MATSLISE: Calculating the eigenfunctions    

The Eigenfunction-plot window

In this window a plot is displayed of one specific eigenfunction selected by the user.


The eigenfunction is evaluated in n points, where n is the content of the Number of points-field. The function-values in these n points are then connected by a blue solid line which forms the plot of the eigenfunction.

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 or the number of points n is changed and the Update-button is pressed, then n 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 focus on a part of the eigenfunction or to make a smoother plot of the eigenfunction when the number of points was taken too low.

The Show Values-button

By clicking the Show Values-button the values of the (n) mesh-points and eigenfunction-evaluations can be consulted and saved in the base-workspace.

The Close-button

With a click on this button, the window is closed.


The File-Menu

The Edit-Menu

The Options-Menu

The Extra-Menu

Two options to test the correctness of the eigenfunction:

The Help-Menu


Note: In order to obtain accurate eigenfunctions it is important to choose a low value for the input tolerance (tol), in other words: the eigenvalue must be sufficiently accurate to plot the associated eigenfunction.


   The Eigenfunctions window  Eigenvalues window: parameterized version