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[NumCS] Prepare next sections for quadrature

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Janis Hutz
2025-10-21 17:05:20 +02:00
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semester3/numcs/numcs-summary.pdf
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semester3/numcs/numcs-summary.tex
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@@ -133,6 +133,9 @@ Moral of the story: Use descriptive variable names and do NOT use $t$, $tt$, $tt
\section{Numerische Quadratur} \section{Numerische Quadratur}
\input{parts/02_quadrature/00_introduction.tex} \input{parts/02_quadrature/00_introduction.tex}
\input{parts/02_quadrature/01_equidistant-nodes.tex} \input{parts/02_quadrature/01_equidistant-nodes.tex}
\input{parts/02_quadrature/02_non-equidistant/00_gauss.tex}
\input{parts/02_quadrature/02_non-equidistant/01_clenshaw-curtis.tex}
\input{parts/02_quadrature/03_adaptive.tex}
\end{document} \end{document}

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semester3/numcs/parts/02_quadrature/02_non-equidistant/00_gauss.tex Normal file
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\newsection
\subsection{Nicht äquidistante Stützstellen}
Alternativ zur Unterteilung des Intervalls können wir andere Quadraturpunkte erlauben
\subsubsection{Gauss Quadratur}
In diesem Kapitel werden die Gewichte mit $b_1, b_2, \ldots, b_s$ und die Knoten auf unserem Referenzintervall,
welches hier $[0, 1]$ ist, mit $c_1, c_2, \ldots, c_s \in [0, 1]$ bezeichnet.
% TODO: It would probably be a good idea to link the document together much better (and maybe create an index in the end?)
Wir möchten unsere Gewichte $b_i$ und Knoten $c_i$ so bestimmen, dass die Quadraturordnung maximal ist.

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semester3/numcs/parts/02_quadrature/02_non-equidistant/01_clenshaw-curtis.tex Normal file
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\subsubsection{Clenshaw-Curtis Quadraturformel}

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semester3/numcs/parts/02_quadrature/03_adaptive.tex Normal file
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\newsection
\subsection{Adaptive Quadratur}