Numerical approximation of the characteristic valuesfor a delay di erential
نویسنده
چکیده
We present results on the approximation of the characteristic values of a delay diierential equation through the calculation of characteristic values of a corresponding discrete scheme constructed through the use of a strongly stable linear multistep method. Our tool in the analysis is the boundary locus method and we give a theorem that guarantees that the roots of the characteristic equation of the delay equation are approximated by roots of the characteristic equation of the discrete scheme to the order of the method, as h ! 0.
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