# Advances in Applied Sciences, Engineering and Technology II by X. S. Zhao, Hongzong Si, Peilong Xu

By X. S. Zhao, Hongzong Si, Peilong Xu

By X. S. Zhao, Hongzong Si, Peilong Xu

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Efficient numerical methods for non-local operators

Hierarchical matrices current an effective method of treating dense matrices that come up within the context of indispensable equations, elliptic partial differential equations, and keep watch over conception. whereas a dense $n\times n$ matrix in regular illustration calls for $n^2$ devices of garage, a hierarchical matrix can approximate the matrix in a compact illustration requiring in basic terms $O(n ok \log n)$ devices of garage, the place $k$ is a parameter controlling the accuracy.

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