Proceedings of the conference on Design, automation and test in Europe - Volume 1
CAD challenges in BioMEMS design
Proceedings of the 41st annual Design Automation Conference
Floorplanning optimization with trajectory piecewise-linear model for pipelined interconnects
Proceedings of the 41st annual Design Automation Conference
Analog Macromodeling using Kernel Methods
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
3D module placement for congestion and power noise reduction
GLSVLSI '05 Proceedings of the 15th ACM Great Lakes symposium on VLSI
Automated nonlinear Macromodelling of output buffers for high-speed digital applications
Proceedings of the 42nd annual Design Automation Conference
Scalable trajectory methods for on-demand analog macromodel extraction
Proceedings of the 42nd annual Design Automation Conference
Developing design tools for biological and biomedical applications of micro- and nano-technology
CODES+ISSS '05 Proceedings of the 3rd IEEE/ACM/IFIP international conference on Hardware/software codesign and system synthesis
Microarchitecture evaluation with floorplanning and interconnect pipelining
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
Design automation issues for biofluidic microchips
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Parameterized model order reduction of nonlinear dynamical systems
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
A more reliable reduction algorithm for behavioral model extraction
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Design and verification of high-speed VLSI physical design
Journal of Computer Science and Technology
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
Faster, parametric trajectory-based macromodels via localized linear reductions
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
Parameterized macromodeling for analog system-level design exploration
Proceedings of the 44th annual Design Automation Conference
Microarchitecture configurations and floorplanning co-optimization
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
A nonlinear cell macromodel for digital applications
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Stabilizing schemes for piecewise-linear reduced order models via projection and weighting functions
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Efficient VCO phase macromodel generation considering statistical parametric variations
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Bounding L2 gain system error generated by approximations of the nonlinear vector field
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
Variable domain transformation for linear PAC analysis of mixed-signal systems
Proceedings of the 2007 IEEE/ACM international conference on Computer-aided design
A general framework for automated physics-based reduced-order modeling of electromechanical systems
Proceedings of the 2007 Summer Computer Simulation Conference
A "true" electrical cell model for timing, noise, and power grid verification
Proceedings of the 45th annual Design Automation Conference
AIC'08 Proceedings of the 8th conference on Applied informatics and communications
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
ARMS - automatic residue-minimization based sampling for multi-point modeling techniques
Proceedings of the 46th Annual Design Automation Conference
Algorithms for automatic model topology formulation
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Linearized reduced-order models for subsurface flow simulation
Journal of Computational Physics
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
Automated compact dynamical modeling: an enabling tool for analog designers
Proceedings of the 47th Design Automation Conference
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Proceedings of the Conference on Design, Automation and Test in Europe
Manifold construction and parameterization for nonlinear manifold-based model reduction
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
Proceedings of the 2010 Asia and South Pacific Design Automation Conference
IEEE Transactions on Circuits and Systems Part I: Regular Papers
FSM model abstraction for analog/mixed-signal circuits by learning from I/O trajectories
Proceedings of the 16th Asia and South Pacific Design Automation Conference
Nonlinear Model Reduction via Discrete Empirical Interpolation
SIAM Journal on Scientific Computing
Proceedings of the 48th Design Automation Conference
Enhanced linearized reduced-order models for subsurface flow simulation
Journal of Computational Physics
Generalized nonlinear timing/phase macromodeling: theory, numerical methods and applications
Proceedings of the International Conference on Computer-Aided Design
Proceedings of the 49th Annual Design Automation Conference
A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
SIAM Journal on Numerical Analysis
Journal of Computational Physics
Model reduction for nonlinear systems with incremental gain or passivity properties
Automatica (Journal of IFAC)
Reduced-order flow modeling and geological parameterization for ensemble-based data assimilation
Computers & Geosciences
Towards improving simulation of analog circuits using model order reduction
DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
Model order reduction for dynamic simulation of beams with forcing and geometric nonlinearities
Finite Elements in Analysis and Design
Journal of Electronic Testing: Theory and Applications
Mathematics and Computers in Simulation
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In this paper, we present an approach to nonlinear model reduction based on representing a nonlinear system with a piecewise-linear system and then reducing each of the pieces with a Krylov projection. However, rather than approximating the individual components as piecewise linear and then composing hundreds of components to make a system with exponentially many different linear regions, we instead generate a small set of linearizations about the state trajectory which is the response to a "training input." Computational results and performance data are presented for an example of a micromachined switch and selected nonlinear circuits. These examples demonstrate that the macromodels obtained with the proposed reduction algorithm are significantly more accurate than models obtained with linear or recently developed quadratic reduction techniques. Also, we propose a procedure for a posteriori estimation of the simulation error, which may be used to determine the accuracy of the extracted trajectory piecewise-linear reduced-order models. Finally, it is shown that the proposed model order reduction technique is computationally inexpensive, and that the models can be constructed "on the fly," to accelerate simulation of the system response.