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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}
26 \begin{slide}{outline}
29 \item history of computing hardware/software
31 \item computational techniques
37 \begin{slide}{motivation}
41 \includegraphics[width=8cm]{cp_appl_field.eps}
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
55 $\Rightarrow$ study and implementation of numerical algorithms
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}}
69 \begin{minipage}[b]{10cm}
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
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}}
90 \begin{minipage}[b]{10cm}
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
113 \begin{slide}{computational techniques}
114 techniques discussed in the talk:
116 \item rough discretization
117 \item solution of linear algebraic equations
118 \item interpolation and extrapolation
119 \item integration of functions
120 %\item evaluation of (special) functions
121 \item monte carlo methods
123 \item spectral applications
124 %\item modeling of data
125 %\item ordinary differential equations
126 %\item two point boundary value problems
127 %\item partial differential equations
131 \begin{slide}{computational techniques}
132 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}
134 %\item rough discretization
135 %\item solution of linear algebraic equations
136 %\item interpolation and extrapolation
137 %\item integration of functions
138 \item evaluation of (special) functions
139 %\item monte carlo methods
141 %\item spectral applications
142 \item modeling of data
143 \item ordinary differential equations
144 \item two point boundary value problems
145 \item partial differential equations