Asymptotic stability of block boundary value methods for delay differential-algebraic equations |
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Authors: | Chengjian Zhang |
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Affiliation: | School of Mathematics and Statistics, Huazhong University of Science and Technology, 1037 Luoyu Road, Wuhan 430074, China |
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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. |
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Keywords: | Delay differential-algebraic equations Multiple delays Asymptotic stability Block boundary value methods |
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