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Showing 1 to 2 of 2 for “"Structure-preserving algorithms"”.

  1. Structure-preserving Numerical Methods for Engineering Applications

    This dissertation develops a variety of structure-preserving algorithms for mechanical systems with external forcing and also extends those methods to systems that evolve on non-Euclidean manifolds. The dissertation is focused on numerical schemes derived from variational principles – schemes that …

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  2. Iterative Rational Krylov Algorithm for Unstable Dynamical Systems and Genaralized Coprime Factorizations

    … the only concern. We also need to consider the structure of the reduced order model. Often, it is important that the number of unstable poles in the reduced system is the same as the number of unstable poles in the original system. The Iterative Rational Krylov Algorithm (IRKA) is a robust model …

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