A new approach to computing the rightmost characteristic roots of linear Delay Differential Equations (DDEs) with multiple discrete and distributed delays is presented. It is based on the discretization of the infinitesimal generator of the solution operators semigroup and it avoids the use of the characteristic equation. The approximated roots are obtained by a large sparse standard eigenvalue problem.
Computing the characteristic roots for delay differential equations
BREDA, Dimitri;VERMIGLIO, Rossana
2004-01-01
Abstract
A new approach to computing the rightmost characteristic roots of linear Delay Differential Equations (DDEs) with multiple discrete and distributed delays is presented. It is based on the discretization of the infinitesimal generator of the solution operators semigroup and it avoids the use of the characteristic equation. The approximated roots are obtained by a large sparse standard eigenvalue problem.File in questo prodotto:
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