Efficient small-signal circuit analysis and sensitivity computations with the PVL algorithm
ICCAD '94 Proceedings of the 1994 IEEE/ACM international conference on Computer-aided design
Efficient steady-state analysis based on matrix-free Krylov-subspace methods
DAC '95 Proceedings of the 32nd annual ACM/IEEE Design Automation Conference
Stable and efficient reduction of substrate model networks using congruence transforms
ICCAD '95 Proceedings of the 1995 IEEE/ACM international conference on Computer-aided design
Reduced-order modeling of large passive linear circuits by means of the SYPVL algorithm
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
Proceedings of the 1996 IEEE/ACM international conference on Computer-aided design
PRIMA: passive reduced-order interconnect macromodeling algorithm
ICCAD '97 Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design
Reduced-order modelling of linear time-varying systems
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Phase noise in oscillators: DAEs and colored noise sources
Proceedings of the 1998 IEEE/ACM international conference on Computer-aided design
Proceedings of the 36th annual ACM/IEEE Design Automation Conference
Projection frameworks for model reduction of weakly nonlinear systems
Proceedings of the 37th Annual Design Automation Conference
Efficient model reduction of interconnect via approximate system gramians
ICCAD '99 Proceedings of the 1999 IEEE/ACM international conference on Computer-aided design
Guaranteed passive balancing transformations for model order reduction
Proceedings of the 39th annual Design Automation Conference
Remembrance of circuits past: macromodeling by data mining in large analog design spaces
Proceedings of the 39th annual Design Automation Conference
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
Asymptotic Waveform Evaluation and Moment Matching for Interconnect Analysis
Numerical Recipes in Pascal: The Art of Scientific Computing
Numerical Recipes in Pascal: The Art of Scientific Computing
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques
Computing phase noise eigenfunctions directly from steady-state Jacobian matrices
Proceedings of the 2000 IEEE/ACM international conference on Computer-aided design
Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design
A behavioral simulation tool for continuous-time ΔΣ modulators
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
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
Proceedings of the conference on Design, automation and test in Europe
Proceedings of the conference on Design, automation and test in Europe
Analysis of performance and convergence issues for circuit simulation
Analysis of performance and convergence issues for circuit simulation
Numerical Methods
Efficient DDD-based term generation algorithm for analog circuit behavioral modeling
ASP-DAC '03 Proceedings of the 2003 Asia and South Pacific Design Automation Conference
Proceedings of the 2005 Asia and South Pacific Design Automation Conference
PRIMA: passive reduced-order interconnect macromodeling algorithm
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
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Modeling nonlinear dynamics in analog circuits via root localization
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Behavioral modeling of (coupled) harmonic oscillators
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Small-Signal Analysis of Oscillators Using Generalized Multitime Partial Differential Equations
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
Proceedings of the 48th Design Automation Conference
ModSpec: an open, flexible specification framework for multi-domain device modelling
Proceedings of the International Conference on Computer-Aided Design
Proceedings of the 49th Annual Design Automation Conference
Analysis and design of sub-harmonically injection locked oscillators
DATE '12 Proceedings of the Conference on Design, Automation and Test in Europe
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Numerical simulation and modelling are witnessing a resurgence. Designing systems with integrated wireless components, mixed-signal blocks and nanoscale, multi-GHz "digital" circuits is requiring extensive low-level modelling and simulation. Analysis and design in non-electronic domains, notably in systems biology, are also relying increasingly on numerical computation. Sections 2–8 of this Monograph provide an introduction to the fundamentals of numerical simulation, and to the basics of modelling electronic circuits and biochemical reactions. The focus is on a minimal set of concepts that will enable the reader to further explore the field independently. Differential–algebraic equation models of electronic circuits and biochemical reactions, together with basic numerical techniques — quiescent, transient and linear frequency domain analyses, as well as sensitivity and noise analyses — for solving these differential equations are developed. Downloadable MATLAB implementations are provided. The last two chapters provide an introduction to computational methods for nonlinear periodic steady states and multi-time partial differential equation (PDE) formulations, followed by an overview of model order reduction (MOR) and, at the end, a glimpse of some applications of oscillator MOR — in circuits (PLLs), biochemical reaction–diffusion systems and nanoelectronics.