Standard

Sixth order method with six stages for integrating special systems of ordinary differential equations. / Olemskoy, Igor V.; Eremin, Alexey S.; Ivanov, Anatoly P.

"Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.. Institute of Electrical and Electronics Engineers Inc., 2015.

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

Harvard

Olemskoy, IV, Eremin, AS & Ivanov, AP 2015, Sixth order method with six stages for integrating special systems of ordinary differential equations. in "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.. Institute of Electrical and Electronics Engineers Inc., International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015, St. Petersburg, Russian Federation, 5/10/15. https://doi.org/10.1109/SCP.2015.7342077

APA

Olemskoy, I. V., Eremin, A. S., & Ivanov, A. P. (2015). Sixth order method with six stages for integrating special systems of ordinary differential equations. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct. Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SCP.2015.7342077

Vancouver

Olemskoy IV, Eremin AS, Ivanov AP. Sixth order method with six stages for integrating special systems of ordinary differential equations. In "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.. Institute of Electrical and Electronics Engineers Inc. 2015 https://doi.org/10.1109/SCP.2015.7342077

Author

Olemskoy, Igor V. ; Eremin, Alexey S. ; Ivanov, Anatoly P. / Sixth order method with six stages for integrating special systems of ordinary differential equations. "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.. Institute of Electrical and Electronics Engineers Inc., 2015.

BibTeX

@inproceedings{46c533c057d547cda8e8b9d84900df36,
title = "Sixth order method with six stages for integrating special systems of ordinary differential equations",
abstract = "An explicit Runge-Kutta type method for systems of ordinary differential equations with special structure is considered. For partitioned systems a family of explicit methods of order six with just six stages is constructed, which makes them more efficient than classic Runge-Kutta methods of order six. It is shown that second order differential equations, which right-hand side doesn't depend on the first derivative, can be rewritten as the considered partitioned systems. Direct application of the constructed methods to them generates two different families of Runge-Kutta-Nystr{\"o}m methods. The comparison of constructed methods with known methods of order six is held.",
author = "Olemskoy, {Igor V.} and Eremin, {Alexey S.} and Ivanov, {Anatoly P.}",
year = "2015",
doi = "10.1109/SCP.2015.7342077",
language = "English",
isbn = "9781467376983",
booktitle = "{"}Stability and Control Processes{"} in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "International Conference on {"}Stability and Control Processes{"} in Memory of V.I. Zubov, SCP 2015 ; Conference date: 05-10-2015 Through 09-10-2015",
url = "http://www.apmath.spbu.ru/scp2015/openconf.php",

}

RIS

TY - GEN

T1 - Sixth order method with six stages for integrating special systems of ordinary differential equations

AU - Olemskoy, Igor V.

AU - Eremin, Alexey S.

AU - Ivanov, Anatoly P.

PY - 2015

Y1 - 2015

N2 - An explicit Runge-Kutta type method for systems of ordinary differential equations with special structure is considered. For partitioned systems a family of explicit methods of order six with just six stages is constructed, which makes them more efficient than classic Runge-Kutta methods of order six. It is shown that second order differential equations, which right-hand side doesn't depend on the first derivative, can be rewritten as the considered partitioned systems. Direct application of the constructed methods to them generates two different families of Runge-Kutta-Nyström methods. The comparison of constructed methods with known methods of order six is held.

AB - An explicit Runge-Kutta type method for systems of ordinary differential equations with special structure is considered. For partitioned systems a family of explicit methods of order six with just six stages is constructed, which makes them more efficient than classic Runge-Kutta methods of order six. It is shown that second order differential equations, which right-hand side doesn't depend on the first derivative, can be rewritten as the considered partitioned systems. Direct application of the constructed methods to them generates two different families of Runge-Kutta-Nyström methods. The comparison of constructed methods with known methods of order six is held.

U2 - 10.1109/SCP.2015.7342077

DO - 10.1109/SCP.2015.7342077

M3 - Conference contribution

SN - 9781467376983

BT - "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference, Saint Petersburg, Russia, 5-9 Oct.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015

Y2 - 5 October 2015 through 9 October 2015

ER -

ID: 3982375