computational_physics/cp.tex

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  14
  15 \title{introduction to computational physics}
  16 \subtitle{basic concepts and approaches}
  17 \author{frank zirkelbach}
  18 \email{frank.zirkelbach@physik.uni-augsburg.de}
  19 \institution{experimantal physics {\footnotesize IV} - university of augsburg}
  20
  21 \begin{document}
  22
  23 \maketitle
  24
  25 \overlays{5}{
  26 \begin{slide}{outline}
  27 \begin{itemstep}
  28   \item motivation
  29   \item history of computing hardware/software
  30   \item warning
  31   \item computational techniques
  32   \item summary
  33 \end{itemstep}
  34 \end{slide}}
  35
  36 \overlays{4}{
  37 \begin{slide}{motivation}
  38 \FromSlide{1}{
  39   \begin{center}
  40   \begin{figure}[h]
  41   \includegraphics[width=8cm]{cp_appl_field.eps}
  42   \end{figure}
  43   \end{center}
  44 }
  45 \FromSlide{2}{
  46 challenge:
  47 }
  48 \FromSlide{3}{
  49 \begin{itemize}
  50   \item precise mathematical theory
  51   \item often: solving theory's equations ab-initio is not realistic
  52   \item only a few models can be solved exactly
  53 \end{itemize}}
  54 \FromSlide{4}{
  55 $\Rightarrow$ study and implementation of numerical algorithms
  56 }
  57 \end{slide}}
  58
  59 \overlays{5}{
  60 \begin{slide}{history of computing hardware}
  61 \begin{tabular}{rc}
  62   \begin{minipage}{4cm}
  63      \onlySlide*{1}{\includegraphics[width=4cm]{abacus.eps}}
  64      \onlySlide*{2}{\includegraphics[width=4cm]{eniac.eps}}
  65      \onlySlide*{3}{\includegraphics[width=4cm]{z1.eps}}
  66      \FromSlide{4}{\includegraphics[width=4cm]{pdp1.eps}}
  67   \end{minipage} &
  68   \begin{minipage}{7cm}
  69     \begin{itemstep}
  70       \item $3000 bc$: abacus\\
  71             first calculating device
  72       \item $1945$: eniac\\
  73             electrical digital computer
  74       \item $1938/41$: z1/3\\
  75              featuring memory and programmability
  76       \item $1960$: transistor based computers
  77     \end{itemstep}
  78   \end{minipage}
  79 \end{tabular}
  80 \FromSlide{5}{
  81 foo
  82 }
  83 \end{slide}}
  84
  85 \begin{slide}{}
  86
  87 \end{slide}
  88
  89 \begin{slide}{}
  90
  91 \end{slide}
  92
  93 \begin{slide}{}
  94
  95 \end{slide}
  96
  97 \begin{slide}{computational techniques}
  98 techniques discussed in the talk:
  99 \begin{itemize}
 100   \item rough discretization
 101   \item solution of linear algebraic equations
 102   \item interpolation and extrapolation
 103   \item integration of functions
 104   %\item evaluation of (special) functions
 105   \item monte carlo methods
 106   \item eigensystems
 107   \item spectral applications
 108   %\item modeling of data
 109   %\item ordinary differential equations
 110   %\item two point boundary value problems
 111   %\item partial differential equations
 112 \end{itemize}
 113 \end{slide}
 114
 115 \begin{slide}{computational techniques}
 116 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}
 117 \begin{itemize}
 118   %\item rough discretization
 119   %\item solution of linear algebraic equations
 120   %\item interpolation and extrapolation
 121   %\item integration of functions
 122   \item evaluation of (special) functions
 123   %\item monte carlo methods
 124   %\item eigensystems
 125   %\item spectral applications
 126   \item modeling of data
 127   \item ordinary differential equations
 128   \item two point boundary value problems
 129   \item partial differential equations
 130 \end{itemize}
 131 \hspace{6cm}
 132 \end{slide}
 133
 134 \end{document}