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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1841561138446204928 |
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| author | Artūras Štikonas |
| author_facet | Artūras Štikonas |
| author_sort | Artūras Štikonas |
| collection | DOAJ |
| description |
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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| format | Article |
| id | doaj-art-b68a761bc2434261961bc7341c814c98 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 1998-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-b68a761bc2434261961bc7341c814c982025-01-03T06:37:50ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X1998-12-0138II10.15388/LMD.1998.37944The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemesArtūras Štikonas0Institute of Mathematics and Informatics 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. https://ojs.test/index.php/LMR/article/view/37944 |
| spellingShingle | Artūras Štikonas The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes Lietuvos Matematikos Rinkinys |
| title | The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes |
| title_full | The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes |
| title_fullStr | The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes |
| title_full_unstemmed | The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes |
| title_short | The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes |
| title_sort | root condition for polynomial of the second degree and a spectral analysis for three level finite difference schemes |
| url | https://ojs.test/index.php/LMR/article/view/37944 |
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