\documentstyle{espart} \input{psfig} \input{rep12} \input{symbollga} \begin{document} \begin{frontmatter} \title{Adaptive Grid Radiation Hydrodynamics with \TITAN} \author{M. Gehmeyr\thanksref{MG}}~and \author{D. Mihalas\thanksref{DM}} \address{Laboratory for Computational Astrophysics\\ Astronomy Department, University of Illinois at Urbana-Champaign, 1002 W Green St., Urbana, IL 61801\\ and\\ National Center for Supercomputer Applications, Beckman Institute, 405 N Mathews, Urbana, IL 61801} \thanks[MG]{mgehmeyr@deneb.astro.uiuc.edu} \thanks[DM]{dmihalas@altair.astro.uiuc.edu} \date{March, 1994} \begin{abstract} \input{Abstract} \end{abstract} \end{frontmatter} \section{Introduction} \input{PhysicaD_1} \section{The Mathematical Formulation} \input{PhysicaD_2} \section{Some Numerical Details and Principles of Coding} \input{PhysicaD_3} \section{Discussion of Test Problems} \input{PhysicaD_4} \section{Conclusions} \input{Conclusion} \section{References} \input{References} \end{document} .