Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\) (Q1952756)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\) |
scientific article; zbMATH DE number 6169841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\) |
scientific article; zbMATH DE number 6169841 |
Statements
Convergence and stability in collocation methods of equation \(u'(t) = au(t) + bu([t])\) (English)
0 references
3 June 2013
0 references
Summary: 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.
0 references
0 references
0 references
0 references
