MATSLISE: The Eigenfunctions: parameterized version |
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Eigenfunctions: multiple values for one parameter
This window appears when the Eigenfunctions-button in the Eigenvalues: parameterized version-window is used.
The user should select the eigenfunction he/she wants to plot. Only one eigenfunction at a time can be selected. When the Plot-button is clicked, an eigenfunction-plot window is opened where the selected eigenfunction is displayed for each parameter-value.
When the window is opened, the eigenfunction is calculated over
the whole integration interval: First a suitable number of
points is chosen. If this number of point is n
, then the
integration interval is divided in n-1
subintervals. The
eigenfunction is then calculated in each of the n
meshpoints.
These meshpoints can be made visible by checking the Markers-
option in the Options-menu.
When the plotted eigenfunction has no smooth form, it may be
better to take a higher number of points. This can be done by
entering a new number in the "Number of points"-inputfield
and pressing the Update-button.
The user can change the X-interval to be plotted:
When an new interval [x1,x2]
is entered in the "X-interval"-
fields and the Update-button is pressed, then n
(n
= content
of "Number of points"-field) points are taken in the interval
[x1,x2]
. In these n
points the value of the eigenfunction is
calculated and plotted. So this functionality can be used to
zoom in on a part of the eigenfunction.
The Movie-button opens the Movie-window where the change in the eigenfunction can be followed. This makes only sense when the values for the parameter are a range of equally increasing or decreasing values.
![]() | Eigenvalues: parameterized version |