Regularity properties of one-leg methods for delay differential equations (Q5948713)
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scientific article; zbMATH DE number 1671937
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity properties of one-leg methods for delay differential equations |
scientific article; zbMATH DE number 1671937 |
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Regularity properties of one-leg methods for delay differential equations (English)
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12 November 2001
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The purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations and extend the corresponding results of linear multistep methods for ordinary differential equations by \textit{A. R. Humphries} [IMA J. Numer. Anal. 13, No. 2, 263-290 (1993; Zbl 0769.65041)] and \textit{A. Iserles} and \textit{A. M. Stuart} [IMA J. Numer. Anal. 12, No. 4, 487-502 (1992; Zbl 0760.65071)]. Especially, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied. Different concepts of regularity are introduced and conditions guaranteeing regularity are derived.
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one-leg methods
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delay differential equation
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regularity
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spurious solution
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variable timestep
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