Čiegis, Rajm.; Čiegis, Rem. Spectral stability of economical difference schemes. (Russian. English summary) Zbl 0753.65077 Differ. Uravn. Primen. 46, 90-97 (1991). Authors’ summary: Spectral stability of economical difference schemes, used for the solution of multidimensional transient problems is investigated. \(\rho\)-stability of such difference schemes is proved only for \(\rho\geq 1\). A new modification of the difference schemes which improves the stability of classical schemes is considered. Reviewer: J.Albrycht (Poznań) MSC: 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 35K15 Initial value problems for second-order parabolic equations Keywords:Spectral stability; economical difference schemes; multidimensional transient problems PDFBibTeX XMLCite \textit{Rajm. Čiegis} and \textit{Rem. Čiegis}, Differ. Uravn. Primen. 46, 90--97 (1991; Zbl 0753.65077)