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Structure-Exploiting Coupled Symbolic-Numerical Model Reduction For Electrical Networks (eBook, PDF)

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In order to avoid immense time and financial effort for the production of deficiently designed prototypes of integrated circuits (ICs), industrial circuit design uses mathematical models and simulations to predict and analyse the physical behavior of analog electronical systems. The thereby generated (partial) differential-algebraic systems of equations are composed of component characteristics and Kirchhoff laws. During the last years, increasing miniaturization and integration density of components on a single chip led to systems containing several millions of equations, which ha...

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