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\title{introduction to computational physics}
\subtitle{basic concepts and approaches}
\author{frank zirkelbach}
\email{frank.zirkelbach@physik.uni-augsburg.de}
\institution{experimantal physics {\footnotesize IV} - university of augsburg}

\begin{document}

\maketitle

\overlays{5}{
\begin{slide}{outline}
\begin{itemstep}
  \item motivation
  \item history of computing hardware/software
  \item warning
  \item computational techniques
  \item summary
\end{itemstep}
\end{slide}}

\overlays{4}{
\begin{slide}{motivation}
\FromSlide{1}{
  \begin{center}
  \begin{figure}[h]
  \includegraphics[width=8cm]{cp_appl_field.eps}
  \end{figure}
  \end{center}
}
\FromSlide{2}{
challenge:
}
\FromSlide{3}{
\begin{itemize}
  \item precise mathematical theory
  \item often: solving theory's equations ab-initio is not realistic
  \item only a few models can be solved exactly
\end{itemize}}
\FromSlide{4}{
$\Rightarrow$ study and implementation of numerical algorithms
}
\end{slide}}

\overlays{5}{
\begin{slide}{history of computing hardware}
  \begin{minipage}[t]{10cm}
     \onlySlide*{1}{\begin{center} \includegraphics[height=3cm]{abacus.eps} \end{center}}
     \onlySlide*{2}{\begin{center} \includegraphics[height=3cm]{eniac.eps} \hspace{1cm} \includegraphics[height=3cm]{tube.eps} \end{center}}
     \onlySlide*{3}{\begin{center} \includegraphics[height=3cm]{z1.eps} \end{center}}
     \onlySlide*{4}{\begin{center} \includegraphics[height=3cm]{pdp1.eps} \hspace{1pt} \includegraphics[height=3cm]{transistor.eps} \end{center}}
     \onlySlide*{5}{\begin{center} \includegraphics[height=3cm]{pdp8.eps} \hspace{1cm} \includegraphics[height=3cm]{ic.eps} \end{center}}
     %\FromSlide{6}{\begin{center} \includegraphics[height=3cm]{} \end{center}}
  \end{minipage}
  \begin{minipage}[b]{10cm}
    \begin{itemstep}
      \item $3000 \, bc$: abacus - first calculating device
      \item $1945$: eniac - electrical digital computer
      \item $1938/41$: z1/3 - featuring memory and programmability
      \item $1960$: pdp-1 - transistor based computers
      \item $1964$: pdp-8 - integrated circuit computers
    \end{itemstep}
  \end{minipage}
\end{slide}}

\overlays{5}{
\begin{slide}{history of computing hardware}
  \begin{minipage}[t]{10cm}
     \onlySlide*{1}{\begin{center} \includegraphics[height=3cm]{4004.eps} \end{center}}
     \onlySlide*{2}{\begin{center} \includegraphics[height=3cm]{cray2.eps} \hspace{1pt} \includegraphics[height=3cm]{cray2_i.eps} \end{center}}
     \onlySlide*{3}{\begin{center} \includegraphics[height=3cm]{apple2.eps} \includegraphics[height=3cm]{c64.eps} \end{center}}
     \onlySlide*{4}{\begin{center} \includegraphics[height=3cm]{mips.eps} \hspace{1pt} \includegraphics[height=3cm]{ppc.eps} \end{center}}
     \onlySlide*{5}{\begin{center} \includegraphics[height=3cm]{cluster1.eps} \hspace{1cm} \includegraphics[height=3cm]{cluster2.eps} \end{center}}
     %\FromSlide{6}{\begin{center} \includegraphics[height=3cm]{} \end{center}}
  \end{minipage}
  \begin{minipage}[b]{10cm}
    \begin{itemstep}
      \item $1970$: intel 4004 - first single chip $\mu$-processor
      \item $1977/85$: cray1/2 - vector supercomputer
      \item $1977/82/85$: 6502/6510/m68k - first pc
      \item $1985$: mips - first risc design
      \item $1990/2000$: massive parallel computing
    \end{itemstep}
  \end{minipage}
\end{slide}}

\begin{slide}{}

\end{slide}

\begin{slide}{}

\end{slide}

\begin{slide}{}

\end{slide}

\begin{slide}{computational techniques}
techniques discussed in the talk:
\begin{itemize}
  \item rough discretization
  \item solution of linear algebraic equations
  \item interpolation and extrapolation
  \item integration of functions
  %\item evaluation of (special) functions
  \item monte carlo methods
  \item eigensystems
  \item spectral applications
  %\item modeling of data
  %\item ordinary differential equations
  %\item two point boundary value problems
  %\item partial differential equations
\end{itemize}
\end{slide}

\begin{slide}{computational techniques}
techniques \textcolor{red}{not yet} discussed in the talk:\footnote{if time is available this will be completed. read more at http://www.nr.com}
\begin{itemize}
  %\item rough discretization
  %\item solution of linear algebraic equations
  %\item interpolation and extrapolation
  %\item integration of functions
  \item evaluation of (special) functions
  %\item monte carlo methods
  %\item eigensystems
  %\item spectral applications
  \item modeling of data
  \item ordinary differential equations
  \item two point boundary value problems
  \item partial differential equations
\end{itemize}
\hspace{6cm}
\end{slide}

\end{document}
