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On a two families of efficient fifth order schemes for solving ODE systems. / Kovrizhnykh, Nikolai A.; Eremin, Alexey S.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ed. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 030014 (AIP Conference Proceedings; Vol. 1959).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Harvard

Kovrizhnykh, NA & Eremin, AS 2018, On a two families of efficient fifth order schemes for solving ODE systems. in E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. vol. 1959, 030014, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics - Eighth Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034594

APA

Kovrizhnykh, N. A., & Eremin, A. S. (2018). On a two families of efficient fifth order schemes for solving ODE systems. In E. Kustova, G. Leonov, N. Morosov, M. Yushkov, & M. Mekhonoshina (Eds.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics (Vol. 1959). [030014] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034594

Vancouver

Kovrizhnykh NA, Eremin AS. On a two families of efficient fifth order schemes for solving ODE systems. In Kustova E, Leonov G, Morosov N, Yushkov M, Mekhonoshina M, editors, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Vol. 1959. American Institute of Physics. 2018. 030014. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034594

Author

Kovrizhnykh, Nikolai A. ; Eremin, Alexey S. / On a two families of efficient fifth order schemes for solving ODE systems. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. editor / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{54f0f414c6e0481ba5525af92d7a9214,
title = "On a two families of efficient fifth order schemes for solving ODE systems",
abstract = "Two families of structural four-stage Runge-Kutta methods of order five are considered. The choice of the scheme with the best numerical properties in each family is justified. The comparison of classical and Runge-Kutta-Nystr{\"o}m fifth order methods is shown and the better performance for some test problems is demonstrated.",
keywords = "Teil von Buch: ISBN 978-3-446-45340-1, eBook: ISBN 978-3-446-45348-7",
author = "Kovrizhnykh, {Nikolai A.} and Eremin, {Alexey S.}",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034594",
language = "English",
isbn = "9780735416604",
volume = "1959",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "E Kustova and G Leonov and N Morosov and M Yushkov and M Mekhonoshina",
booktitle = "EIGHTH POLYAKHOV'S READING",
address = "United States",
note = "International Scientific Conference on Mechanics - Eighth Polyakhov's Reading : 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",
url = "https://events.spbu.ru/events/polyakhov_readings, http://nanomat.spbu.ru/en/node/175, http://nanomat.spbu.ru/ru/node/192, http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya",

}

RIS

TY - GEN

T1 - On a two families of efficient fifth order schemes for solving ODE systems

AU - Kovrizhnykh, Nikolai A.

AU - Eremin, Alexey S.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - Two families of structural four-stage Runge-Kutta methods of order five are considered. The choice of the scheme with the best numerical properties in each family is justified. The comparison of classical and Runge-Kutta-Nyström fifth order methods is shown and the better performance for some test problems is demonstrated.

AB - Two families of structural four-stage Runge-Kutta methods of order five are considered. The choice of the scheme with the best numerical properties in each family is justified. The comparison of classical and Runge-Kutta-Nyström fifth order methods is shown and the better performance for some test problems is demonstrated.

KW - Teil von Buch: ISBN 978-3-446-45340-1

KW - eBook: ISBN 978-3-446-45348-7

UR - http://www.scopus.com/inward/record.url?scp=85047183869&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/umsatz-gut-rendite-mangelhaft

U2 - 10.1063/1.5034594

DO - 10.1063/1.5034594

M3 - Conference contribution

AN - SCOPUS:85047183869

SN - 9780735416604

VL - 1959

T3 - AIP Conference Proceedings

BT - EIGHTH POLYAKHOV'S READING

A2 - Kustova, E

A2 - Leonov, G

A2 - Morosov, N

A2 - Yushkov, M

A2 - Mekhonoshina, M

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 34657510