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 | Abstract: In the past decades  Model Order Reduction (MOR) has demonstrated its robustness and wide applicability for simulating large-scale mathematical models in engineering and the sciences. Recently  MOR has been intensively further developed for increasingly complex dynamical systems. Wide applications of MOR have been found not only in simulation  but also in optimization and control. In this survey paper  we review some popular MOR methods for linear and nonlinear large-scale dynamical systems  mainly used in electrical and control engineering  in computational electromagnetics  as well as in micro- and nano-electro-mechanical systems (NEMS/MEMS) design. Besides reviewing existing methods and the computational techniques needed to implement them  open issues are discussed  and some new results are proposed. | 
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