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+
+Please answer the following:
+
+1. Name of conference
+
+2. Type of Presentation
+ Contributed: Lecture form
+ Poster form
+ Minisymposium:
+
+3. Equipment for Visual Support
+ Lecture Form/Minisymposium:
+ Overhead Projector
+ 2" x 2" Slide Projector (35mm)
+ Poster Form:
+ Easel Poster Board
+ Other (specify)
+
+More sophisticated equipment can be provided, but you may be
+required to pay the rental fee. For details, indicate your
+requirements below:
+
+
+4. If you are a speaker in a minisymposium, who is the organizer?
+
+5. What is the minisymposium title?
+
+6. If more than one author, who will present the paper?
+
+% This is a macro file for creating a SIAM Conference abstract in
+% LaTeX.
+%
+% If you have any questions regarding these macros contact:
+% Lillian Hunt
+% SIAM
+% 3600 University City Center Center
+% Philadelphia, PA 19104-2688
+% USA
+% (215) 382-9800
+% e-mail:meetings@siam.org
+
+
+\hsize=25.5pc
+\vsize=50pc
+\textheight 50pc
+\textwidth 25.5pc
+\parskip 0pt
+\parindent 0pt
+\pagestyle{plain}
+
+\def\title#1{\bf{#1}\vspace{6pt}}
+\def\abstract#1{\rm {#1}\vspace{6pt}}
+\def\author#1{\rm {#1}\vfill\eject}
+
+% end of style file
+
+% This is ltexconf.tex. Use this file as an example file for doing an SIAM
+% Conference abstract in LaTeX.
+
+
+\documentstyle[ltexconf]{report}
+\begin{document}
+
+\title{Numerical Analysis of a 1-Dimensional
+Immersed-Boundary\\ Method}
+
+\abstract{We present the numerical analysis of a simplified,
+one-dimensional version
+of Peskin's immersed boundary method, which has been used to
+solve
+the two- and three-dimensional Navier-Stokes equations in the
+presence of immersed boundaries. We consider the heat
+equation
+ in a finite domain with a moving source term.
+We denote the solution as $u(x,t)$ and the location of the
+source
+ term as $X(t)$. The source term is a moving delta function
+whose strength is a function of u at the location of the
+delta function.
+The p.d.e. is coupled to an ordinary differential equation
+whose
+solution gives the location of the source term.
+ The o.d.e. is $X'(t) = u(X(t),t)$, which can be interpreted as
+saying the source term moves at the local velocity.
+The accuracy the numerical method of solution depends on how
+the
+delta function is discretized when the delta function is not
+at
+a grid point and on how the solution, u, is represented
+ at locations between grid points. We present results showing
+the effect of different choices of spreading the source to
+the grid and
+of restricting the solution to the source location.
+The problem we analyze is also similar to the Stefan problem
+and
+the immersed-boundary method has features in common with
+particle-in-cell
+ methods.}
+ \author{\underbar{Richard P. Beyer, Jr.}\\
+University of Washington, Seattle, WA\\
+Randall J. LeVeque\\
+University of Washington, Seattle, WA}
+
+\end{document}
+
+% end of example file.
+
+
+
+Please furnish complete addresses all co-authors.
+
+PLEASE INDICATE WHAT CONFERENCE ABSTRACT IS FOR.