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\psfig{file=titan1.ps}             %\Huge{\bf TITAN CODE}\\
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\psfig{file=titan3.ps}             %\Huge{\bf REFERENCE MANUAL}\\
\vspace*{10mm}
\large{\bf by}\\
\vspace*{5mm}
\large{\bf DIMITRI MIHALAS}\\
\large{\bf and}\\
\large{\bf MICHAEL GEHMEYR}\\
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\large{\bf LABORATORY~for~COMPUTATIONAL~ASTROPHYSICS}\\
\vspace*{15mm}
\large{\bf DEPARTMENT of ASTRONOMY}\\
\large{\bf UNIVERSITY OF ILLINOIS}\\
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\large{\bf and}\\
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\large{\bf NATIONAL CENTER for SUPERCOMPUTING APPLICATIONS}\\
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\large{\bf Version 1.2, January 1994}\\
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\bf
Copyright \copyright 1994\\
by the University of Illinois at Urbana-Champaign\\
Urbana, Illinois 61801, U.S.A\\
All Rights Reserved
\end{center}
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{\hbox{\hspace{5mm}
{\vbox{\hsize=4.5in\strut
\noindent\rm
Permission to use, copy, modify, and distribute this software and its
documentation for any purpose is hereby granted without fee, provided
that the above  copyright notice appears in all copies  and that both
the copyright notice and this  permission notice appear in supporting
documentation, and that the name of the University of Illinois not be
used in  advertising or  publicity pertaining to  distribution of the 
software without specific, written  prior permission.\strut}}
}}

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\begin{center}
\large{\bf DISCLAIMER}
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\addcontentsline{toc}{section}{\protect\numberline{}{\bf ~Disclaimer}}
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{\hbox{\hspace{5mm}
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\noindent\rm
     Although every attempt has been made to provide accurate and error-free 
data and software, the University of Illinois makes no warranty, express or 
implied, for the accuracy, completeness, or usefulness of the information and
data provided. Further, it assumes no legal liability or responsibility 
whatsoever, for any damage or loss users may sustain as a result of using
them. In no event shall the University of Illinois be liable
for any special, indirect, or consequential damages, or any damages
whatsoever resulting from loss of use, data, or profits, whether in an
action of contract, negligence, or other tortious action, or any action
whatsoever, arising out
of, or in connection with, the use or performance of this software.
The University of Illinois  makes no representations about the suitability
of this software for any purpose; users use these data and codes entirely
at their own risk.\strut}}
}}

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%\begin{center}
%\Large{\bf CONTENTS}
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%\end{center}
%
%\begin{tabular}{llr}
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%\Large{\bf I.}    &\Large{\bf INTRODUCTION}           &\hspace{10mm} \bf   1\\
%\vspace*{2mm}
%\Large{\bf II.}   &\Large{\bf ADAPTIVE GRID}          &\hspace{10mm} \bf   3\\
%\vspace*{2mm}
%\Large{\bf III.}  &\Large{\bf CUMULATIVE MASS}        &\hspace{10mm} \bf  22\\
%\vspace*{2mm}
%\Large{\bf IV.}   &\Large{\bf CONTINUITY}             &\hspace{10mm} \bf  24\\
%\vspace*{2mm}
%\Large{\bf V.}    &\Large{\bf GAS MOMENTUM}           &\hspace{10mm} \bf  31\\
%\vspace*{2mm}
%\Large{\bf VI.}   &\Large{\bf RADIATING FLUID ENERGY} &\hspace{10mm} \bf  39\\
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%\Large{\bf VII.}  &\Large{\bf RADIATION ENERGY}       &\hspace{10mm} \bf  48\\
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%\Large{\bf VIII.} &\Large{\bf RADIATION MOMENTUM}     &\hspace{10mm} \bf  53\\
%\vspace*{2mm}
%\Large{\bf IX.}   &\Large{\bf RADIATION DIFFUSION}    &\hspace{10mm} \bf  60\\
%\vspace*{2mm}
%\Large{\bf X.}    &\Large{\bf EDDINGTON FACTORS}      &\hspace{10mm} \bf  65\\
%\vspace*{2mm}
%\Large{\bf XI.}   &\Large{\bf TOTAL ENERGY}           &\hspace{10mm} \bf  73\\
%\vspace*{2mm}
%\Large{\bf XII.}  &\Large{\bf BOUNDARY CONDITIONS}    &\hspace{10mm} \bf  76\\
%\vspace*{2mm}
%\Large{\bf XIII.} &\Large{\bf PHANTOM ZONES}          &\hspace{10mm} \bf  92\\
%\vspace*{2mm}
%\Large{\bf XIV.}  &\Large{\bf LOGICAL SWITCHES}       &\hspace{10mm} \bf  97\\
%\vspace*{2mm}
%\Large{\bf XV.}   &\Large{\bf INPUT PARAMETERS}       &\hspace{10mm} \bf 100\\
%\vspace*{2mm}
%\Large{\bf XVI.}  &\Large{\bf SOLUTION}               &\hspace{10mm} \bf 104\\
%\vspace*{2mm}
%\Large{\bf XVII.} &\Large{\bf CONTROL}                &\hspace{10mm} \bf 108\\
%\vspace*{2mm}
%\Large{\bf XVIII.}&\Large{\bf GLOSSARY}               &\hspace{10mm} \bf 110\\
%\end{tabular}

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\large{\bf ACKNOWLEDGEMENTS}
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\addcontentsline{toc}{section}{\protect\numberline{}{\bf ~Acknowledgements}}
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\rm
We thank K.-H. Winkler for introducing us to, and teaching us about, adaptive-grid techniques in radiation hydrodynamics. D.M. thanks the National Solar Observatory for generous support of his sabbatical visit to Tucson during the Spring semester of 1993. This work has been supported in part by National Science Foundation grants AST-8914143 and AST-920113, National Aeronautics and Space Administration grant 90-NASA-M-1665, and research funds made available by the University of Illinois.


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