Wednesday, July 16

10:30 AM-12:30 PM
Law School, Room 190

Reduced-Order Modeling and Applications in Circuit Simulation (Part I of II)

Many applications require the numerical simulation of large time-invariant linear dynamical systems. One such application is the simulation of electronic circuits. For today's circuits with millions of electronic devices, the dynamical systems are so large that time-domain differential equation integration would be inefficient or even prohibitive. A much more efficient approach is to generate reduced-order models, based on approximations to the frequency-domain transfer function of the dynamical system. In circuit simulation, reduced-order models based on Pade approximants have proven to be especially efficient. The speakers in this minisymposium will survey some of the recent advances in the area of Pade-type reduced-order modeling techniques and their use in circuit simulation. Special emphasis will be on methods based on Lanczos- and Arnold-type algorithms.

The problem of reduced-order modeling of large dynamical system arises in a number of different areas, such as control theory and circuit simulation. In particular, in circuit simulation, the efficient numerical simulation of the underlying dynamical system is of paramount importance, and the development of reduced-order modeling techniques for this purpose is currently a "hot" research area. In addition to on-going research activities in academic research environments, there is also a lot of interest from the computer and CAD companies. In view of the vicinity of Stanford to Silicon Valley, the minisymposium should also attract folks from the computer and CAD companies there.

Organizer: Roland W. Freund
Bell Laboratories, Lucent Technologies

10:30 Reduced-Order Modeling Via Lanczos-Type Algorithms
Roland W. Freund, Organizer; and Peter Feldmann, Bell Laboratories, Lucent Technologies
11:00 A Projection Formulation for Rational Interpolation
Eric Grimme and Kyle Gallivan, University of Illinois, Urbana-Champaign
11:30 Application of Rational Krylov Subspace Methods in Model Reduction for Circuit Simulation
Tuyen V. Nguyen and Eli Chiprout, IBM Austin Research Laboratory

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MMD, 3/31/97 5/29/97