Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms (Q808193)
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scientific article; zbMATH DE number 4209498
| Language | Label | Description | Also known as |
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| English | Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms |
scientific article; zbMATH DE number 4209498 |
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Numerical stability of the \(\theta\)-methods for systems of differential equations with several delay terms (English)
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1991
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A two-dimensional linear test problem with two different delay terms is considered. First, sufficient conditions for the asymptotic stability are presented. Then the stability properties of the linear \(\theta\)-method are studied with the aid of a general stability theorem [see \textit{M. Z. Liu} and \textit{M. N. Spijker}, IMA J. Numer. Anal. 10, No.1, 31-48 (1990; Zbl 0693.65056)]. Further, the stability of the one-leg \(\theta\)-method is investigated.
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delay differential equations
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GP-stability
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theta method
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asymptotic stability
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