Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t])
Joint Authors
Yan, Han
Ma, Shufang
Liu, Yanbin
Sun, Hongquan
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-11
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
The conditions that the analytic stability region is contained in the numerical stability region are obtained, and some numerical experiments are given.
American Psychological Association (APA)
Yan, Han& Ma, Shufang& Liu, Yanbin& Sun, Hongquan. 2012. Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t]). Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-992960
Modern Language Association (MLA)
Yan, Han…[et al.]. Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t]). Journal of Applied Mathematics No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-992960
American Medical Association (AMA)
Yan, Han& Ma, Shufang& Liu, Yanbin& Sun, Hongquan. Convergence and Stability in Collocation Methods of Equation u′(t)=au(t)+bu([t]). Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-992960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992960
