This is a repository for some of the program files made in the
REU program.
### Mike Usher

download

** readme.txt ** a summary of my work and descriptions of my programs.
(All other files are Maple programs):
** nd_even ** Computes the "new basis" functions for the
space H_n in terms of the old basis functions, where n is even.
Also computes the numbers p[i], q[i], f[i], and g[i].
** nd_matrices ** Same as "nd_even," but for n odd.
** gip_2 ** Computes inner products and energies of the
"new basis" functions.
** h_basis_to_level_k ** Finds the functions in the basis of harmonic
functions to any specified depth in the Sierpinski gasket; needed for
Finite Element Method.
** bh_basis_to_level_k ** Same as "h_basis_to_level_k," but for
the biharmonic basis.
** ternary_to_matrix(bh), ternary_to_matrix(h), integration(bh),
integration(h), time_matrix, time_matrix(h) ** All these files compute
certain matrices or vectors used in the Finite Element Method (see
readme.txt for more details)
All files of form ** temp*.m ** These are Maple output files
which may be used to avoid having to compute things that have already
been computed. They are described specifically in "readme."

### Karl Papadantonakis

henon