MATSLISE: The Eigenfunctions: parameterized version    

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