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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 proceedingConference contributionResearchpeer-review

Harvard

Burova, IG & Демьянович, ЮК 2020, Adaptive Approximation by General Haar's Spaces. in Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020., 9402490, Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Institute of Electrical and Electronics Engineers Inc., pp. 147-152, 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020, Platanias, Chania, Crete Island, Greece, 19/07/20. https://doi.org/10.1109/CSCC49995.2020.00034

APA

Burova, I. G., & Демьянович, Ю. К. (2020). Adaptive Approximation by General Haar's Spaces. In Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 (pp. 147-152). [9402490] (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CSCC49995.2020.00034

Vancouver

Burova IG, Демьянович ЮК. Adaptive Approximation by General Haar's Spaces. In 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). https://doi.org/10.1109/CSCC49995.2020.00034

Author

Burova, I. G. ; Демьянович, Юрий Казимирович. / Adaptive Approximation by General Haar's Spaces. Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 147-152 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).

BibTeX

@inproceedings{583b33f2fe9c48bea79fe845d02b5e1e,
title = "Adaptive Approximation by General Haar's Spaces",
abstract = "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.",
keywords = "adaptive grids, Haar type spaces, pseudo-measure, the computational complexity of the approximation",
author = "Burova, {I. G.} and Демьянович, {Юрий Казимирович}",
note = "Publisher Copyright: {\textcopyright} 2020 IEEE. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.; 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020 ; Conference date: 19-07-2020 Through 22-07-2020",
year = "2020",
month = jul,
doi = "10.1109/CSCC49995.2020.00034",
language = "English",
series = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "147--152",
booktitle = "Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020",
address = "United States",

}

RIS

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