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-
-Please answer the following:
-
-1. Name of conference
-2. Type of Presentation
- Contributed: Lecture form or Poster form
- Minisymposium:
-
-3. Equipment for Visual Support
- Lecture form/Minisymposium: Overhead Projector or
- 2" x 2" Slide Projector (35mm)
-
- Poster form: Easel or Poster Board
-
-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
-% Plain Tex.
-%
-% 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
-\parskip=3pt
-\parindent=0pt
-\overfullrule=0pt
-\nopagenumbers
-
-\def\title#1\\{\bf{#1}\vskip6pt}
-\def\abstract#1\\{\rm {#1}}
-\def\author#1\\{\vskip6pt\rm {#1}\vfill\eject}
-\def\eol{\hfill\break}
-
-% end of style file
-
-% This is ptexconf.tex. Use this file as an example of a SIAM
-% Conference abstract in plain TeX.
-
-\input ptexconf.sty
-
-\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.}\eol
-University of Washington, Seattle, WA\eol
-%\vskip3pt
-Randall J. LeVeque\eol
-University of Washington, Seattle, WA\\
-\bye
-
-% end of example file
-
-
-Please furnish complete addresses for all co-authors.
-
-
-PLEASE BE SURE TO INDICATE WHAT CONFERENCE THE ABSTRACT IS FOR. \ No newline at end of file