Coefficient stability of operator–difference schemes
A priori estimates expressing continuous dependence of the solution of a first order evolutionary equation in Hubert space on initial condition, right hand side and operator perturbations are obtained in time–integral norms. Analogous results hold for corresponding finite difference schemes. Ope...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
1999-12-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9977 |
| Summary: | A priori estimates expressing continuous dependence of the solution of a first order evolutionary equation in Hubert space on initial condition, right hand side and operator perturbations are obtained in time–integral norms. Analogous results hold for corresponding finite difference schemes.
Operatorinių-diferencialinių schemų koeficientis stabilumas
Santrauka
Darbe tiriamas pirmosios eiles nestacionariu diferencialiniu lygčiu, apibrežtu Huberto erdvese, stabilumas pradines salygos, laisvuju nariu ir operatoriaus koeficientu atžvilgiu. Stabilumo iverčiai irodomi integralinese laiko atžvilgiu normose. Analogiški rezultatai gauti ir baigtiniu skirtumu schemoms. Irodyti stipraus stabilumo iverčiai, kai modifikuojami lygties operatorius ir pradine salyga. Teoriniai rezultatai pritaikyti vienmačiam šilumos laidumo uždaviniui ir ji aproksimuojančiai baigtiniu skirtumu schemai.
First Published Online: 14 Oct 2010
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| ISSN: | 1392-6292 1648-3510 |