diff --git a/Lectures_my/NumMet/Lecture2/images/Runge.png b/Lectures_my/NumMet/Lecture2/images/Runge.png new file mode 100644 index 0000000..453ddd9 --- /dev/null +++ b/Lectures_my/NumMet/Lecture2/images/Runge.png Binary files differ diff --git a/Lectures_my/NumMet/Lecture2/mchrzasz.tex b/Lectures_my/NumMet/Lecture2/mchrzasz.tex index f1e8dae..27e2178 100644 --- a/Lectures_my/NumMet/Lecture2/mchrzasz.tex +++ b/Lectures_my/NumMet/Lecture2/mchrzasz.tex @@ -578,9 +578,22 @@ \end{small} \end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{frame}\frametitle{Runge oscillation} +\begin{small} +\ARROW If one has many points one needs to use a high order polynomial.\\ +\ARROW The problem with high order polynomials is that they start oscilationg at the edges $\mapsto$ so-called Runge oscillations. +\begin{center} +\includegraphics[width=0.75\textwidth]{images/Runge.png} +\end{center} +\ARROW Danny will tell you more about this next lecture. + +\end{small} +\end{frame} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame}\frametitle{First degree spline function} \begin{small}