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Asymptotic stability analysis of θ-methods for functional differential equations (1984)

Jackiewicz, Zdzislaw

Springer

Numerische Mathematik 43 (1984), S. 389-396

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ISSN: 0945-3245

Keywords: AMS(MOS): 65L20 ; CR: 5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary Stability analysis of θ-methods for functional differential equations based on the test equation $$\begin{gathered} y'(t) = ay(t - \lambda ) + by(t),t 〉 0 \hfill \\ y(t) = \psi (t),t \in \left[ { - \lambda ,0} \right] \hfill \\ \end{gathered} $$ λ〉0, is presented. It is known thaty(t)→0 ast→∞ if and only if |b|〈−a and we investigate whether this property is inherited by the numerical solution approximatingy.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01390181

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