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Details for article 23 of 79 found articles
| Title: |
A uniform quantitative stiff stability estimate for BDF schemes |
| Author: |
Winfried Auzinger Wolfgang Herfort |
| Appeared in: |
Opuscula mathematica |
| Paging: | Volume 26 (2006) nr. 2 pages 203-227 |
| Year: |
2006 |
| Contents: |
The concepts of stability regions, A- and A($\alpha$)-stability – albeit based on scalar models – turned out to be essential for the identification of implicit methods suitable for the integration of stiff ODEs. However, for multistep methods, knowledge of the stability region provides no information on the quantitative stability behavior of the scheme. In this paper we fill this gap for the important class of Backward Differentiation Formulas (BDF). Quantitative stability bounds are derived which are uniformly valid in the stability region of the method. Our analysis is based on a study of the separation of the characteristic roots and a special similarity decomposition of the associated companion matrix. |
| Publisher: |
AGH University of Science and Technology (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 23 of 79 found articles
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