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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Artikel in diesem Heft
- The study and numerical solution of the inverse problem of heat flows in the ocean dynamics model based on ARGO buoys data
- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
- Probabilistic-algebraic algorithms of Monte Carlo methods
Artikel in diesem Heft
- The study and numerical solution of the inverse problem of heat flows in the ocean dynamics model based on ARGO buoys data
- Statistical simulation of an exponentially correlated many-dimensional random field
- Application of statistical methods for the study of kinetic model of traffic flow with separated accelerations
- Fast calculation of signal delay in RC-circuits based on Laguerre functions
- QTT approximation of elliptic solution operators in higher dimensions
- Probabilistic-algebraic algorithms of Monte Carlo methods