Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2020

Идентификатор DOI: 10.17516/1997-1397-2020-13-2-242-252

Ключевые слова: stiff problem, explicit methods, stability region, accuracy and stability control

Аннотация: Stability control of Runge-Kutta numerical schemes is studied to increase efficiency of integrating stiff problems. The implementation of the algorithm to determine coefficients of stability polynomials with the use of the GMP library is presented. Shape and size of the stability region of a method can be preassigned using proposed algorithm. Sets of first-order methods with extended stability domains are built. The results of electrical circuits simulation show the increase of the efficiency of the constructed first-order methods in comparison with methods of higher order.

Журнал: JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS

Выпуск журнала: Vol. 13, Is. 2

Номера страниц: 242-252

Место издания: KRASNOYARSK

Издатель: SIBERIAN FEDERAL UNIV

• Rybkov Mikhail (Siberian Fed Univ, Krasnoyarsk, Russia)
• Knaub Lyudmila (Siberian Fed Univ, Krasnoyarsk, Russia)
• Khorov Danil (Siberian Fed Univ, Krasnoyarsk, Russia)

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