Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

Year:    2002

Author:    Ji-Ming Wu, Long-Jun Shen

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8940

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 5 : pp. 551–560

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Spline collocation Differentiation matrices Spectral analysis.

Author Details

Ji-Ming Wu

Long-Jun Shen