With the rapid developments in very large-scale integration (VLSI) technology, design and
computer-aided design (CAD) techniques, at both the chip and package level, the operating …

State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

In today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …

In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …

This paper describes PRIMA, an algorithm for generating provably passive reduced order N-
port models for RCL interconnect circuits. It is demonstrated that, in addition to requiring …

In recent years, a great deal of attention has been devoted to Krylov subspace techniques
for reduced-order modeling of large-scale dynamical systems. The surge of interest was …

An overview of model reduction methods and a comparison of the resulting algorithms is
presented. These approaches are divided into two broad categories, namely SVD based …

This paper proposes a supervised machine learning framework for the non-intrusive model
order reduction of unsteady fluid flows to provide accurate predictions of non-stationary state …

The simulation of electronic circuits involves the numerical solution of very large-scale,
sparse, in general nonlinear, systems of differential-algebraic equations. Often, the size of …

In recent years, reduced-order modelling techniques based on Krylov-subspace iterations,
especially the Lanczos algorithm and the Arnoldi process, have become popular tools for …