Spaces of the Haar Type on Arbitrary Irregular Grids

Abstract

The paper deals with Haar-type spaces on arbitrary irregular grids. The choice of non-uniform grids determines the characteristics of the Haar-type space that can be used to construct the wavelet decomposition. Thus, it becomes a possible adaptive choice of the design space depending on the incoming flow. In contrast to the classical approach, this paper considers the possibility of the adaptive compression of the initial flow. The complexity of the algorithm is directly proportional to the length of the initial number flow. Numerical examples are presented.