Asymptotic stability of block boundary value methods for delay differential-algebraic equations
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. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
asymptotic stability block boundary value methods delay differential-algebraic equations multiple delays