Rogava, Dzh. L. Stability and convergence of some semidiscrete three layer schemes for evolution problems. (Russian. English summary) Zbl 0553.34009 Soobshch. Akad. Nauk Gruz. SSR 114, 57-60 (1984). Using Chebyshev polynomials of two variables for non-stationary equations of the first and second order in the case of the Cauchy problem, the stability and the convergence of some semidiscrete three-layer schemes are defined in a Hilbert space. MSC: 34A45 Theoretical approximation of solutions to ordinary differential equations 34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations Keywords:Chebyshev polynomials of two variables; semidiscrete three-layer schemes; Hilbert space PDFBibTeX XMLCite \textit{Dzh. L. Rogava}, Soobshch. Akad. Nauk Gruz. SSR 114, 57--60 (1984; Zbl 0553.34009)