The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes
This paper deals with a root condition for polynomial of the second degree. We propose the root condition criterion for such polynomial wiith complex coefficients. The criterion coincide with well-known Hurwitz criterion in the case of real coefficients. We apply this root condition criterion for s...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
1998-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Online Access: | https://ojs.test/index.php/LMR/article/view/37944 |
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| Summary: | This paper deals with a root condition for polynomial of the second degree. We propose the root condition criterion for such polynomial wiith complex coefficients. The criterion coincide with well-known Hurwitz criterion in the case of real coefficients. We apply this root condition criterion for some three-level finite-difference schemes for Kuramoto-Tsuzuki equations. We investigate polynomial symmetrical and DuFort-Frankel finite-difference schemes and polynomial for one odd-even scheme. We established spectral (conditionally or non-conditionally) stability for these schemes.
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| ISSN: | 0132-2818 2335-898X |