Proceedings of the RHSAS

PROCEEDINGS OF THE RUSSIAN HIGHER SCHOOL
ACADEMY OF SCIENCES

Print ISSN: 1727-2769    Online ISSN: 2658-3747
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№2(67) April - June 2025

Approximation Of Jacobi Matrix In (2,2)-Method For Solving Stiff Systems

Issue No 1 (10) January-June 2008
Authors:

Novikov A.E.,
Novikov E.A.,
Shornikov Yu.V.
Abstract
In basis of  L-stabile (2,2)-method with second order of accuracy constructed algorithm for numerical solving Cauchy problem for stiff systems of ordinary differential equations. Intermediate computations realized by L-stable numerical formula. In this algorithm used freezing of Jacobi matrix . Produced results of numerical comparison of constructed algorithm with known methods.
Keywords: устойчивые методы, задача Коши

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