QTT approximation of elliptic solution operators in higher dimensions

被引：32
|
作者：
Khoromskij, B. N. [1 ]
Oseledets, I. V. [2 ]
机构：
[1] Max Planck Inst Math Sci, D-04103 Leipzig, Germany
[2] Russian Acad Sci, Inst Numer Math, Moscow 119333, Russia
来源：
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2011年 / 26卷 / 03期
关键词：
TENSOR APPROXIMATION; MATRICES;
D O I：
10.1515/RJNAMM.2011.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper QTT-approximations to elliptic solution operators with constant coefficients in d-dimensional cube are constructed. The epsilon-accurate representations of the Frobenius norm can be computed with the complexity O(d log(q) epsilon(-1)), where d >= 2 is the spatial dimension, and q >= 2 is some fixed constant.
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页码：303 / 322
页数：20
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