computational_physics/cp.tex

   1 \documentclass[pdf]{prosper}
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   7 \usepackage{amsmath}
   8 \usepackage{ae}
   9 \usepackage{aecompl}
  10 \usepackage{color}
  11 \usepackage{graphicx}
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  13 \usepackage{hyperref}
  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{minipage}[t]{10cm}
  62      \onlySlide*{1}{\begin{center} \includegraphics[height=3cm]{abacus.eps} \end{center}}
  63      \onlySlide*{2}{\begin{center} \includegraphics[height=3cm]{eniac.eps} \hspace{1cm} \includegraphics[height=3cm]{tube.eps} \end{center}}
  64      \onlySlide*{3}{\begin{center} \includegraphics[height=3cm]{z1.eps} \end{center}}
  65      \onlySlide*{4}{\begin{center} \includegraphics[height=3cm]{pdp1.eps} \hspace{1pt} \includegraphics[height=3cm]{transistor.eps} \end{center}}
  66      \onlySlide*{5}{\begin{center} \includegraphics[height=3cm]{pdp8.eps} \hspace{1cm} \includegraphics[height=3cm]{ic.eps} \end{center}}
  67      %\FromSlide{6}{\begin{center} \includegraphics[height=3cm]{} \end{center}}
  68   \end{minipage}
  69   \begin{minipage}[b]{10cm}
  70     \begin{itemstep}
  71       \item $3000 \, bc$: abacus - first calculating device
  72       \item $1945$: eniac - electrical digital computer
  73       \item $1938/41$: z1/3 - featuring memory and programmability
  74       \item $1960$: pdp-1 - transistor based computers
  75       \item $1964$: pdp-8 - integrated circuit computers
  76     \end{itemstep}
  77   \end{minipage}
  78 \end{slide}}
  79
  80 \overlays{5}{
  81 \begin{slide}{history of computing hardware}
  82   \begin{minipage}[t]{10cm}
  83      \onlySlide*{1}{\begin{center} \includegraphics[height=3cm]{4004.eps} \end{center}}
  84      \onlySlide*{2}{\begin{center} \includegraphics[height=3cm]{cray2.eps} \hspace{1pt} \includegraphics[height=3cm]{cray2_i.eps} \end{center}}
  85      \onlySlide*{3}{\begin{center} \includegraphics[height=3cm]{apple2.eps} \includegraphics[height=3cm]{c64.eps} \end{center}}
  86      \onlySlide*{4}{\begin{center} \includegraphics[height=3cm]{mips.eps} \hspace{1pt} \includegraphics[height=3cm]{ppc.eps} \end{center}}
  87      \onlySlide*{5}{\begin{center} \includegraphics[height=3cm]{cluster1.eps} \hspace{1cm} \includegraphics[height=3cm]{cluster2.eps} \end{center}}
  88      %\FromSlide{6}{\begin{center} \includegraphics[height=3cm]{} \end{center}}
  89   \end{minipage}
  90   \begin{minipage}[b]{10cm}
  91     \begin{itemstep}
  92       \item $1970$: intel 4004 - first single chip $\mu$-processor
  93       \item $1977/85$: cray1/2 - vector supercomputer
  94       \item $1977/82/85$: 6502/6510/m68k - first pc
  95       \item $1985$: mips - first risc design
  96       \item $1990/2000$: massive parallel computing
  97     \end{itemstep}
  98   \end{minipage}
  99 \end{slide}}
 100
 101 \overlays{8}{
 102 \begin{slide}{}
 103   \begin{itemstep}
 104     \item
 105     \item
 106     \item
 107     \item
 108     \item
 109     \item
 110     \item
 111     \item
 112   \end{itemstep}
 113 \end{slide}}
 114
 115 \begin{slide}{}
 116
 117 \end{slide}
 118
 119 \begin{slide}{}
 120
 121 \end{slide}
 122
 123 \begin{slide}{computational techniques}
 124 techniques discussed in the talk:
 125 \begin{itemize}
 126   \item rough discretization
 127   \item solution of linear algebraic equations
 128   \item interpolation and extrapolation
 129   \item integration of functions
 130   %\item evaluation of (special) functions
 131   \item monte carlo methods
 132   \item eigensystems
 133   \item spectral applications
 134   %\item modeling of data
 135   %\item ordinary differential equations
 136   %\item two point boundary value problems
 137   %\item partial differential equations
 138 \end{itemize}
 139 \end{slide}
 140
 141 \begin{slide}{computational techniques}
 142 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}
 143 \begin{itemize}
 144   %\item rough discretization
 145   %\item solution of linear algebraic equations
 146   %\item interpolation and extrapolation
 147   %\item integration of functions
 148   \item evaluation of (special) functions
 149   %\item monte carlo methods
 150   %\item eigensystems
 151   %\item spectral applications
 152   \item modeling of data
 153   \item ordinary differential equations
 154   \item two point boundary value problems
 155   \item partial differential equations
 156 \end{itemize}
 157 \hspace{6cm}
 158 \end{slide}
 159
 160 \end{document}