCS
# %%
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


# Constants for copper
density = 8.96;
rod_length = 1.0;
rod_radius = 1e-3;
electrical_resistivity = 16.8*0.000000001;
thermal_resistivity = 1/390.0;
thermal_capacity = 380.0;

pi = 3.142;

segments = 100;
area = pi*rod_radius*rod_radius;
delta_x = rod_length/segments;
volume = area*delta_x;
mass = volume*density;

Modified mttroot/mtt/lib/examples/Simulation/BigHeatedRod/BigHeatedRod_rep.txt from [8e0c0d3076] to [eb5334619f].

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# Outline report file for system BigHeatedRod (BigHeatedRod_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt -o -c BigHeatedRod abg tex

mtt -o -c BigHeatedRod numpar txt
mtt -o -c BigHeatedRod input txt
mtt -o -c BigHeatedRod odeso ps








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# Outline report file for system BigHeatedRod (BigHeatedRod_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1  1998/11/23 13:37:55  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt -o -cc BigHeatedRod abg tex

mtt -o -cc BigHeatedRod numpar txt
mtt -o -cc BigHeatedRod input txt
mtt -o -cc BigHeatedRod odeso ps

Modified mttroot/mtt/lib/examples/Simulation/BigHeatedRod/BigHeatedRod_state.txt from [75960b2537] to [d77a055614].

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# -*-octave-*- Put Emacs into octave-mode
# Initial state  file (BigHeatedRod_state.txt)
# Generated by MTT at Friday August 14 18:38:47 BST 1998
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



###############################################################

# Set the states
mttx(1) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(2) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(3) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(4) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(5) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(6) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(7) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(8) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(9) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(10) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(11) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(12) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)













mttx(13) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)







mttx(14) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(15) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(16) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(17) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(18) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(19) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(20) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(21) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(22) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(23) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(24) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(25) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)










mttx(26) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(27) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(28) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(29) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(30) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(31) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(32) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(33) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(34) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(35) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(36) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(37) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)










mttx(38) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(39) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(40) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(41) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(42) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(43) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(44) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(45) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(46) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(47) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(48) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(49) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(50) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)










mttx(51) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(52) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(53) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(54) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(55) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(56) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(57) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(58) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(59) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(60) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(61) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(62) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)













mttx(63) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(64) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(65) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(66) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(67) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(68) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(69) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(70) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(71) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(72) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(73) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(74) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(75) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)












mttx(76) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(77) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(78) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(79) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(80) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(81) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(82) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(83) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(84) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(85) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(86) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(87) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)













mttx(88) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(89) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(90) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(91) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(92) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(93) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(94) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(95) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(96) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(97) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(98) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(99) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
mttx(100) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)




















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# -*-octave-*- Put Emacs into octave-mode
# Initial state  file (BigHeatedRod_state.txt)
# Generated by MTT at Friday August 14 18:38:47 BST 1998
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.1  2000/12/28 18:06:11  peterg
## To RCS
##
###############################################################

# Set the states
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(1) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(2) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(3) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(4) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(5) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(6) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(7) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(8) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(9) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(10) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(11) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(12) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(13) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(14) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(15) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(16) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(17) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(18) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(19) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(20) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(21) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(22) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(23) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(24) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(25) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(26) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(27) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(28) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(29) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(30) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(31) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(32) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(33) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(34) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(35) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(36) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(37) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(38) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(39) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(40) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(41) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(42) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(43) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(44) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(45) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(46) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(47) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(48) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(49) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(50) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(51) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(52) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(53) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(54) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(55) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(56) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(57) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(58) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(59) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(60) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(61) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(62) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(63) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(64) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(65) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(66) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(67) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(68) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(69) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(70) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(71) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(72) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(73) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(74) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(75) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(76) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(77) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(78) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(79) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(80) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(81) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(82) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(83) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(84) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(85) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(86) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(87) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(88) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(89) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(90) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(91) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(92) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(93) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(94) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(95) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(96) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(97) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(98) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(99) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
## Removed by MTT on Sun Aug 17 13:05:21 BST 2003: mttx(100) 	= c_t*t_0; 	# c (BigHeatedRod_s_c_t)
bigheatedrod__s__100__c_t__c	=  c_t*t_0;
bigheatedrod__s__10__c_t__c	=  c_t*t_0;
bigheatedrod__s__11__c_t__c	=  c_t*t_0;
bigheatedrod__s__12__c_t__c	=  c_t*t_0;
bigheatedrod__s__13__c_t__c	=  c_t*t_0;
bigheatedrod__s__14__c_t__c	=  c_t*t_0;
bigheatedrod__s__15__c_t__c	=  c_t*t_0;
bigheatedrod__s__16__c_t__c	=  c_t*t_0;
bigheatedrod__s__17__c_t__c	=  c_t*t_0;
bigheatedrod__s__18__c_t__c	=  c_t*t_0;
bigheatedrod__s__19__c_t__c	=  c_t*t_0;
bigheatedrod__s__20__c_t__c	=  c_t*t_0;
bigheatedrod__s__21__c_t__c	=  c_t*t_0;
bigheatedrod__s__22__c_t__c	=  c_t*t_0;
bigheatedrod__s__23__c_t__c	=  c_t*t_0;
bigheatedrod__s__24__c_t__c	=  c_t*t_0;
bigheatedrod__s__25__c_t__c	=  c_t*t_0;
bigheatedrod__s__26__c_t__c	=  c_t*t_0;
bigheatedrod__s__27__c_t__c	=  c_t*t_0;
bigheatedrod__s__28__c_t__c	=  c_t*t_0;
bigheatedrod__s__29__c_t__c	=  c_t*t_0;
bigheatedrod__s__2__c_t__c	=  c_t*t_0;
bigheatedrod__s__30__c_t__c	=  c_t*t_0;
bigheatedrod__s__31__c_t__c	=  c_t*t_0;
bigheatedrod__s__32__c_t__c	=  c_t*t_0;
bigheatedrod__s__33__c_t__c	=  c_t*t_0;
bigheatedrod__s__34__c_t__c	=  c_t*t_0;
bigheatedrod__s__35__c_t__c	=  c_t*t_0;
bigheatedrod__s__36__c_t__c	=  c_t*t_0;
bigheatedrod__s__37__c_t__c	=  c_t*t_0;
bigheatedrod__s__38__c_t__c	=  c_t*t_0;
bigheatedrod__s__39__c_t__c	=  c_t*t_0;
bigheatedrod__s__3__c_t__c	=  c_t*t_0;
bigheatedrod__s__40__c_t__c	=  c_t*t_0;
bigheatedrod__s__41__c_t__c	=  c_t*t_0;
bigheatedrod__s__42__c_t__c	=  c_t*t_0;
bigheatedrod__s__43__c_t__c	=  c_t*t_0;
bigheatedrod__s__44__c_t__c	=  c_t*t_0;
bigheatedrod__s__45__c_t__c	=  c_t*t_0;
bigheatedrod__s__46__c_t__c	=  c_t*t_0;
bigheatedrod__s__47__c_t__c	=  c_t*t_0;
bigheatedrod__s__48__c_t__c	=  c_t*t_0;
bigheatedrod__s__49__c_t__c	=  c_t*t_0;
bigheatedrod__s__4__c_t__c	=  c_t*t_0;
bigheatedrod__s__50__c_t__c	=  c_t*t_0;
bigheatedrod__s__51__c_t__c	=  c_t*t_0;
bigheatedrod__s__52__c_t__c	=  c_t*t_0;
bigheatedrod__s__53__c_t__c	=  c_t*t_0;
bigheatedrod__s__54__c_t__c	=  c_t*t_0;
bigheatedrod__s__55__c_t__c	=  c_t*t_0;
bigheatedrod__s__56__c_t__c	=  c_t*t_0;
bigheatedrod__s__57__c_t__c	=  c_t*t_0;
bigheatedrod__s__58__c_t__c	=  c_t*t_0;
bigheatedrod__s__59__c_t__c	=  c_t*t_0;
bigheatedrod__s__5__c_t__c	=  c_t*t_0;
bigheatedrod__s__60__c_t__c	=  c_t*t_0;
bigheatedrod__s__61__c_t__c	=  c_t*t_0;
bigheatedrod__s__62__c_t__c	=  c_t*t_0;
bigheatedrod__s__63__c_t__c	=  c_t*t_0;
bigheatedrod__s__64__c_t__c	=  c_t*t_0;
bigheatedrod__s__65__c_t__c	=  c_t*t_0;
bigheatedrod__s__66__c_t__c	=  c_t*t_0;
bigheatedrod__s__67__c_t__c	=  c_t*t_0;
bigheatedrod__s__68__c_t__c	=  c_t*t_0;
bigheatedrod__s__69__c_t__c	=  c_t*t_0;
bigheatedrod__s__6__c_t__c	=  c_t*t_0;
bigheatedrod__s__70__c_t__c	=  c_t*t_0;
bigheatedrod__s__71__c_t__c	=  c_t*t_0;
bigheatedrod__s__72__c_t__c	=  c_t*t_0;
bigheatedrod__s__73__c_t__c	=  c_t*t_0;
bigheatedrod__s__74__c_t__c	=  c_t*t_0;
bigheatedrod__s__75__c_t__c	=  c_t*t_0;
bigheatedrod__s__76__c_t__c	=  c_t*t_0;
bigheatedrod__s__77__c_t__c	=  c_t*t_0;
bigheatedrod__s__78__c_t__c	=  c_t*t_0;
bigheatedrod__s__79__c_t__c	=  c_t*t_0;
bigheatedrod__s__7__c_t__c	=  c_t*t_0;
bigheatedrod__s__80__c_t__c	=  c_t*t_0;
bigheatedrod__s__81__c_t__c	=  c_t*t_0;
bigheatedrod__s__82__c_t__c	=  c_t*t_0;
bigheatedrod__s__83__c_t__c	=  c_t*t_0;
bigheatedrod__s__84__c_t__c	=  c_t*t_0;
bigheatedrod__s__85__c_t__c	=  c_t*t_0;
bigheatedrod__s__86__c_t__c	=  c_t*t_0;
bigheatedrod__s__87__c_t__c	=  c_t*t_0;
bigheatedrod__s__88__c_t__c	=  c_t*t_0;
bigheatedrod__s__89__c_t__c	=  c_t*t_0;
bigheatedrod__s__8__c_t__c	=  c_t*t_0;
bigheatedrod__s__90__c_t__c	=  c_t*t_0;
bigheatedrod__s__91__c_t__c	=  c_t*t_0;
bigheatedrod__s__92__c_t__c	=  c_t*t_0;
bigheatedrod__s__93__c_t__c	=  c_t*t_0;
bigheatedrod__s__94__c_t__c	=  c_t*t_0;
bigheatedrod__s__95__c_t__c	=  c_t*t_0;
bigheatedrod__s__96__c_t__c	=  c_t*t_0;
bigheatedrod__s__97__c_t__c	=  c_t*t_0;
bigheatedrod__s__98__c_t__c	=  c_t*t_0;
bigheatedrod__s__99__c_t__c	=  c_t*t_0;
bigheatedrod__s__9__c_t__c	=  c_t*t_0;
bigheatedrod__s__c_t__c	=  c_t*t_0;

Modified mttroot/mtt/lib/examples/Simulation/ImplicitRC/ImplicitRC_desc.tex from [fb1ca09eb2] to [a6bf3f22eb].

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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system ImplicitRC (ImplicitRC_desc.tex)
% Generated by MTT on Wednesday June 24 09:50:17 BST 1998.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

This report describes the \emph{implicit} integration methods
available in MTT. They are introduced to provide  simulation
of systems within the following context:
\begin{enumerate}
\item The system may be stiff with a mixture of slow and fast









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% -*-latex-*- Put EMACS into LaTeX-mode
% Verbal description for system ImplicitRC (ImplicitRC_desc.tex)
% Generated by MTT on Wednesday June 24 09:50:17 BST 1998.

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1  2000/12/28 18:06:50  peterg
% %% To RCS
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

This report describes the \emph{implicit} integration methods
available in MTT. They are introduced to provide  simulation
of systems within the following context:
\begin{enumerate}
\item The system may be stiff with a mixture of slow and fast
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required.

In contrast, the implicit method is stable.


\subsubsection{Example}
   The acausal bond graph of system \textbf{ImplicitRC} is
   displayed in Figure \Ref{ImplicitRC_abg} and its label
   file is listed in Section \Ref{sec:ImplicitRC_lbl}.
   The subsystems are listed in Section \Ref{sec:ImplicitRC_sub}.

The system represents two simple RC circuits in series with
differential equations as given in Section \Ref{sec:ImplicitRC_ode.tex} and
transfer function  as given in Section \Ref{sec:ImplicitRC_tf.tex}.

For the purposes of this example the two time constants are $1$ and
$\epsilon=10^{-3}$ -- this is a stiff system. All of the simulations
use a sample interval of $\Delta t = 0.1$ ang the input is a unit
step.  Section \Ref{sec:ImplicitRC_sro} shows the exact (computed from
the matrix exponential) solution, and  Section \Ref{sec:ImplicitRC_odeso}
shows the solution by implicit integration.

The explicit solution is not shown, but was found to be unstable for
$\Delta t > 0.002$ as predicted.

\subsection{Implicit integration - the nonlinear case}}
\label{sec:nonlinear}







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required.

In contrast, the implicit method is stable.


\subsubsection{Example}
   The acausal bond graph of system \textbf{ImplicitRC} is
   displayed in Figure \Ref{fig:ImplicitRC_abg.ps} and its label
   file is listed in Section \Ref{sec:ImplicitRC_lbl}
   The subsystems are listed in Section \Ref{sec:ImplicitRC_sub}.

The system represents two simple RC circuits in series with
differential equations as given in Section \Ref{sec:ImplicitRC_ode-noargs.tex} and
transfer function  as given in Section \Ref{sec:ImplicitRC_tf-noargs.tex}.

For the purposes of this example the two time constants are $1$ and
$\epsilon=10^{-3}$ -- this is a stiff system. All of the simulations
use a sample interval of $\Delta t = 0.1$ ang the input is a unit
step.  Section \Ref{sec:ImplicitRC_sro-noargs.ps} shows the exact (computed from
the matrix exponential) solution, and  Section {sec:ImplicitRC_odeso-cc.ps}
shows the solution by implicit integration.

The explicit solution is not shown, but was found to be unstable for
$\Delta t > 0.002$ as predicted.

\subsection{Implicit integration - the nonlinear case}}
\label{sec:nonlinear}

Modified mttroot/mtt/lib/examples/Simulation/ImplicitRC/ImplicitRC_numpar.txt from [308e6c5a7a] to [f5c254b34d].

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# Numerical parameter file (ImplicitRC_numpar.txt)
# Generated by MTT at Wednesday June 24 09:21:23 BST 1998

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$



# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

# Parameters
epsilon = 	1e-3; # ImplicitRC
c =		1.0;
r =		1.0;









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# Numerical parameter file (ImplicitRC_numpar.txt)
# Generated by MTT at Wednesday June 24 09:21:23 BST 1998

# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% Version control history
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
# %% $Id$
# %% $Log$
# %% Revision 1.1  2000/12/28 18:06:50  peterg
# %% To RCS
# %%
# %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

# Parameters
epsilon = 	1e-3; # ImplicitRC
## Removed by MTT on Sun Aug 17 13:59:26 BST 2003: ## Removed by MTT on Sun Aug 17 13:59:26 BST 2003: c =		1.0;
## Removed by MTT on Sun Aug 17 13:59:26 BST 2003: r =		1.0;

Modified mttroot/mtt/lib/examples/Simulation/ImplicitRC/ImplicitRC_rep.txt from [3341c40ade] to [24225ad046].

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# Outline report file for system ImplicitRC (ImplicitRC_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt ImplicitRC abg tex
mtt ImplicitRC struc tex
mtt ImplicitRC ode tex
mtt ImplicitRC sm tex
mtt ImplicitRC sm m
mtt ImplicitRC tf tex

mtt ImplicitRC sro ps

mtt ImplicitRC numpar tex

mtt ImplicitRC simpar tex
mtt -c ImplicitRC odeso ps







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# Outline report file for system ImplicitRC (ImplicitRC_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.1  2000/12/28 18:06:50  peterg
% %% To RCS
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt ImplicitRC abg tex
mtt ImplicitRC struc tex
mtt ImplicitRC ode tex
mtt ImplicitRC sm tex
mtt ImplicitRC sm m
mtt ImplicitRC tf tex

mtt ImplicitRC sro ps

mtt ImplicitRC numpar tex

mtt ImplicitRC simpar tex
mtt -cc ImplicitRC odeso ps

Modified mttroot/mtt/lib/examples/Thermal/Incompressible/Incompressible-Systems/LiquidTurbine/LiquidTurbine_rep.txt from [91b76102c7] to [4a1d6d995c].

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# Outline report file for system LiquidTurbine (LiquidTurbine_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$



% %% Revision 1.1  1999/02/21 02:13:25  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt -o -ss LiquidTurbine abg tex
mtt -o -ss LiquidTurbine struc tex
mtt -o -ss LiquidTurbine sympar tex
mtt -o -ss LiquidTurbine ss tex
mtt -o -ss LiquidTurbine ode tex


mtt -o -ss LiquidTurbine numpar txt
mtt -o -ss LiquidTurbine input txt

mtt -o -ss -c LiquidTurbine odeso ps 'LiquidTurbine_Heat'
mtt -o -ss -c LiquidTurbine odeso ps 'LiquidTurbine_Work'
mtt -o -ss -c LiquidTurbine odeso ps 'LiquidTurbine_in_Hy_in'
mtt -o -ss -c LiquidTurbine odeso ps 'LiquidTurbine_out_Hy_out'
mtt -o -ss -c LiquidTurbine odeso ps 'LiquidTurbine_out_Th_out'







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# Outline report file for system LiquidTurbine (LiquidTurbine_rep.txt)

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %% $Id$
% %% $Log$
% %% Revision 1.2  1999/12/21 23:50:25  peterg
% %% Use compiled version
% %%
% %% Revision 1.1  1999/02/21 02:13:25  peterg
% %% Initial revision
% %%
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

mtt -o -ss LiquidTurbine abg tex
mtt -o -ss LiquidTurbine struc tex
mtt -o -ss LiquidTurbine sympar tex
mtt -o -ss LiquidTurbine ss tex
mtt -o -ss LiquidTurbine ode tex


mtt -o -ss LiquidTurbine numpar txt
mtt -o -ss LiquidTurbine input txt

mtt -o -ss LiquidTurbine odeso ps 'LiquidTurbine__Heat'
mtt -o -ss LiquidTurbine odeso ps 'LiquidTurbine__Work'
mtt -o -ss LiquidTurbine odeso ps 'LiquidTurbine__in__Hy_in'
mtt -o -ss LiquidTurbine odeso ps 'LiquidTurbine__out__Hy_out'
mtt -o -ss LiquidTurbine odeso ps 'LiquidTurbine__out__Th_out'

Modified mttroot/mtt/lib/examples/Thermal/Incompressible/Incompressible-Systems/LiquidTurbine/LiquidTurbine_sspar.r from [9128209004] to [d37fe0362d].

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% Steady-state parameter file (LiquidTurbine_sspar.r)
% Generated by MTT at Fri Nov 20 11:42:16 GMT 1998

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % $Id$
% % $Log$



% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



% Steady-state states
MTTX1 := 	1; % LiquidTurbine (j_s)
MTTX2 := 	p_0*c/rho; % LiquidTurbine_C1 (tank) - pressure = p0
MTTX3 := 	t_0*p_0*c*c_p; % LiquidTurbine_C1 (tank) - temp = t0
% Steady-state inputs
MTTU1 := 	q_0; % LiquidTurbine (Heat)
MTTU2 := 	0; % LiquidTurbine (Work)
;;END;








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% Steady-state parameter file (LiquidTurbine_sspar.r)
% Generated by MTT at Fri Nov 20 11:42:16 GMT 1998

% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % Version control history
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% % $Id$
% % $Log$
% % Revision 1.1  2000/12/28 18:11:16  peterg
% % To RCS
% %
% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



% Steady-state states
MTTX1 := 	1; % LiquidTurbine (j_s)
MTTX2 := 	p_0*c_t/rho; % LiquidTurbine_C1 (tank) - pressure = p0
MTTX3 := 	t_0*p_0*c_t*c_p; % LiquidTurbine_C1 (tank) - temp = t0
% Steady-state inputs
MTTU1 := 	q_0; % LiquidTurbine (Heat)
MTTU2 := 	0; % LiquidTurbine (Work)
;;END;


MTT: Model Transformation Tools
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