mesh.tex

Paper VI: Transfer Semigroups: Stochastic, Bayesian, Fractional, and PDE Realizations

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1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \draw[black!13,line width=.25pt] (0.8,0.65) -- (0.8,3.75);
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6 \draw[black!13,line width=.25pt] (2.7,0.65) -- (2.7,3.75);
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8 \node[font=\small,align=center,font=\scriptsize] at (2.7,0.39) {0.25};
9 \draw[black!13,line width=.25pt] (4.6,0.65) -- (4.6,3.75);
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15 \draw[black!13,line width=.25pt] (8.4,0.65) -- (8.4,3.75);
16 \draw[] (8.4,0.59) -- (8.4,0.71);
17 \node[font=\small,align=center,font=\scriptsize] at (8.4,0.39) {1};
18 \draw[black!13,line width=.25pt] (0.8,0.65) -- (8.4,0.65);
19 \node[font=\small,align=center,anchor=east,font=\scriptsize] at (0.64,0.65) {0};
20 \draw[->,line width=.6pt] (0.8,0.65) -- (8.52,0.65);
21 \draw[->,line width=.6pt] (0.8,0.65) -- (0.8,3.87);
22 \node[font=\small,align=center,font=\scriptsize] at (4.6,0.1) {$x$};
23 \node[font=\small,align=center,anchor=west,font=\scriptsize] at (0.8,4.15) {$|u_h-u|=h^2x(1-x)$};
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27 \node[font=\small,align=center,font=\small] at (11.35,3.95) {grid spacing $h$\qquad maximum error};
28 \node[font=\small,align=center] at (11.35,3) {$\frac{1}{4}$\qquad $\frac{1}{64}$};
29 \node[font=\small,align=center] at (11.35,2) {$\frac{1}{8}$\qquad $\frac{1}{256}$};
30 \node[font=\small,align=center] at (11.35,1) {$\frac{1}{16}$\qquad $\frac{1}{1024}$};
31 \end{tikzpicture}

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