%0 Journal Article %A Bun, Rostislav A. %A Semykina, Anna V. %D 2000 %I Begell House %K numerical methods, stability domain, differential equation, backward differentiation. %N 3 %P 93-97 %R 10.1615/JAutomatInfScien.v32.i3.120 %T Calculating Stability Domains of Numerical Methods for Solving Higher-Order Differential Equations %U https://www.dl.begellhouse.com/journals/2b6239406278e43e,25d460b86e6de837,281933f278c63df5.html %V 32 %X 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. %8 2000-04-01