Title of article
Computing general companion matrices and stability regions of multirate methods
Author/Authors
Gustavo RodrIguez-GOmez، نويسنده , , Pedro GonzAlez-Casanova، نويسنده , , Jorge MartInez-Carballido، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
19
From page
255
To page
273
Abstract
We obtain the necessary and sufficient conditions that guarantee 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 displayed
Keywords
semi-implicit multirate methods , subcycling methods , Absolute stability , simulation , Coupled systems
Journal title
International Journal for Numerical Methods in Engineering
Serial Year
2004
Journal title
International Journal for Numerical Methods in Engineering
Record number
425199
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