Adaptive Spline-Wavelet Processing of a Discrete Flow

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Adaptive Spline-Wavelet Processing of a Discrete Flow. / Dem’yanovich, Yu K.; Ponomareva, A. Yu.

In: Journal of Mathematical Sciences, Vol. 210, No. 4, 01.10.2015, p. 371-390.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{dbd4dcadefd84f02910f5ef2cebf8e1b,

title = "Adaptive Spline-Wavelet Processing of a Discrete Flow",

abstract = "We propose adaptive algorithms for constructing a spline-wavelet decomposition that provides an a priori given estimate for deviation of the main flow from the initial one. We introduce the notions of a pseudouniform grid and an adaptive type grid. We establish difference representations of the deviation of the main flows from the initial one. We estimate volumes of data used in the main flow under different characteristics of irregularity of the initial flow in the cases of a pseudouniform grid and an adaptive type grid under the same approximation. We also clarify the limit characteristics of these volumes in the case where the initial flow is generated by a differentiable function. Bibliography: 5 titles.",

author = "Dem{\textquoteright}yanovich, {Yu K.} and Ponomareva, {A. Yu}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media New York.",

year = "2015",

month = oct,

day = "1",

doi = "10.1007/s10958-015-2571-6",

language = "English",

volume = "210",

pages = "371--390",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "4",

}

RIS

TY - JOUR

T1 - Adaptive Spline-Wavelet Processing of a Discrete Flow

AU - Dem’yanovich, Yu K.

AU - Ponomareva, A. Yu

PY - 2015/10/1

Y1 - 2015/10/1

N2 - We propose adaptive algorithms for constructing a spline-wavelet decomposition that provides an a priori given estimate for deviation of the main flow from the initial one. We introduce the notions of a pseudouniform grid and an adaptive type grid. We establish difference representations of the deviation of the main flows from the initial one. We estimate volumes of data used in the main flow under different characteristics of irregularity of the initial flow in the cases of a pseudouniform grid and an adaptive type grid under the same approximation. We also clarify the limit characteristics of these volumes in the case where the initial flow is generated by a differentiable function. Bibliography: 5 titles.

AB - We propose adaptive algorithms for constructing a spline-wavelet decomposition that provides an a priori given estimate for deviation of the main flow from the initial one. We introduce the notions of a pseudouniform grid and an adaptive type grid. We establish difference representations of the deviation of the main flows from the initial one. We estimate volumes of data used in the main flow under different characteristics of irregularity of the initial flow in the cases of a pseudouniform grid and an adaptive type grid under the same approximation. We also clarify the limit characteristics of these volumes in the case where the initial flow is generated by a differentiable function. Bibliography: 5 titles.

UR - http://www.scopus.com/inward/record.url?scp=84944682284&partnerID=8YFLogxK

U2 - 10.1007/s10958-015-2571-6

DO - 10.1007/s10958-015-2571-6

M3 - Article

VL - 210

SP - 371

EP - 390

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 3982501