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HRABALOVÁ, J. TOMÁŠEK, P.
Original Title
On stability regions of the modified midpoint method for a linear delay differential equation
Type
journal article in Web of Science
Language
English
Original Abstract
The paper deals with stability regions of certain discretization of linear differential equation with constant delay. The main aim of the paper is to analyze regions of asymptotic stability of modified midpoint method applied to a linear differential equation with constant delay. Obtained results are compared with other known results, particularly for Euler discretization. There is discussed a relation between asymptotic stability conditions in the discrete case and continuous case, too.
Keywords
Difference equation, asymptotic stability, stability region, delay differential equation
Authors
HRABALOVÁ, J.; TOMÁŠEK, P.
RIV year
2013
Released
18. 6. 2013
Publisher
Springer
Location
Spolková republika Německo
ISBN
1687-1847
Periodical
Advances in Difference Equations
Year of study
Number
177
State
United States of America
Pages from
1
Pages to
10
Pages count
BibTex
@article{BUT99898, author="Jana {Dražková} and Petr {Tomášek}", title="On stability regions of the modified midpoint method for a linear delay differential equation", journal="Advances in Difference Equations", year="2013", volume="2013", number="177", pages="1--10", doi="10.1186/1687-1847-2013-177", issn="1687-1847" }