Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645944 | Applied Numerical Mathematics | 2009 | 18 Pages |
Abstract
In this paper, it is proved the stability of rational methods for the time discretization of abstract well-posed second order in time problems where the differential operator generates a cosine function. The particular case of operators associated to a sesquilinear form is studied in detail. These rational methods are suitable for these problems and they can be defined, for example, by using Runge–Kutta–Nyström methods.
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Physical Sciences and Engineering
Mathematics
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