Issues 1-2

Date of Online Publication: 14/04/2007 Keywords: Computer-aided control system design, linear matrix equations, numerical algorithms, numerical linear algebra, Lyapunov equations, Sylvester equations Authors: Peter Benner, Vasile Sima, Martin Slowik Pages: 11-34 We discuss solvers for Sylvester, Lyapunov, and Stein equations that are available in the SLICOT Library (Subroutine Library In COntrol Theory). These solvers offer […]

Date of Online Publication: 14/04/2007 Keywords: interior penalty methods, weakly over-penalized, preconditioner, quasi-optimal error estimates Authors: Susanne C. Brenner, Luke Owens Pages: 35-48 A weakly over-penalized nonsymmetric interior penalty method for second order elliptic boundary value problems is considered in this paper. This method is consistent, stable for any choice of the penalty parameter and

Date of Online Publication: 14/04/2007 Keywords: Linear multistep methods, Stability of numerical methods, polynomial type Authors: L. Aceto, R. Pandolfi, D. Trigiante Pages: 1-9 The linear stability analysis for linear multistep methods leads to study the location of the roots of the associated characteristic polynomial with respect to the unit circle in the complex plane.

Date of Online Publication: 14/04/2007 Keywords: heat equation, inverse problem, Newton’s law of cooling, heat transfer coefficient quenching Authors: Sasa Singer Pages: 103-114 Modern technology of heat treatment uses high pressure gas-quenching in different types of furnaces to obtain required properties of treated materials. The flow of thermal energy between the surface of the material

Date of Online Publication: 14/04/2007 Keywords: Data assimilation. Kalman filtering. Low-rank Kalman filtering. Monte-Carlo methods Authors: I. Hoteit, G. Triantafyllou and G. Korres Pages: 67-78 Low-rank square-root Kalman filters were developed for the efficient estimation of the state of high dimensional dynamical systems. These filters avoid the huge computational burden of the Kalman filter by

Date of Online Publication: 14/04/2007 Keywords: singular value decomposition, Kogbetliantz method, parallel algorithm, block algorithm Authors: Vjeran Hari, Vida Zadelj-Martic Pages: 49-66 The paper investigates a way how can the two-sided Jacobi-type method for computing the singular value decomposition of triangular matrices, known as Kogbetliantz method, be adapted for use with parallel computers with shared

Date of Online Publication: 14/04/2007 Keywords: Cell nuclei, Computational stochastic methods, Gibbs point processes, Lattice processes, Dislocations of crystals, Pseudolikelihood, Spatial arrangement, Strauss process Authors: J. Mateu Pages: 79-102 Data showing spatial structure often arise in many applied scientific fields in form of points spatially distributed within a planar region. The basic methodology for analyzing