ABSTRACT
These formulas were derived in §1.4. For these, we list the following programs corresponding to the equations in §1.4:
Where Used Program
Formula (1.4.3-4) basis_period.m (*) Formula (1.4.13) wavelet_basis_even_int.m Formula (1.4.16) wavelet_basis_even_half.m Formula (1.4.19) wavelet_basis_odd_int.m Formula (1.4.22) wavelet_basis_odd_half.m Formula (1.4.17) wavelet_basis_even_half_cos.m Formula (1.4.18) wavelet_basis_even_half_sin.m Formula (1.4.95) waveletintmat_e_int.m formula (1.4.94) waveletintmat_o_int.m Example 3.10.1 wavelet_main_odd_half.m Example 3.10.1 wavelet_main_even_int.m (*) Example 3.10.1 wavelet_main_odd_int.m (*) Deriv. similar to (1.4.94) waveletintmat_e_half.m (*)
waveletintmat_o_half.m (*) -- uses wavelet_basis_odd_half.m (*)
DFT: Formula (1.4.110) ftransmat.m DFT inv. Formula (1.4.116) ftransmatinv. m Example 3.10.2 wavelet_main_even_half.m
-- uses wavelet_basis_even_half_cos.m wavelet_basis_even_half_sin.m
Sec. 3.10.2 wavelet_ode_ivp_nl1.m
-- uses waveletintmat_e_int.m wavelet_basis_even_int.m
Equation 1.4.93 waveletint_e.m Equation 1.4.93 waveletint_o.m (*)
Formulas of Sinc-Pack are one dimensional. But because of separation of variables, these one dimensional formulas can be used to solve multidimensional PDE problems, i.e., without use of large matrices. These one-dimensional matrix-vector operations are discussed in §3.1.
