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Absolute Stability of Semi-Implicit Multirate Linear Multistep Methods

Gustavo Rodríguez Gómez

出版	SSRN, 2018
URL	http://books.google.com.hk/books?id=s67-zgEACAAJ&hl=&source=gbs_api

註釋

We obtain the necessary and sufficient conditions that guaranties the absolute stability of semi-implicit multirate linear discretizations of 2 × 2 differential systems. This result is based on the construction of a general companion matrix that characterizes the class of multirate discretizations built from, linear and zero-order interpolation. These results are numerically verified for particular examples whose stability regions are graphically display.