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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}
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}}
70 \item $3000 bc$: abacus\\
71 first calculating device
73 electrical digital computer
74 \item $1938/41$: z1/3\\
75 featuring memory and programmability
76 \item $1960$: transistor based computers
97 \begin{slide}{computational techniques}
98 techniques discussed in the talk:
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
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
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}
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
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