Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations. / Olemskoy, Igor V.; Eremin, Alexey S.
в: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Том 17, № 4, 2021, стр. 353-369.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Algorithm of construction of effective explicit methods for structurally partitioned systems of ordinary differential equations
AU - Olemskoy, Igor V.
AU - Eremin, Alexey S.
N1 - Publisher Copyright: © 2021 Saint Petersburg State University. All rights reserved.
PY - 2021
Y1 - 2021
N2 - Systems of ordinary differential equations partitioned on base of their right-hand side dependencies on the unknown functions are considered. Explicit multischeme 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. This system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of computing the order conditions system solution 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 multischeme 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. This system is reduced to several independent linear systems with help of the simplifying relations. The algorithm of computing the order conditions system solution 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.
KW - Explicit Runge-Kutta
KW - Multischeme methods
KW - Order conditions
KW - Partitioned methods
KW - Sixth order method
KW - Structural partitioning
UR - http://www.scopus.com/inward/record.url?scp=85125318918&partnerID=8YFLogxK
U2 - 10.21638/11701/SPBU10.2021.404
DO - 10.21638/11701/SPBU10.2021.404
M3 - Article
AN - SCOPUS:85125318918
VL - 17
SP - 353
EP - 369
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: 92067556