A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations

Standard

A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations. / Olemskoy, I. V.; Kovrizhnykh, N. A.; Eremin, A. S.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020. ed. / T.E. Simos; T.E. Simos; T.E. Simos; T.E. Simos; Ch. Tsitouras. American Institute of Physics, 2022. 160008 (AIP Conference Proceedings; Vol. 2425).

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

Harvard

Olemskoy, IV , Kovrizhnykh, NA & Eremin, AS 2022, A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations. in TE Simos, TE Simos, TE Simos, TE Simos & C Tsitouras (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020., 160008, AIP Conference Proceedings, vol. 2425, American Institute of Physics, International Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020, Rhodes, Greece, 17/09/20. https://doi.org/10.1063/5.0081532

APA

Olemskoy, I. V., Kovrizhnykh, N. A., & Eremin, A. S. (2022). A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations. In T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020 [160008] (AIP Conference Proceedings; Vol. 2425). American Institute of Physics. https://doi.org/10.1063/5.0081532

Vancouver

Olemskoy IV , Kovrizhnykh NA , Eremin AS. A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations. In Simos TE, Simos TE, Simos TE, Simos TE, Tsitouras C, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020. American Institute of Physics. 2022. 160008. (AIP Conference Proceedings). https://doi.org/10.1063/5.0081532

Author

Olemskoy, I. V. ; Kovrizhnykh, N. A. ; Eremin, A. S. / A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020. editor / T.E. Simos ; T.E. Simos ; T.E. Simos ; T.E. Simos ; Ch. Tsitouras. American Institute of Physics, 2022. (AIP Conference Proceedings).

BibTeX

@inproceedings{c3fb24804dbc4af9b04b408c2b0c0379,

title = "A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations",

abstract = "Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit Runge–Kutta methods for such systems are presented. These methods require fewer right-hand side computations (stages) than classic single-scheme Runge–Kutta methods to provide the same order of convergence. The full system of order conditions is presented. The system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of finding the solution of the order conditions system with six free parameters is given. A particular choice of free parameters and the corresponding computational scheme are presented. The advantage of the presented methods is shown by the numerical comparison to the known classic six order method by J. C. Butcher.",

author = "Olemskoy, {I. V.} and Kovrizhnykh, {N. A.} and Eremin, {A. S.}",

note = "Publisher Copyright: {\textcopyright} 2022 American Institute of Physics Inc.. All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020 ; Conference date: 17-09-2020 Through 23-09-2020",

year = "2022",

month = apr,

day = "6",

doi = "10.1063/5.0081532",

language = "English",

isbn = "9780735441828",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

editor = "T.E. Simos and T.E. Simos and T.E. Simos and T.E. Simos and Ch. Tsitouras",

booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020",

address = "United States",

}

RIS

TY - GEN

T1 - A Sixth Order Explicit Method for Structurally Partitioned Systems of Ordinary Differential Equations

AU - Olemskoy, I. V.

AU - Kovrizhnykh, N. A.

AU - Eremin, A. S.

PY - 2022/4/6

Y1 - 2022/4/6

N2 - Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit Runge–Kutta methods for such systems are presented. These methods require fewer right-hand side computations (stages) than classic single-scheme Runge–Kutta methods to provide the same order of convergence. The full system of order conditions is presented. The system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of finding the solution of the order conditions system with six free parameters is given. A particular choice of free parameters and the corresponding computational scheme are presented. The advantage of the presented methods is shown by the numerical comparison to the known classic six order method by J. C. Butcher.

AB - Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit Runge–Kutta methods for such systems are presented. These methods require fewer right-hand side computations (stages) than classic single-scheme Runge–Kutta methods to provide the same order of convergence. The full system of order conditions is presented. The system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of finding the solution of the order conditions system with six free parameters is given. A particular choice of free parameters and the corresponding computational scheme are presented. The advantage of the presented methods is shown by the numerical comparison to the known classic six order method by J. C. Butcher.

UR - http://www.scopus.com/inward/record.url?scp=85128507000&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/dad4e72a-1127-3fea-b449-f62e16c38140/

U2 - 10.1063/5.0081532

DO - 10.1063/5.0081532

M3 - Conference contribution

AN - SCOPUS:85128507000

SN - 9780735441828

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020

A2 - Simos, T.E.

A2 - Tsitouras, Ch.

PB - American Institute of Physics

T2 - International Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020

Y2 - 17 September 2020 through 23 September 2020

ER -

ID: 95014073