Open AccessCOEFFICIENT STABILITY OF OPERATOR‐DIFFERENCE SCHEMES WITH TIME VARIABLE OPERATORS
Author(s) -
Iordanka N. Panayotova
Publication year - 1998
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.1998.9637098
Subject(s) - mathematics , operator (biology) , constant coefficients , perturbation (astronomy) , stability (learning theory) , variable coefficient , norm (philosophy) , semi elliptic operator , mathematical analysis , a priori and a posteriori , differential operator , operator norm , compact operator , variable (mathematics) , operator theory , computer science , physics , philosophy , repressor , law , chemistry , biochemistry , epistemology , quantum mechanics , machine learning , political science , transcription factor , programming language , extension (predicate logic) , gene
The problem of the coefficient stability for operator‐ difference schemes with variable operator is investigated. A priori coordinated estimates in the L 2‐norm are obtained for differential‐operator equations and operator‐difference schemes. Estimates in the energy space HA for coefficient stability and stability with respect to the right-hand side and the initial data are proved under more strong assumptions for operator's perturbation.