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Volume 20, Issue 5
Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

Ji-Ming Wu & Long-Jun Shen

J. Comp. Math., 20 (2002), pp. 551-560.

Published online: 2002-10

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  • Abstract

It has been observed numerically in [1] that, under certain conditions, all eigenvalues of the first-order Hermite cubic spline collocation differentiation matrices with unsymmetrical collocation points lie in one of the half complex planes. In this paper, we provide a theoretical proof for this spectral result.

  • Keywords

Spline collocation, Differentiation matrices, Spectral analysis.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-551, author = {Wu , Ji-Ming and Shen , Long-Jun}, title = {Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {5}, pages = {551--560}, abstract = {

It has been observed numerically in [1] that, under certain conditions, all eigenvalues of the first-order Hermite cubic spline collocation differentiation matrices with unsymmetrical collocation points lie in one of the half complex planes. In this paper, we provide a theoretical proof for this spectral result.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8940.html} }
TY - JOUR T1 - Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices AU - Wu , Ji-Ming AU - Shen , Long-Jun JO - Journal of Computational Mathematics VL - 5 SP - 551 EP - 560 PY - 2002 DA - 2002/10 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8940.html KW - Spline collocation, Differentiation matrices, Spectral analysis. AB -

It has been observed numerically in [1] that, under certain conditions, all eigenvalues of the first-order Hermite cubic spline collocation differentiation matrices with unsymmetrical collocation points lie in one of the half complex planes. In this paper, we provide a theoretical proof for this spectral result.

Wu , Ji-Ming and Shen , Long-Jun. (2002). Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices. Journal of Computational Mathematics. 20 (5). 551-560. doi:
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