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On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations

✍ Scribed by Engelborghs, K.; Roose, D.


Book ID
120205352
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
651 KB
Volume
40
Category
Article
ISSN
0036-1429

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Efficient computation of characteristic
✍ Koen Verheyden; Tatyana Luzyanina; Dirk Roose πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 583 KB

We aim at the efficient computation of the rightmost, stability-determining characteristic roots of a system of delay differential equations. The approach we use is based on the discretization of the time integration operator by a linear multistep (LMS) method. The size of the resulting algebraic ei