@Article{JCM-20-5, 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/2002-JCM-8940}, url = {https://global-sci.com/article/85430/spectral-analysis-of-the-first-order-hermite-cubic-spline-collocation-differentiation-matrices} }