27 lines
1.0 KiB
TeX
27 lines
1.0 KiB
TeX
\section*{Problem 8}
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%link to relvant files and show plots
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\subsection*{a)}
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Increasing number of steps result in a decrease of absolute error.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.8\linewidth]{images/problem8_a.pdf}
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\caption{Absolute error for different step sizes $n_{steps}$.}
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\end{figure}
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\subsection*{b)}
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Increasing number of steps also result in a decrease of absolute error.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.8\linewidth]{images/problem8_b.pdf}
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\caption{Relative error for different step sizes $n_{steps}$.}
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\end{figure}
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\subsection*{c)}
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Increasing number of steps result in a decrease of maximum relative error, up to a certain number of steps. At $n_{steps} \approx 10^{5}$ the maximumrelative error increase.
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This can be related to loss of numerical precicion when step size is small.
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\begin{figure}[H]
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\centering
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\includegraphics[width=0.7\linewidth]{images/problem8_c.pdf}
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\caption{Maximum relative error for each step sizes $n_{steps}$.}
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\end{figure} |