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[NumCS] Start Chapter 6.1, fix some errors

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Janis Hutz
2025-11-10 12:05:10 +01:00
parent 9ac7514ab6
commit 97caaa59b8
7 changed files with 71 additions and 0 deletions
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4
semester3/numcs/parts/02_quadrature/03_adaptive.tex
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% ┌ ┐
% │ AUTHOR: Janis Hutz<info@janishutz.com> │
% └ ┘
\newsection
\subsection{Adaptive Quadratur}
Der lokale Fehler einer zusammengesetzten Quadraturformel auf dem Gitter $\mathcal{M} := \{ a = x_0 < x_1 < \dots < x_m = b \}$ ist (für $f \in C^2([a, b])$):

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semester3/numcs/parts/02_quadrature/04_in-rd.tex
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% ┌ ┐
% │ AUTHOR: Janis Hutz<info@janishutz.com> │
% └ ┘
\newsectionNoPB
\subsection{Quadratur in $\R^d$ und dünne Gitter}
Eine einfache Option wäre natürlich, zwei eindimensionale Quadraturformeln aneinander zu hängen.

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semester3/numcs/parts/02_quadrature/05_monte-carlo.tex
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% ┌ ┐
% │ AUTHOR: Janis Hutz<info@janishutz.com> │
% └ ┘
\newsection
\newcommand{\tsigma}{\tilde{\sigma}}
\subsection{Monte-Carlo Quadratur}

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semester3/numcs/parts/02_quadrature/06_reduction-of-variance.tex
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% ┌ ┐
% │ AUTHOR: Janis Hutz<info@janishutz.com> │
% └ ┘
\newsection
\subsection{Methoden zur Reduktion der Varianz}
% NOTE: Mostly from TA slides, as the script is quite convoluted there