On the stability of LOD difference schemes with respect to boundary conditions

Article type: Research Article

Authors: Čiegis, Raimondas | Kiškis, Kęstutis

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania | The Department of Mathematics Vilnius University, 2600 Vilnius, Naugarduko St. 24, Lithuania

Abstract: The convergence properties of some LOD schemes are considered. New stability estimates with respect to boundary conditions are proved. These results are used to investigate the accuracy of LOD schemes when no special boundary correction technique is used for the realization of LOD schemes. The accuracy of LOD schemes with corrected boundary conditions is also investigated. Results of the computational experiment are given.

Keywords: LOD schemes, stability, correction of boundary conditions, unconditional convergence, computational experiment

DOI: 10.3233/INF-1994-53-403

Journal: Informatica, vol. 5, no. 3-4, pp. 297-323, 1994