Asymptotic stability of block boundary value methods for delay differential-algebraic equations

Chengjian Zhang and Hao Chen

Mathematics and Computers in Simulation (MATCOM), 2010, vol. 81, issue 1, 100-108

Abstract: Block boundary value methods are applied to solve a class of delay differential-algebraic equations. We focus on the asymptotic stability of the numerical methods for linear delay differential-algebraic equations with multiple delays. It is shown that A-stable block boundary value methods satisfying a restrictive condition can preserve the asymptotic stability of the analytical solution. Numerical experiments further confirm the effectiveness and stability of the methods.

Keywords: Delay differential-algebraic equations; Multiple delays; Asymptotic stability; Block boundary value methods (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2010:i:1:p:100-108

DOI: 10.1016/j.matcom.2010.07.012

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