Projection frameworks for model reduction of weakly nonlinear systems
Proceedings of the 37th Annual Design Automation Conference
Piecewise polynomial nonlinear model reduction
Proceedings of the 40th annual Design Automation Conference
Proceedings of the 40th annual Design Automation Conference
Guaranteed stable projection-based model reduction for indefinite and unstable linear systems
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
QLMOR: a new projection-based approach for nonlinear model order reduction
Proceedings of the 2009 International Conference on Computer-Aided Design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Nonlinear Model Reduction via Discrete Empirical Interpolation
SIAM Journal on Scientific Computing
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model
Journal of Computational Physics
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We present a few modifications that stabilize nonlinear reduced order models generated by discrete empirical interpolation methods. We combine a different approach to linearization with a multipoint stabilization technique. The examples used to demonstrate our method's effectiveness are a nonlinear transmission line, a micromachined switch, and a nonlinear thermal model for an RF amplifier.