Coefficient stability of operator‐difference schemes with time variable operators
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 stabili...
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Vilnius Gediminas Technical University
1998-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9999 |
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doaj-e5ff2e0e4be248309383ae347c734aa52021-07-02T06:05:38ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35101998-12-013110.3846/13926292.1998.9637098Coefficient stability of operator‐difference schemes with time variable operatorsI. N. Panayotova0University of Rousse , Student St. 8, Rousse, 7017, Bulgaria 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. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9999- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
I. N. Panayotova |
| spellingShingle |
I. N. Panayotova Coefficient stability of operator‐difference schemes with time variable operators Mathematical Modelling and Analysis - |
| author_facet |
I. N. Panayotova |
| author_sort |
I. N. Panayotova |
| title |
Coefficient stability of operator‐difference schemes with time variable operators |
| title_short |
Coefficient stability of operator‐difference schemes with time variable operators |
| title_full |
Coefficient stability of operator‐difference schemes with time variable operators |
| title_fullStr |
Coefficient stability of operator‐difference schemes with time variable operators |
| title_full_unstemmed |
Coefficient stability of operator‐difference schemes with time variable operators |
| title_sort |
coefficient stability of operator‐difference schemes with time variable operators |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
1998-12-01 |
| description |
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.
First Published Online: 14 Oct 2010
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| url |
https://journals.vgtu.lt/index.php/MMA/article/view/9999 |
| work_keys_str_mv |
AT inpanayotova coefficientstabilityofoperatordifferenceschemeswithtimevariableoperators |
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1721337875226689536 |