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http://hdl.handle.net/11701/16383
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Bulatov, Mikhail V. | - |
dc.contributor.author | Hadizadeh, Mahmoud | - |
dc.contributor.author | Chistyakova, Elena V. | - |
dc.date.accessioned | 2019-10-18T11:54:40Z | - |
dc.date.available | 2019-10-18T11:54:40Z | - |
dc.date.issued | 2019-09 | - |
dc.identifier.citation | Bulatov M. V., Hadizadeh M., Chistyakova E. V. Construction of implicit multistep methods for solving integral algebraic equations. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 3, pp. 310–322. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2019.302 | - |
dc.identifier.uri | http://hdl.handle.net/11701/16383 | - |
dc.description.abstract | This paper discusses techniques for construction of implicit stable multistep methods for solving systems of linear Volterra integral equations with a singular matrix multiplying the leading part, which means that systems under consideration comprise Volterra equations of the first kind as well as Volterra equations of the second kind. Methods for solving first kind Volterra equations so far have been justified only for some special cases, for example, for linear equations with a kernel that does not vanish on the diagonal for all points of the segment. We present a theoretical analysis of solvability of the systems under study, single out classes of two- and three-step numerical methods of order two and three, respectively, and provide examples to illustrate our theoretical assumptions. The experimental results indicate that the stability of the methods can be controlled by some weight parameter that should be chosen from a prescribed interval to provide the necessary stability of the algorithms. | en_GB |
dc.description.sponsorship | M. V. Bulatov and E. V. Chistyakova acknowledge the financial support from the Russian Foundation for Basic Research (projects N 18-51-54001, 18-01-00643, 18-29-10019). | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 3 | - |
dc.subject | system of Volterra equations | en_GB |
dc.subject | integral algebraic equation | en_GB |
dc.subject | multistep method | en_GB |
dc.subject | quadrature formulas, stability analysis | en_GB |
dc.title | Construction of implicit multistep methods for solving integral algebraic equations | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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310-322.pdf | 681,38 kB | Adobe PDF | Просмотреть/Открыть |
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