A modification on strictly positive definite RBF-DQ method based on matrix decomposition

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• 作者：Saeed Kazem ^{SaeedKazem@gmail.com SaeedKazem@aut.ac.ir} ; Ali Hatam ; ^{alihatam@aut.ac.ir}
• 关键词：65M20 ; 65M06
• 刊名：Engineering Analysis with Boundary Elements
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：76
• 期：Complete
• 页码：90-98
• 全文大小：842 K
• 卷排序：76

文摘

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.