TY - JOUR

T1 - Spaces of the haar type on arbitrary irregular grids

AU - Демьянович, Yu K.

AU - Burova, I. G.

N1 - Publisher Copyright: © 2020, World Scientific and Engineering Academy and Society. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - -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.

AB - -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.

KW - Adaptive grids

KW - Haar type spaces

KW - Pseudo-measure

KW - The computational complexity of the approximation

UR - http://www.scopus.com/inward/record.url?scp=85096380211&partnerID=8YFLogxK

U2 - 10.37394/23203.2020.15.59

DO - 10.37394/23203.2020.15.59

M3 - Article

AN - SCOPUS:85096380211

VL - 15

SP - 592

EP - 600

JO - WSEAS Transaction on Systems and Control

JF - WSEAS Transaction on Systems and Control

SN - 1991-8763

ER -