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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v32.i3.120
pages 93-97

Calculating Stability Domains of Numerical Methods for Solving Higher-Order Differential Equations

Rostislav A. Bun
Scientific and Research Institute of Information Infrastructure of National Academy of Sciences of Ukraine, Lvov, Ukraine
Anna V. Semykina
Scientific and Research Institute of Information Infrastructure of National Academy of Sciences of Ukraine, Lvov, Ukraine

ABSTRACT

The paper concerns the method of calculating the stability domains of numerical algorithms for solving higher-order differential equations. The analyzed methods make use of generalized backward differentiation formulae and do not require reduction of the initial equations to a set of first-order equations.


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