Gilbert Strang

Wavelets and dilation equations: a brief introduction

Wavelets are new families of basis functions that yield the representation

A Simple Mesh Generator in MATLAB

f(x) = \sum {b_{jk} W(2^j x - k)}

Functions of bounded deformation

. Their construction begins with the solution

Toeplitz Equations by Conjugate Gradients with Circulant Preconditioner

\phi (x)

VARIATIONAL CRIMES IN THE FINITE ELEMENT METHOD

to a dilation equation with coefficients

Approximation in the finite element method

c_k

Maximal flow through a domain

. Then W comes from

On factorization of M-channel paraunitary filterbanks

\phi

A Fourier Analysis of the Finite Element Variational Method

, and the basis comes by translation and dilation of W. It is shown in Part 1 how conditions on the

Piecewise polynomials and the finite element method

c_k