1.1 Background Physical structures and processes are modeled by dynamical systems in a
wide range of application areas. In structural analysis, for instance, one is interested in the …

Abstract The Jacobi–Davidson method is a popular technique to compute a few eigenpairs
of large sparse matrices. Its introduction, about a decade ago, was motivated by the fact that …

In many physical situations, a few specific eigenvalues of a large sparse generalized
eigenvalue problem $ Ax=\lambda Bx $ are needed. If exact linear solves with $ A-\sigma B …

We consider the problem of determining an optimal semi‐active damping of vibrating
systems. For this damping optimization we use a minimization criterion based on the …

In the context of large-scale eigenvalue problems, methods of Davidson type such as Jacobi-
Davidson can be competitive with respect to other types of algorithms, especially in some …

The rapid increase in complexity of systems such as electrical circuits and power systems
calls for the development of efficient numerical methods. In many cases, direct application of …

Das Verständnis von geometrischen Strukturen und dynamischen Eigenschaften
molekularer Konformationen ist essentiell für die Vorhersage des Langzeitverhaltens von …

Obtaining solutions to the k-eigenvalue form of the radiation transport equation is an
important topic in the design and analysis of nuclear reactors. Although this has been an …

The real variant of the Jacobi–Davidson QR (RJDQR) method is a novel and efficient
subspace iteration method to find a selected subset eigenvalues of a real unsymmetric …

Spectral Collocation Solutions to Problems on Unbounded Domains Page 1 Spectral
Collocation Solutions to Problems on Unbounded Domains Calin-Ioan Gheorghiu …