On stability regions of the modified midpoint method for a linear delay differential equation
نویسندگان
چکیده
*Correspondence: [email protected] Institute of Mathematics, Brno University of Technology, Technická 2, Brno, 616 69, Czech Republic Abstract The paper deals with stability regions of a certain discretization of a linear differential equation with constant delay. The main aim of the paper is to analyze the regions of asymptotic stability of the modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. The relation between asymptotic stability conditions in the discrete case and continuous case is discussed, too.
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