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TOMÁŠEK, P.
Original Title
Visualization and analysis of stability regions of certain discretization of differential equation with constant delay
Type
journal article in Web of Science
Language
English
Original Abstract
The paper discusses the asymptotic stability regions of multistep disretization of linear delay differential equation with a constant delay. Different location of delay dependent parts of stability regions with respect to parity of number of steps clarifies unexpected changes in numerical solution's behaviour under various settings of the equation's parameters and stepsize.
Keywords
Delay differential equation; constant delay; difference equation; numerical solution; necessary and sufficient conditions for asymptotic stability
Authors
Released
8. 12. 2017
ISBN
1512-0015
Periodical
Memoirs Diff. Equat. Math. Phys
Year of study
2017
Number
72
State
Georgia
Pages from
131
Pages to
139
Pages count
9
BibTex
@article{BUT140059, author="Petr {Tomášek}", title="Visualization and analysis of stability regions of certain discretization of differential equation with constant delay", journal="Memoirs Diff. Equat. Math. Phys", year="2017", volume="2017", number="72", pages="131--139", issn="1512-0015" }