Кл.слова (ненормированные):
(m,k)-method -- DAE -- freezing the Jacobian matrix -- Electronics industry -- Freezing -- Ordinary differential equations -- (m,k)-method -- Cauchy problems -- Index systems -- L-stable -- Numerical results -- Step size -- Stiff systems -- Third order -- Jacobian matrices
Аннотация: The Cauchy problem for stiff systems of ODEs unresolved with respect to derivative arises in electrical engineering, chemical kinetics and other important areas. Authors derived an L-stable (5, 3)-method for solving the first index systems of DAEs. An algorithm of the alternating integration stepsize based on this method is formulated. The algorithm allows freezing the Jacobian matrix of the system to be solved. Numerical results confirming the efficiency of the new algorithm are given. © 2018 IEEE.
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Держатели документа:
Institute of Computational Mathematics and Mathematical Geophysics, SB, RAS, Novosibirsk, Russian Federation
Siberian Federal University, Institute of Mathematics and Fundamental Informatics, Krasnoyarsk, Russian Federation
Institute of Computational Modelling, FRC KSC, SB, RAS, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Levykin, A. I.; Novikov, A. E.; Novikov, E. A.