An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations

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An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations. / Olemskoy, I. V.; Eremin, A. S.

International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. Vol. 1738 American Institute of Physics, 2016. 160010.

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

Harvard

Olemskoy, IV & Eremin, AS 2016, An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations. in International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016. vol. 1738, 160010, American Institute of Physics, International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016, Rhodes, Greece, 19/09/16. https://doi.org/10.1063/1.4951943

BibTeX

@inproceedings{e0085ff3b877461893d4e8933d7d09df,

title = "An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations",

abstract = "We construct here an embedded Dormand–Prince pair of explicit methods of orders 6 and 4 for systems of ordinary differential equations with special structure, namely with two parts, in which the right-hand sides are dependent only on the unknown functions from the other group. The number of stages is six, which is fewer than for general explicit Runge–Kutta methods. The comparison to Dormand–Prince method of the same computation cost is made showing the higher accuracy of the suggested method.",

keywords = "ordinary differential equations, Runge–Kutta methods, Dormand–Prince methods embedded pair, structural methods",

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

year = "2016",

doi = "10.1063/1.4951943",

language = "English",

isbn = "978-0-7354-1392-4",

volume = "1738",

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 - An embedded pair of method of orders 6(4) with 6 stages for special systems of ordinary differential equations

AU - Olemskoy, I. V.

AU - Eremin, A. S.

PY - 2016

Y1 - 2016

N2 - We construct here an embedded Dormand–Prince pair of explicit methods of orders 6 and 4 for systems of ordinary differential equations with special structure, namely with two parts, in which the right-hand sides are dependent only on the unknown functions from the other group. The number of stages is six, which is fewer than for general explicit Runge–Kutta methods. The comparison to Dormand–Prince method of the same computation cost is made showing the higher accuracy of the suggested method.

AB - We construct here an embedded Dormand–Prince pair of explicit methods of orders 6 and 4 for systems of ordinary differential equations with special structure, namely with two parts, in which the right-hand sides are dependent only on the unknown functions from the other group. The number of stages is six, which is fewer than for general explicit Runge–Kutta methods. The comparison to Dormand–Prince method of the same computation cost is made showing the higher accuracy of the suggested method.

KW - ordinary differential equations

KW - Runge–Kutta methods

KW - Dormand–Prince methods embedded pair

KW - structural methods

U2 - 10.1063/1.4951943

DO - 10.1063/1.4951943

M3 - Conference contribution

SN - 978-0-7354-1392-4

VL - 1738

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: 7575542