The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes
Articles
Artūras Štikonas
Institute of Mathematics and Informatics
Published 1998-12-14
https://doi.org/10.15388/LMD.1998.37944
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How to Cite

Štikonas, A. (1998) “The root condition for polynomial of the second degree and a spectral analysis for three-level finite-difference schemes”, Lietuvos matematikos rinkinys, 38(II), pp. 396–401 . doi:10.15388/LMD.1998.37944.

Abstract

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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