We consider the Timoshenko system in a bounded domain (0, L) ⊂ R1. The system has an indefinite damping mechanism, i.e. with a damping function a = a(x) possibly changing sign, present only in the equation for the rotation angle. We shall prove that the system is still exponentially stable under the same conditions as in the positive constant damping case, and provided a = ∫ L 0 a(x) dx > 0 and...

We present an approach to model reduction for linear dynamical systems that is numerically stable, computationally tractable even for very large order systems, produces a sequence of monotone decreasing H2 error norms, and (under modest hypotheses) is globally convergent to a reduced order model that is guaranteed to satisfy first-order optimality conditions with respect to H2 error.

Abstract. In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the numerical stability and convergence of the scheme for three cases that depend on the background flow ũ0, ṽ0, and φ̃0 (subor super-critical flow at each part of the boundary). The three cases that we consid...

The eigenvalues of the matrices that occur in certain finitedimensional interpolation problems are directly related to their well posedness and strongly depend on the distribution of the interpolation knots, that is, on the sampling set. We study this dependency as a function of the sampling set itself and give accurate bounds for the eigenvalues of the interpolation matrices. The bounds can be...

We report the results of a next-to-leading order event generator of purely gluonic jet production. This calculation is the rst step in the construction of a full next-to-leading order calculation of three jet production at hadron colliders. Several jet-algorithms commonly used in experiments are implemented and their numerical stability is investigated.

We develop a new multidimensional finite-volume algorithm for transport equations. This algorithm is both stable and non-dissipative. It is based on a reconstruction of the discrete solution inside each cell at every time step. The proposed reconstruction, which is genuinely multidimensional, allows recovering sharp profiles in both the direction of the transport velocity and the transverse dir...

It is well known that a D-string ending on a D3, D5 or D7 brane is described in terms of a non-commutative fuzzy funnel geometry. In this article, we give a numerical study of the fluctuations about this leading geometry. This allows us to investigate issues related to the stability and moduli space of these solutions. We comment on the comparison to the linearized fluctuations in supergravity.

Two ecient and numerically stable methods for the computation of the largest p Lyapunov characteristic exponents of an n dimensional discrete dynamical systems are presented. The eciencies of the proposed methods are compared with the eciencies of other methods through an operation count, and illustrated with an example. Ó 2000 Elsevier Science Inc. All rights reserved.

Using two classes of test functions introduced recently by the authors, a criterion for conditional stability of the trivial solution of a second-order semi-linear differential equation is established. © 2005 Elsevier Ltd. All rights reserved.

This paper presents an introduction to the existence and stability of stationary fronts in wave equations with finite length spatial inhomogeneities. The main focus will be on wave equations with one or two inhomogeneities. It will be shown that the fronts come in families. The front solutions provide a parameterisation of the length of the inhomogeneities in terms of the local energy of the po...