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- W7264485 abstract "In the present paper, we present the numerical analysis of the Quantics-TensorTrain (QTT) methods for numerical solution of the elliptic equations in higher dimensions. The e-accurate solutions in the Frobenius norm can be computed with the complexity O(d log e−1), where d ≥ 2 is the spatial dimension, and q ≥ 2 is some fixed constant. This seems to be the nearly optimal asymptotical computational cost to be expected in the d-dimensional numerical simulations. AMS Subject Classification: 65F50, 65F30, 46B28, 47A80" @default.
- W7264485 created "2016-06-24" @default.
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- W7264485 date "2009-12-16" @default.
- W7264485 modified "2023-09-26" @default.
- W7264485 title "Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions" @default.
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