DIFFERENCE-SCHEMES WITH VARIABLE WEIGHTS FOR EVOLUTIONARY EQUATIONS OF THE 2ND-ORDER

Citation
Pn. Vabishchevich et al., DIFFERENCE-SCHEMES WITH VARIABLE WEIGHTS FOR EVOLUTIONARY EQUATIONS OF THE 2ND-ORDER, Doklady Akademii nauk BSSR, 38(3), 1994, pp. 13-15
Citations number
8
Categorie Soggetti
Multidisciplinary Sciences
Journal title
ISSN journal
0002354X
Volume
38
Issue
3
Year of publication
1994
Pages
13 - 15
Database
ISI
SICI code
0002-354X(1994)38:3<13:DWVWFE>2.0.ZU;2-6
Abstract
Operator-difference schemes with variable (including discontinuous) we ights for approximate solution finding of Cauchy problem for evolution al equation's of the second order are constructed in the present paper . The sufficient conditions that correspond to stability with respect to initial data and right sides for the main two versions of schemes w ith weights are obtained. Our research is based on Samarskii general t heory of the difference schemes stability.