Research output: Contribution to journal › Article › peer-review
Adaptive Wavelet Decomposition of Matrix Flows. / Dem’yanovich, Yu. K.; Degtyarev, V. G.; Lebedinskaya, N. A.
In: Journal of Mathematical Sciences (United States), Vol. 232, No. 6, 01.08.2018, p. 816-829.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Adaptive Wavelet Decomposition of Matrix Flows
AU - Dem’yanovich, Yu. K.
AU - Degtyarev, V. G.
AU - Lebedinskaya, N. A.
N1 - Dem’yanovich, Y.K., Degtyarev, V.G. & Lebedinskaya, N.A. Adaptive Wavelet Decomposition of Matrix Flows. J Math Sci 232, 816–829 (2018). https://doi.org/10.1007/s10958-018-3911-0
PY - 2018/8/1
Y1 - 2018/8/1
N2 - Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic flow from the initial one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the initial flow are obtained in the cases of pseudo-equidistant and adaptive grids. Limit characteristics of the above-mentioned volumes are given in the cases where the initial flow is generated by differentiable functions.
AB - Adaptive algorithms for constructing spline-wavelet decompositions of matrix flows from a linear space of matrices over a normed field are presented. The algorithms suggested provides for an a priori prescribed estimate of the deviation of the basic flow from the initial one. Comparative bounds of the volumes of data in the basic flow for various irregularity characteristics of the initial flow are obtained in the cases of pseudo-equidistant and adaptive grids. Limit characteristics of the above-mentioned volumes are given in the cases where the initial flow is generated by differentiable functions.
UR - http://www.scopus.com/inward/record.url?scp=85049149427&partnerID=8YFLogxK
U2 - 10.1007/s10958-018-3911-0
DO - 10.1007/s10958-018-3911-0
M3 - Article
AN - SCOPUS:85049149427
VL - 232
SP - 816
EP - 829
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 35268106