title: FAMILIES OF EMBEDDED METHODS OF ORDER SIX
metadata.name: dc.contributor.author
metadata.value: OLEMSKOY, IGOR V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: FIRYULINA, OXANA S.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: TUMKA, OLEG A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-08-17T21:00:57Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-08-17T21:00:57Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: OLEMSKOY I. V., FIRYULINA O. S., TUMKA O. A. FAMILIES OF EMBEDDED METHODS OF ORDER SIX. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2022, vol. 18, iss. 2, pp. 285–296.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: DOI: 10.21638/11701/spbu10.2022.209
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/37413
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper embedded methods of order six, with seven stages for solving systems of ordinary differential equations, are derived. A family of Runge- Kutta methods, of order six with seven stages and having three free parameters, is presented. This family is extended in two different ways with embedded methods to form families of embedded method pairs. Numerical comparison is given for certain examples of the embedded pairs from the constructed families.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 18; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: CAUCHY PROBLEM
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: EMBEDDED METHODS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ERROR CONTROL
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ORDER
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: STAGE
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: ORDER CONDITIONS
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: SIMPLIFYING CONDITIONS
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: FAMILIES OF EMBEDDED METHODS OF ORDER SIX
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 285-296.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/37413/1/285-296.pdf
resources.format: Adobe PDF
resources.size: 424,74 kB