PRIMA: passive reduced-order interconnect macromodeling algorithm
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
NORM: compact model order reduction of weakly nonlinear systems
Proceedings of the 40th annual Design Automation Conference
Piecewise polynomial nonlinear model reduction
Proceedings of the 40th annual Design Automation Conference
Poor Man's TBR: A Simple Model Reduction Scheme
Proceedings of the conference on Design, automation and test in Europe - Volume 2
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
Simulation of biochemical networks using COPASI: a complex pathway simulator
Proceedings of the 38th conference on Winter simulation
Faster, parametric trajectory-based macromodels via localized linear reductions
Proceedings of the 2006 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
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Projection-based approaches for model reduction of weakly nonlinear, time-varying systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Efficient linear circuit analysis by Pade approximation via the Lanczos process
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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We present a new manifold construction and parameterization algorithm for model reduction approaches based on projection on manifolds. The new algorithm employs two key ideas: (1) we define an ideal manifold for nonlinear model reduction to be the solution of a set of differential equations with the property that the tangent space at any point on the manifold spans the same subspace as the low-order subspace (e.g., Krylov subspace generated by moment-matching techniques) of the linearized system; (2) we propose the concept of normalized integral curve equations, which are repeatedly solved to identify an almost-ideal manifold. The manifold constructed by our algorithm inherits the important property in [1] that it covers important system responses such as DC and AC responses. It also preserves better local distance metrics on the manifold, thanks to the employment of normalized integral curve equations. To gauge the quality of the resulting manifold, we also derive an error bound of the moments of linearized systems, assuming moment-matching techniques are employed to generate low-order subspaces for linearized systems. The algorithm is also more systematic and generalizable to higher dimensions than the ad hoc procedure in [1]. We illustrate the key ideas through a simple 2-D example. We also combine this new manifold construction and parameterization algorithm with maniMOR [1] to generate reduced models for a quadratic nonlinear system and a CMOS circuit. Simulation results are provided, together with comparisons to full models as well as TPWL reduced models [2].