Piskarev, S. On the approximation of holomorphic semigroups. (Russian) Zbl 0428.35008 Uch. Zap. Tartu. Gos. Univ. 492, Tr. Mat. Mekh. 24, 3-14 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 65N99 Numerical methods for partial differential equations, boundary value problems 35K99 Parabolic equations and parabolic systems 35A35 Theoretical approximation in context of PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 65Z05 Applications to the sciences 65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs Keywords:approximation theory; parabolic problems; Trotter-Kato theorem; holomorphic semigroups; forward and backward difference approximations; full discretisation PDF BibTeX XML OpenURL