The accuracy of the discrete analogues of the spectral problems for some elliptic operators.
The accuracy of the approximation methods for solving an abstract Cauchy problem.
Main publications:
Makarov V. L., Maiko N. V., Ryabichev V. L., “Tochnist nablizhennya operatorno¿ eksponenti [Tochnost priblizheniya operatornoi eksponenty]”, Visnik Ki¿vskogo universitetu, 2002, № 4, 192–197 (Ukr.)
N.V.Maiko, V.L. Ryabichev, “Teoremy priblizheniya operatornykh eksponenty i kosinusa”, Kibernetika i sistemnyi analiz, 2009, № 5, 145–152