title: Functional continuous Runge–Kutta–Nyström methods
metadata.name: dc.contributor.author
metadata.value: Eremin, Alexey S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-12-22T10:28:47Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-12-22T10:28:47Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: A.S. Eremin. Functional continuous Runge–Kutta–Nyström methods // Electron. J. Qual. Theory Diff. Equ., Proc. 10'th Coll. Qual. Theory of Diff. Equ. 2016, No. 11, 1-17.
metadata.lang: en_GB
metadata.name: dc.identifier.issn
metadata.value: HU ISSN 1417-3875
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/5836
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Numerical methods for solving retarded functional differential equations of the second order with right-hand side independent of the function derivative are considered. The approach used by E. Nyström for second-order ordinary differential equations with the mentioned property is applied for construction of effective functional continuous methods. Order conditions are formulated, and example methods are constructed. They have fewer stages than Runge–Kutta type methods of the same order. Application of the constructed methods to test problems confirms their declared orders of convergence.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: Electron. J. Qual. Theory Diff. Equ., Proc. 10'th Coll. Qual. Theory Diff. Equ.
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: delay differential equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: second order equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Runge–Kutta methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: functional continuous methods
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Functional continuous Runge–Kutta–Nyström methods
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: EJQTDE, 2016.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/5836/1/EJQTDE%2c%202016.pdf
resources.format: Adobe PDF
resources.size: 673,81 kB