Volume 02

Biorthogonal Polynomials and Numerical Integration Formulas for In nite Intervals

Issues 3-4 Volume 02

Date of Online Publication: 27/10/2007 Keywords: Biorthogonal polynomials; Orthogonal polynomials; Convergence acceleration; Numerical integration; Rational approximation Authors: Avram Sidi, Doron S. Lubinsky Pages: 209-226 In this work, we consider a class of numerical quadrature formulas for the infiniterange integrals where being the Exponential Integral. These formulas are obtained by applying the Levin L and Sidi […]

Evaluation of the Linear Matrix Equation Solvers in SLICOT

Issues 1-2 Volume 02

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

Parallel Evolutionary Algorithm for the Traveling Salesman Problem

Issues 3-4 Volume 02

Date of Online Publication: 27/10/2007 Keywords: Traveling Salesman Problem, Parallel algorithm, Metaheuristics, Optimization Authors: Wojciech Bozejko, Mieczyslaw Wodecki Pages: 129-137 In this paper we present a evolutionary algorithm for solving traveling salesman problem (TSP). It deals with testing feasible solutions which are local minima. This method is based on the following observation: if there are

New Variants of Deflation Techniques for Pressure Correction in Bubbly Flow Problems

Issues 3-4 Volume 02

Date of Online Publication: 27/10/2007 Keywords: deflation, conjugate gradient method, preconditioning, Poisson equation, symmetric positive semi-definite matrices, bubbly flow problems, level-set Authors: J.M. Tang, C. Vuik Pages: 227-249 For various applications, it is well-known that deflated ICCG is an efficient method to solve linear systems iteratively. This deflated ICCG can also be used to solve

A Weakly Over-Penalized Non-Symmetric Interior Penalty Method

Issues 1-2 Volume 02

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

Stability Analysis of Linear Multistep Methods via Polynomial Type Variation

Issues 1-2 Volume 02

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.

Determination of the Heat Transfer Coeficient in the Law of Cooling for Gas-Quenching Systems

Issues 1-2 Volume 02

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

Computational Technologies for Reliable Control of Global and Local Errors for Linear Elliptic Type Boundary Value Problems

Issues 3-4 Volume 02

Date of Online Publication: 27/10/2007 Keywords: a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging Authors: A. Hannukainen, S. Korotov Pages: 157-176 The paper is devoted to the problem of reliable control of accuracy of approximate solutions obtained

Using Low-Rank Ensemble Kalman Filters for Data Assimilation with High Dimensional Imperfect Models

Issues 1-2 Volume 02

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

Parallelizing the Kogbetliantz Method A First Attempt

Issues 1-2 Volume 02

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

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