[PDF.55et] Efficient Numerical Methods for Non-local Operators: $\mathcal{h}^2$-matrix Compression, Algorithms and Analysis (Ems Tracts in Mathematics)

Efficient Numerical Methods for Non-local Operators: $\mathcal{h}^2$-matrix Compression, Algorithms and Analysis (Ems Tracts in Mathematics)

[PDF.bg59] Efficient Numerical Methods for Non-local Operators: $\mathcal{h}^2$-matrix Compression, Algorithms and Analysis (Ems Tracts in Mathematics)

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 | #5205555 in Books |  2010-12-15 | Original language:English |  9.50 x7.00 x1.25l,2.20 | File type: PDF | 441 pages

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Hierarchical matrices present an efficient way of treating dense matrices that arise in the context of integral equations, elliptic partial differential equations, and control theory. While a dense $n\times n$ matrix in standard representation requires $n^2$ units of storage, a hierarchical matrix can approximate the matrix in a compact representation requiring only $O(n k \log n)$ units of storage, where $k$ is a parameter controlling the accuracy. Hierarchical matrice...

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