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

Результат исследований: Научные публикации в периодических изданияхстатья

1 цитирование (Scopus)

Выдержка

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.

Язык оригиналаанглийский
Страницы (с-по)853-864
Число страниц12
ЖурналApplied Mathematics and Computation
Том347
DOI
СостояниеОпубликовано - 15 апр 2019

Отпечаток

Ordinary differential equations
Costs
Order Conditions
Error Estimator
Numerical Comparisons
Runge-Kutta
System of Ordinary Differential Equations
Reuse
Fourth Order
Partitioning
Form

Предметные области Scopus

  • Вычислительная математика
  • Прикладная математика

Цитировать

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

В: Applied Mathematics and Computation, Том 347, 15.04.2019, стр. 853-864.

Результат исследований: Научные публикации в периодических изданияхстатья

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

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