Stability of three‐level difference schemes with respect to the right‐hand side
In this paper we investigate three‐level difference schemes on non‐uniform grids in time. The a priori estimates of stability with respect to the initial data and the right‐hand side are obtained. New schemes of the raised order of approximation for wave equations are constructed and investigated....
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Vilnius Gediminas Technical University
2004-09-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9733 |
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doaj-472fa0e725234c04a89272d3289b281c2021-07-02T14:02:28ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102004-09-019310.3846/13926292.2004.9637257Stability of three‐level difference schemes with respect to the right‐hand sideE. L. Zyuzina0Department of Applied Mathematics and Informatics , Belarussian State University , F. Scoriny av. 4, Minsk, 220050, Belarus In this paper we investigate three‐level difference schemes on non‐uniform grids in time. The a priori estimates of stability with respect to the initial data and the right‐hand side are obtained. New schemes of the raised order of approximation for wave equations are constructed and investigated. Trisluoksnių baigtinių skirtumų schemų stabilumas dešiniosios pusės atžvilgiu Santrauka Straipsnyje nagrinėjamos trisluoksnės baigtinių skirtumų schemos su netolygiu laikinu žingsniu. Gauti aprioriniai stabilumo įverčiai pradinių duomenų ir dešiniosios pusės atžvilgiu. Pasiūlytos naujos aukštesnės aproksimacijos eilės baigtinių skirtumų schemos vienmatei bangos lygčiai. Pateikti skaitinio eksperimento rezultatai. First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/9733Three‐level difference schemenon‐uniform gridstability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
E. L. Zyuzina |
| spellingShingle |
E. L. Zyuzina Stability of three‐level difference schemes with respect to the right‐hand side Mathematical Modelling and Analysis Three‐level difference scheme non‐uniform grid stability |
| author_facet |
E. L. Zyuzina |
| author_sort |
E. L. Zyuzina |
| title |
Stability of three‐level difference schemes with respect to the right‐hand side |
| title_short |
Stability of three‐level difference schemes with respect to the right‐hand side |
| title_full |
Stability of three‐level difference schemes with respect to the right‐hand side |
| title_fullStr |
Stability of three‐level difference schemes with respect to the right‐hand side |
| title_full_unstemmed |
Stability of three‐level difference schemes with respect to the right‐hand side |
| title_sort |
stability of three‐level difference schemes with respect to the right‐hand side |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2004-09-01 |
| description |
In this paper we investigate three‐level difference schemes on non‐uniform grids in time. The a priori estimates of stability with respect to the initial data and the right‐hand side are obtained. New schemes of the raised order of approximation for wave equations are constructed and investigated.
Trisluoksnių baigtinių skirtumų schemų stabilumas dešiniosios pusės atžvilgiu
Santrauka
Straipsnyje nagrinėjamos trisluoksnės baigtinių skirtumų schemos su netolygiu laikinu žingsniu. Gauti aprioriniai stabilumo įverčiai pradinių duomenų ir dešiniosios pusės atžvilgiu. Pasiūlytos naujos aukštesnės aproksimacijos eilės baigtinių skirtumų schemos vienmatei bangos lygčiai. Pateikti skaitinio eksperimento rezultatai.
First Published Online: 14 Oct 2010
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| topic |
Three‐level difference scheme non‐uniform grid stability |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/9733 |
| work_keys_str_mv |
AT elzyuzina stabilityofthreeleveldifferenceschemeswithrespecttotherighthandside |
| _version_ |
1721328384717357056 |