Krylov-subspace methods for reduced-order modeling in circuit simulation
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. III: linear algebra
Piecewise polynomial nonlinear model reduction
Proceedings of the 40th annual Design Automation Conference
Proceedings of the 40th annual Design Automation Conference
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
Parameterized model order reduction of nonlinear dynamical systems
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
Projection-based performance modeling for inter/intra-die variations
ICCAD '05 Proceedings of the 2005 IEEE/ACM International conference on Computer-aided design
PRIMA: passive reduced-order interconnect macromodeling algorithm
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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
Challenges in gate level modeling for delay and SI at 65nm and below
Proceedings of the 45th annual Design Automation Conference
Proceedings of the 2008 IEEE/ACM International Conference on Computer-Aided Design
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
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
Efficient analytical macromodeling of large analog circuits by transfer function trajectories
Proceedings of the International Conference on Computer-Aided Design
Generalized nonlinear timing/phase macromodeling: theory, numerical methods and applications
Proceedings of the International Conference on Computer-Aided Design
Advances in variation-aware modeling, verification, and testing of analog ICs
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
A convex macromodeling of dynamic comparator for analog circuit synthesis
Analog Integrated Circuits and Signal Processing
Mathematics and Computers in Simulation
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Trajectory-based methods offer an attractive methodology for automated, on-demand generation of macromodels for custom circuits. These models are generated by sampling the state trajectory of a circuit as it simulates in the time domain, and building macromodels by reducing and interpolating among the linearizations created at a suitably spaced subset of the time points visited during training simulations. However, a weak point in conventional trajectory models is the reliance on a single, global reduction matrix for the state space. We develop a new, faster method that generates and weaves together a larger set of smaller localized linearizations for the trajectory samples. The method not only improves speedups to 30X over SPICE, but as a side benefit also provides a platform for parametric small-signal simulation of circuits with variational device/process parameters, at a speedup of roughly 200X over SPICE.