Constructing of linearly implicit schemes which are LN-equivalent to implicit Runge-Kutta methods

Constructing of linearly implicit schemes which are LN-equivalent to implicit Runge-Kutta methods

New family of linearly implicit schemes are presented. This family allows to obtain methods which are equivalent to stiffly accurate implicit Runge-Kutta schemes (such as RadauIIA and LobattoIIIC) on nonautonomous linear problems. Notion of LN-equivalence of schemes is introduced. Order conditions a...

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Bibliographic Details
Main Authors: Aleksei Mikhailovich Zubanov, Nikolay N. Kutruhin, Petr Dmitrievich Shirkov
Format: Article
Language:Russian
Published: Institute of Computer Science 2012-09-01
Series:Компьютерные исследования и моделирование
Subjects:
stiff systems of ordinary differential equations
stiffly accurate Runge–Kutta methods and Rosenbrock schemes
stability and L-equivalence
Online Access:http://crm.ics.org.ru/uploads/crmissues/crm_2012_3/483-496.pdf

Internet

http://crm.ics.org.ru/uploads/crmissues/crm_2012_3/483-496.pdf

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