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QTT approximation of elliptic solution operators in higher dimensions

  • B. N. Khoromskij EMAIL logo and I. V. Oseledets
Published/Copyright: July 14, 2011
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Russian Journal of Numerical Analysis and Mathematical Modelling
From the journal Volume 26 Issue 3

Abstract

In this paper QTT-approximations to elliptic solution operators with constant coefficients in d-dimensional cube are constructed. The ε-accurate representations of the Frobenius norm can be computed with the complexity O(d logqε–1), where d ⩾ 2 is the spatial dimension, and q ⩾ 2 is some fixed constant.

Published Online: 2011-07-14
Published in Print: 2011-June

© de Gruyter 2011

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