Standard

An explicit one-step multischeme sixth order method for systems of special structure. / Eremin, Alexey S.; Kovrizhnykh, Nikolai A.; Olemskoy, Igor V.

In: Applied Mathematics and Computation, Vol. 347, 15.04.2019, p. 853-864.

Research output: Contribution to journal › Article › peer-review

Harvard

Eremin, AS, Kovrizhnykh, NA & Olemskoy, IV 2019, 'An explicit one-step multischeme sixth order method for systems of special structure', Applied Mathematics and Computation, vol. 347, pp. 853-864. https://doi.org/10.1016/j.amc.2018.11.053

APA

Eremin, A. S., Kovrizhnykh, N. A., & Olemskoy, I. V. (2019). An explicit one-step multischeme sixth order method for systems of special structure. Applied Mathematics and Computation, 347, 853-864. https://doi.org/10.1016/j.amc.2018.11.053

Vancouver

Eremin AS, Kovrizhnykh NA, Olemskoy IV. An explicit one-step multischeme sixth order method for systems of special structure. Applied Mathematics and Computation. 2019 Apr 15;347:853-864. https://doi.org/10.1016/j.amc.2018.11.053

Author

Eremin, Alexey S. ; Kovrizhnykh, Nikolai A. ; Olemskoy, Igor V. / An explicit one-step multischeme sixth order method for systems of special structure. In: Applied Mathematics and Computation. 2019 ; Vol. 347. pp. 853-864.

BibTeX

@article{1242f2f175cd4cd89286f912367c7b97,
title = "An explicit one-step multischeme sixth order method for systems of special structure",
abstract = "Structure based partitioning of a system of ordinary differential equations is considered. A general form of the explicit multischeme Runge–Kutta type method for such systems is presented. Order conditions and simplifying conditions are written down. An algorithm of derivation of the sixth order method with seven stages and reuse with two free parameters is given. It embeds a fourth order error estimator. Numerical comparison to the Dormand–Prince method with the same computation cost but of lower order is performed.",
keywords = "Explicit Runge–Kutta, Multischeme methods, Order conditions, Partitioned methods, Structural partitioning, Explicit Runge-Kutta",
author = "Eremin, {Alexey S.} and Kovrizhnykh, {Nikolai A.} and Olemskoy, {Igor V.}",
year = "2019",
month = apr,
day = "15",
doi = "10.1016/j.amc.2018.11.053",
language = "English",
volume = "347",
pages = "853--864",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - An explicit one-step multischeme sixth order method for systems of special structure

AU - Eremin, Alexey S.

AU - Kovrizhnykh, Nikolai A.

AU - Olemskoy, Igor V.

PY - 2019/4/15

Y1 - 2019/4/15

N2 - Structure based partitioning of a system of ordinary differential equations is considered. A general form of the explicit multischeme Runge–Kutta type method for such systems is presented. Order conditions and simplifying conditions are written down. An algorithm of derivation of the sixth order method with seven stages and reuse with two free parameters is given. It embeds a fourth order error estimator. Numerical comparison to the Dormand–Prince method with the same computation cost but of lower order is performed.

AB - Structure based partitioning of a system of ordinary differential equations is considered. A general form of the explicit multischeme Runge–Kutta type method for such systems is presented. Order conditions and simplifying conditions are written down. An algorithm of derivation of the sixth order method with seven stages and reuse with two free parameters is given. It embeds a fourth order error estimator. Numerical comparison to the Dormand–Prince method with the same computation cost but of lower order is performed.

KW - Explicit Runge–Kutta

KW - Multischeme methods

KW - Order conditions

KW - Partitioned methods

KW - Structural partitioning

KW - Explicit Runge-Kutta

UR - http://www.scopus.com/inward/record.url?scp=85057879250&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2018.11.053

DO - 10.1016/j.amc.2018.11.053

M3 - Article

AN - SCOPUS:85057879250

VL - 347

SP - 853

EP - 864

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

ER -

ID: 37270832