Standard

Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений. / Olemskoy, I. V.; Kovrizhnykh, N. A.; Firyulina, O. S.

In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, Vol. 15, No. 4, 2019, p. 502-517.

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

Harvard

Olemskoy, IV, Kovrizhnykh, NA & Firyulina, OS 2019, 'Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений', Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, vol. 15, no. 4, pp. 502-517. https://doi.org/10.21638/11702/spbu10.2019.407

APA

Olemskoy, I. V., Kovrizhnykh, N. A., & Firyulina, O. S. (2019). Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya, 15(4), 502-517. https://doi.org/10.21638/11702/spbu10.2019.407

Vancouver

Olemskoy IV, Kovrizhnykh NA, Firyulina OS. Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений. Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2019;15(4):502-517. https://doi.org/10.21638/11702/spbu10.2019.407

Author

Olemskoy, I. V. ; Kovrizhnykh, N. A. ; Firyulina, O. S. / Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений. In: Vestnik Sankt-Peterburgskogo Universiteta, Prikladnaya Matematika, Informatika, Protsessy Upravleniya. 2019 ; Vol. 15, No. 4. pp. 502-517.

BibTeX

@article{3ba7317086a9480eac4e2dd62940771c,
title = "Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений",
abstract = "The paper is devoted to the construction of economical explicit sixth-order numerical method for solving structurally partitioned systems of ordinary differential equations. The general form of the method, which algorithmically uses the properties of the system structure, is presented. Conditions of order six, which the parameters of the method must satisfy, are derived. The simplifying conditions are found, which reduces the large nonlinear system of order conditions to a solvable smaller system. A solution with two free parameters is obtained. Economic explicit sixth-order schemes for systems of ordinary differential equations are presented. Numerical tests to compare to known explicit sixth-order one-step methods are performed.",
keywords = "Order, Simplifying conditions, The order conditions",
author = "Olemskoy, {I. V.} and Kovrizhnykh, {N. A.} and Firyulina, {O. S.}",
note = "Publisher Copyright: {\textcopyright} 2019 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2019",
doi = "10.21638/11702/spbu10.2019.407",
language = "русский",
volume = "15",
pages = "502--517",
journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",
issn = "1811-9905",
publisher = "Издательство Санкт-Петербургского университета",
number = "4",

}

RIS

TY - JOUR

T1 - Двухпараметрическое семейство методов шестого порядка интегрирования систем обыкновенных дифференциальных уравнений

AU - Olemskoy, I. V.

AU - Kovrizhnykh, N. A.

AU - Firyulina, O. S.

N1 - Publisher Copyright: © 2019 Saint Petersburg State University. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2019

Y1 - 2019

N2 - The paper is devoted to the construction of economical explicit sixth-order numerical method for solving structurally partitioned systems of ordinary differential equations. The general form of the method, which algorithmically uses the properties of the system structure, is presented. Conditions of order six, which the parameters of the method must satisfy, are derived. The simplifying conditions are found, which reduces the large nonlinear system of order conditions to a solvable smaller system. A solution with two free parameters is obtained. Economic explicit sixth-order schemes for systems of ordinary differential equations are presented. Numerical tests to compare to known explicit sixth-order one-step methods are performed.

AB - The paper is devoted to the construction of economical explicit sixth-order numerical method for solving structurally partitioned systems of ordinary differential equations. The general form of the method, which algorithmically uses the properties of the system structure, is presented. Conditions of order six, which the parameters of the method must satisfy, are derived. The simplifying conditions are found, which reduces the large nonlinear system of order conditions to a solvable smaller system. A solution with two free parameters is obtained. Economic explicit sixth-order schemes for systems of ordinary differential equations are presented. Numerical tests to compare to known explicit sixth-order one-step methods are performed.

KW - Order

KW - Simplifying conditions

KW - The order conditions

UR - http://www.scopus.com/inward/record.url?scp=85082047069&partnerID=8YFLogxK

U2 - 10.21638/11702/spbu10.2019.407

DO - 10.21638/11702/spbu10.2019.407

M3 - статья

AN - SCOPUS:85082047069

VL - 15

SP - 502

EP - 517

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 4

ER -

ID: 71757725