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SPECTRAL ANALYSIS OF THE FIRST-ORDER HERMITE CUBIC SPLINE COLLOCATION DIFFERENTIATION MATRICES

SPECTRAL ANALYSIS OF THE FIRST-ORDER HERMITE CUBIC SPLINE COLLOCATION DIFFERENTIATION MATRICES
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摘要 Presents a study that determined a theoretical proof for the spectral analysis result of the first-order Hermite cubic spline collocation differentation matrices. Background on the Hermite cubic spline collocation method; Basis of the argumentation in the study regarding the condensation technique and the Hurwitz theorem; Numerical results. Presents a study that determined a theoretical proof for the spectral analysis result of the first-order Hermite cubic spline collocation differentation matrices. Background on the Hermite cubic spline collocation method; Basis of the argumentation in the study regarding the condensation technique and the Hurwitz theorem; Numerical results.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2002年第5期551-560,共10页 计算数学(英文)
基金 The Project supported by A Grant from the Research Grants Council of the Hong Kong Spelial Administrative Region, China (Project No. CityU 1061/00p) the Foundation of Chinese Academy of Engineering Physics.
关键词 spline collocation differentiation matrices spectral analysis spline collocation differentiation matrices spectral analysis
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参考文献1

  • 1John H. Cerutti,Seymour V. Parter.Collocation methods for parabolic partial differential equations in one space dimension[J].Numerische Mathematik.1976(3)

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