On the Norms of Inverses of Pseudospectral Differentiation Matrices
On the Norms of Inverses of Pseudospectral Differentiation Matrices
复制标题
关于伪谱微分矩阵的逆范数
DOI：
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发表时间：
2004
影响因子：
2.9
通讯作者：
D. M. Sloan
中科院分区：
文献类型：
--
作者：
D. M. Sloan
本文给出了二阶伪谱微分矩阵逆阵元素的积分表达式。当使用Chebyshev配置点时，给出了这些逆矩阵的最大范数的简单上界。评论是失败的，以获得上界是均匀的配置点的数量时，点是均匀分布的。我们还给出了一阶Chebyshev伪谱微分矩阵的逆的积分表达式。
In this paper we give integral expressions for the elements of the inverses of second-order pseudospectral differentiation matrices. Simple upper bounds are given for the maximum norms of these inverse matrices when Chebyshev collocation points are used. Comment is made on the failure to obtain upper bounds that are uniform in the number of collocation points when the points are evenly spaced. We also give integral expressions for inverses of first-order Chebyshev pseudospectral differentiation matrices.