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A new approach to the stability of linear functional operators

✍ Scribed by Boris Paneah


Publisher
Springer
Year
2009
Tongue
English
Weight
205 KB
Volume
78
Category
Article
ISSN
0001-9054

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A bound on powers of linear operators, w
✍ N. Borovykh; D. Drissi; M.N. Spijker πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 447 KB

In this note, we formulate a theorem giving bounds on the powers of linear operators, in a general Banach space setting. The relevance of the theorem is illustrated by applying it to the Crank-Nicholson method for the numerical solution of the heat equation. This application yields a stability estim