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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2011 Number 6, Pages 80–89 (Mi ivm7507)

This article is cited in 1 paper

The global error of one-step solution methods for stiff problems

E. A. Novikovab

a Chair of Software for Discrete Devices and Systems, Siberian Federal University, Krasnoyarsk, Russia
b Department of Computational Mathematics, Institute of Computational Modeling of SB RAS, Krasnoyarsk, Russia

Abstract: We propose a new technique for estimating the global error of one-step solution methods for stiff systems. We adduce results of computations which confirm the reliability and efficiency of the error estimate.

Keywords: stiff problem, numerical method, global error.

UDC: 519.622

Received: 26.12.2009


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:6, 68–75

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© Steklov Math. Inst. of RAS, 2026