Delay-dependent stability of linear multistep methods for DAEs with multiple delays |
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Authors: | " target="_blank">Xiulin Hu Yuhao Cong Guang-Da Hu |
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Institution: | 1.Department of Mathematics,Shanghai University,Shanghai,China;2.Department of Mathematics and Physics,Hefei University,Hefei,China |
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Abstract: | This paper aims to investigate the asymptotic stability of linear multistep (LM) methods for linear differential-algebraic equations (DAEs) with multiple delays. Based on the argument principle, we first establish the delay-dependent stability criteria of analytic solutions; then, we propose some practically checkable conditions for weak delay-dependent stability of numerical solutions derived by implicit LM methods. Lagrange interpolations are used to compute the delayed terms. Several numerical examples are given to illustrate the theoretical results. |
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