INFORMATICA

Informatica

0868-49520868-4952

INF53-403

10.3233/INF-1994-53-403

Research article

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

Čiegis

Raimondas

Kiškis

Kęstutis

Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, LithuaniaThe Department of Mathematics Vilnius University, 2600 Vilnius, Naugarduko St. 24, Lithuania

01011994

53-4297323

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.

KeywordsLOD schemesstabilitycorrection of boundary conditionsunconditional convergencecomputational experiment