Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4966043 | Engineering Analysis with Boundary Elements | 2017 | 9 Pages |
Abstract
The infinitely smooth RBF methods are theoretically spectrally accurate for applying on scattered data interpolation, and also partial differential equations, but the interpolation matrices of them are extremely ill-conditioned especially for strictly positive definite ones. Therefore, an efficient technique to recover this problem is too important. In this article, a general matrix decomposition method for strictly positive definite RBFs interpolation matrix has been investigated. In the current decomposition the RBFs interpolation matrix is obtained as multiplication of some well-conditioned matrices. This decomposition has been applied to RBF-DQ method and its results more accurate weight coefficients when we involve solving PDEs.
Related Topics
Physical Sciences and Engineering
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Computer Science Applications
Authors
Saeed Kazem, Ali Hatam,