SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

Show full list of Contributed Talks Show talk context (CS03)


Numerical stability of Runge-Kutta methods for neutral delay differential-algebraic equations

H. Tian, Q. Yu and J. Kuang

Abstract
This talk is concerned with asymptotic stability of linear neutral delay differential-algebraic equations and Runge-Kutta methods. First, we give a new equivalent sufficient condition for the neutral delay differential-algebraic equations to be delay-independently asymptotically stable. Then we investigate the asymptotic stability of the numerical solutions generated by the Runge-Kutta methods combined with Lagrange interpolation. Some results on the asymptotic stability of Runge-Kutta methods of high order are given. Finally, numerical examples of index-1 and index-2 are conducted to confirm our numerical stability result.

Organized by         Universidad de Valladolid     IMUVA