Standard

Functional continuous Runge-Kutta methods for cross-dependent retarded systems. / Eremin, A. S.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Том 1863 American Institute of Physics, 2017. 160005.

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Eremin, AS 2017, Functional continuous Runge-Kutta methods for cross-dependent retarded systems. в International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Том. 1863, 160005, American Institute of Physics, 14TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, Rhodes, Греция, 19/09/16. https://doi.org/10.1063/1.4992339

APA

Eremin, A. S. (2017). Functional continuous Runge-Kutta methods for cross-dependent retarded systems. в International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016 (Том 1863). [160005] American Institute of Physics. https://doi.org/10.1063/1.4992339

Vancouver

Eremin AS. Functional continuous Runge-Kutta methods for cross-dependent retarded systems. в International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Том 1863. American Institute of Physics. 2017. 160005 https://doi.org/10.1063/1.4992339

Author

Eremin, A. S. / Functional continuous Runge-Kutta methods for cross-dependent retarded systems. International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Том 1863 American Institute of Physics, 2017.

BibTeX

@inproceedings{b0ecdb23d2be4be9a68b7e009ef8fe85,
title = "Functional continuous Runge-Kutta methods for cross-dependent retarded systems",
abstract = "We consider here explicit Runge-Kutta type methods for systems of retarded functional differential equations of two equations with special structure. The right-hand sides are cross-dependent of the retarded unknown functions, i.e. the derivatives of unknowns don't depend on the same retarded unknowns (but may depend on their undelayed values). An attempt is made to construct functional continuous methods with fewer stages than it is necessary in case of functional continuous Runge-Kutta methods for general systems. Order conditions for order 4 and sample methods are presented and test problems, demonstrating the declared convergence order of the new methods, are solved. It is shown, however, that the use of the mentioned structure gives quite small advantage comparing to system structures considered earlier.",
author = "Eremin, {A. S.}",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992339",
language = "English",
volume = "1863",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
publisher = "American Institute of Physics",
address = "United States",
note = "International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
url = "http://icnaam.org/",

}

RIS

TY - GEN

T1 - Functional continuous Runge-Kutta methods for cross-dependent retarded systems

AU - Eremin, A. S.

PY - 2017/7/21

Y1 - 2017/7/21

N2 - We consider here explicit Runge-Kutta type methods for systems of retarded functional differential equations of two equations with special structure. The right-hand sides are cross-dependent of the retarded unknown functions, i.e. the derivatives of unknowns don't depend on the same retarded unknowns (but may depend on their undelayed values). An attempt is made to construct functional continuous methods with fewer stages than it is necessary in case of functional continuous Runge-Kutta methods for general systems. Order conditions for order 4 and sample methods are presented and test problems, demonstrating the declared convergence order of the new methods, are solved. It is shown, however, that the use of the mentioned structure gives quite small advantage comparing to system structures considered earlier.

AB - We consider here explicit Runge-Kutta type methods for systems of retarded functional differential equations of two equations with special structure. The right-hand sides are cross-dependent of the retarded unknown functions, i.e. the derivatives of unknowns don't depend on the same retarded unknowns (but may depend on their undelayed values). An attempt is made to construct functional continuous methods with fewer stages than it is necessary in case of functional continuous Runge-Kutta methods for general systems. Order conditions for order 4 and sample methods are presented and test problems, demonstrating the declared convergence order of the new methods, are solved. It is shown, however, that the use of the mentioned structure gives quite small advantage comparing to system structures considered earlier.

UR - http://www.scopus.com/inward/record.url?scp=85026671730&partnerID=8YFLogxK

U2 - 10.1063/1.4992339

DO - 10.1063/1.4992339

M3 - Conference contribution

AN - SCOPUS:85026671730

VL - 1863

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016

PB - American Institute of Physics

T2 - International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016

Y2 - 19 September 2016 through 25 September 2016

ER -

ID: 14857593