Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Adaptive Approximation by General Haar's Spaces. / Burova, I. G.; Демьянович, Юрий Казимирович.
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 147-152 9402490 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Adaptive Approximation by General Haar's Spaces
AU - Burova, I. G.
AU - Демьянович, Юрий Казимирович
N1 - Publisher Copyright: © 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2020/7
Y1 - 2020/7
N2 - Embedded spaces of Haar type on arbitrary irregular grids are discussed. The mentioned spaces are selected adaptively depending on the initial numerical flow. To expand the criteria for adaptability, two types of pseudo-measure are introduced. One type of pseudo-measure is defined on the segments of the real axis, and the other type is set on the subsets of the initial grid. Introduced concepts are used to construct embedded the Haar spaces with adaptivity properties in the norms of the spaces C. The approximate properties are determined by constructed spaces. The computational complexity of the obtained algorithm is investigated. The complexity is directly proportional to the length of the initial number flow.
AB - Embedded spaces of Haar type on arbitrary irregular grids are discussed. The mentioned spaces are selected adaptively depending on the initial numerical flow. To expand the criteria for adaptability, two types of pseudo-measure are introduced. One type of pseudo-measure is defined on the segments of the real axis, and the other type is set on the subsets of the initial grid. Introduced concepts are used to construct embedded the Haar spaces with adaptivity properties in the norms of the spaces C. The approximate properties are determined by constructed spaces. The computational complexity of the obtained algorithm is investigated. The complexity is directly proportional to the length of the initial number flow.
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=85105255009&partnerID=8YFLogxK
U2 - 10.1109/CSCC49995.2020.00034
DO - 10.1109/CSCC49995.2020.00034
M3 - Conference contribution
AN - SCOPUS:85105255009
T3 - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
SP - 147
EP - 152
BT - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Y2 - 19 July 2020 through 22 July 2020
ER -
ID: 76977564