Generate MathWorks's logos.
L = MEMBRANE(k), for k <= 12, is the k-th eigenfunction of
the L-shaped membrane. The first three eigenfunctions have
been shown on the covers of various MathWorks publications.
MEMBRANE(k), with no output parameters, plots the k-th eigenfunction.
MEMBRANE, with no input or output parameters, plots MEMBRANE(1).
L = MEMBRANE(k,m,n,np) also sets some mesh and accuracy parameters:
k = index of eigenfunction, default k = 1.
m = number of points on 1/3 of boundary. The size of
the output is 2*m+1-by-2*m+1. The default m = 15.
n = number of terms in sum, default n = min(m,9).
np = number of terms in partial sum, default np = min(n,2).
With np = n, the eigenfunction is nearly zero on the boundary.
With np < n, like np = 2, the boundary is not tied down.