Flexure hinges hold several advantages over classical rotation joints, including no friction
losses, no need for lubrication, no hysteresis, compactness, capacity to be utilized in small …

The development of micro-and nano-mechanical systems (MEMS and NEMS) foreshadows
momentous changes not only in the technological world, but in virtually every aspect of …

Dynamical systems are at the core of computational models for a wide range of complex
phenomena and, as a consequence, the simulation of dynamical systems has become a …

A structure-preserving dimension reduction algorithm for large-scale second-order
dynamical systems is presented. It is a projection method based on a second-order Krylov …

Large scale dynamical systems are a common framework for the modeling and control of
many complex phenomena of scientific interest and industrial value, with examples of …

Society is approaching and advancing nano-and microtechnology from various angles of
science and engineering. The need for further fundamental, applied, and experimental …

A Krylov subspace based projection method is presented for model reduction of large scale
bilinear systems. A reduced bilinear system is constructed in such a way that it matches a …

The second-order Arnoldi (SOAR) procedure is an algorithm for computing an orthonormal
basis of the second-order Krylov subspace. It has found applications in solving quadratic …

Dynamical systems are mathematical models characterized by a set of differential or
difference equations. Model reduction aims to replace the original system with a reduced …

A general framework for structure-preserving model reduction by Krylov subspace projection
methods is developed. It not only matches as many moments as possible but also preserves …