Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])
This paper is concerned with the convergence, global superconvergence, local superconvergence, and stability of collocation methods for u′(t)=au(t)+bu([t]). The optimal convergence order and superconvergence order are obtained, and the stability regions for the collocation methods are determined. Th...
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Main Authors: | Han Yan, Shufang Ma, Yanbin Liu, Hongquan Sun |
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Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/125926 |
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