On stability of non-selfconjugated difference schemes with \(M\)-matrices for evolutionary boundary value problems with elliptic operator over the whole space. (English. Russian original) Zbl 0856.65096

Bochev, M. A.

Russ. Math. 39, No. 9, 13-20 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1995, No. 9 (400), 15-22 (1995).

The purpose of this paper is to study the stability analysis for implicit two-layered schemes for the solution of an initial-boundary value problem in a two-dimensional domain. No numerical experiment is presented. The paper is theoretical in nature.

Reviewer: P.K.Mahanti (Ranchi)

MSC:

65M06	Finite difference methods for initial value and initial-boundary value problems involving PDEs
35G10	Initial value problems for linear higher-order PDEs
35K25	Higher-order parabolic equations
65M12	Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

Keywords:

non-selfconjugated difference schemes; \(M\)-matrices; evolution equations; stability; implicit two-layered schemes; initial-boundary value problem