Multiscale and multiphysics problems need novel numerical methods in order for them to be
solved correctly and predictively. To that end, we develop a wavelet-based technique to …

We present a numerical method which exploits the biorthogonal interpolating wavelet family,
and second-generation wavelets, to solve initial–boundary value problems on finite …

The multiscale complexity of modern problems in computational science and engineering
can prohibit the use of traditional numerical methods in multi-dimensional simulations …

We present an algorithm for the construction of a new class of compactly supported
interpolating refinable functions that we call the second generation class since, contrary to …

The necessity to process data which live in nonlinear geometries (eg motion capture data,
unit vectors, subspaces, positive definite matrices) has led to some recent developments in …

Hartenâ s interpolatory multiresolution representation of data has been extended in the case
of point-value discretization to include Hermite interpolation by Warming and Beam in [17] …

A NEW PROOF OF THE SMOOTHNESS OF 4-POINT DESLAURIERS-DUBUC SCHEME 1.
Introduction The stationary binary subdivision scheme is a Page 1 J. Appl. Math. & Computing …

Although initially studied in the late 1940s by G. de Rham, subdivision schemes had to wait
the development of computer graphics, roughly the 1970s, to start being actively studied and …

General purpose optimization techniques can be used to solve many problems in
engineering computations, although their cost is often prohibitive when the number of …

In recent years wavelets decompositions have been widely used in computational Maxwell's
curl equations, to effectively resolve complex problems. In this paper, we review different …