Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations
Adam's methods in the multistep mode are considered by means of general schemes of the degenerate matrix method. The stability function for these methods is computed by the residue theory on the complex plane. Performance of uniformly and non‐uniformly distributed nodes in the standardized inte...
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2001-12-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9898 |
| _version_ | 1818874067879460864 |
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| author | T. Cirulis O. Lietuvietis |
| author_facet | T. Cirulis O. Lietuvietis |
| author_sort | T. Cirulis |
| collection | DOAJ |
| description | Adam's methods in the multistep mode are considered by means of general schemes of the degenerate matrix method. The stability function for these methods is computed by the residue theory on the complex plane. Performance of uniformly and non‐uniformly distributed nodes in the standardized interval is compared.
Apibendrinto Adanso metodo analizė
Santrauka
Darbe nagrinejamas daugiažingsnis Adamso metodas. Jis formuluojamas kaip atskiras atvejis bendros išsigimstančiu matricu schemos. Naudojantis rezidiumu metodu ištirtas Adamso metodo stabilumas. Palygintos stabilumo sritys, kai diskretieji mazgai yra pasiskirste tolygiai ir netolygiai.
First Published Online: 14 Oct 2010 |
| first_indexed | 2024-12-19T13:04:43Z |
| format | Article |
| id | doaj.art-510b65bb8f6b41d5a639334d791a77ee |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-19T13:04:43Z |
| publishDate | 2001-12-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-510b65bb8f6b41d5a639334d791a77ee2022-12-21T20:20:06ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102001-12-016210.3846/13926292.2001.9637158Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equationsT. Cirulis0O. Lietuvietis1Institute of Mathematics , Latvian Academy of Sciences and University of Latvia , Akadēmijas laukums 1, Riga, LV‐1524, LatviaInstitute of Mathematics , Latvian Academy of Sciences and University of Latvia , Akadēmijas laukums 1, Riga, LV‐1524, LatviaAdam's methods in the multistep mode are considered by means of general schemes of the degenerate matrix method. The stability function for these methods is computed by the residue theory on the complex plane. Performance of uniformly and non‐uniformly distributed nodes in the standardized interval is compared. Apibendrinto Adanso metodo analizė Santrauka Darbe nagrinejamas daugiažingsnis Adamso metodas. Jis formuluojamas kaip atskiras atvejis bendros išsigimstančiu matricu schemos. Naudojantis rezidiumu metodu ištirtas Adamso metodo stabilumas. Palygintos stabilumo sritys, kai diskretieji mazgai yra pasiskirste tolygiai ir netolygiai. First Published Online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/9898- |
| spellingShingle | T. Cirulis O. Lietuvietis Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations Mathematical Modelling and Analysis - |
| title | Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations |
| title_full | Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations |
| title_fullStr | Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations |
| title_full_unstemmed | Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations |
| title_short | Analysis of generalized multistep Adam's methods by degenerate matrix method for ordinary differential equations |
| title_sort | analysis of generalized multistep adam s methods by degenerate matrix method for ordinary differential equations |
| topic | - |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/9898 |
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