Issues 3-4

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 […]

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

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

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

Date of Online Publication: 27/10/2007 Keywords: Leontief model, input-output analysis, consumption matrix, M- matrix, inverse problem, inexact data, constrained total least squares, projected gradient Authors: S. Ragni, Moody T. Chu, F. Diele, C. Marangi Pages: 139-156 The Leontief model, originally developed for describing an economic system in terms of mutually interrelated and structurally conditioned simultaneous

Date of Online Publication: 27/10/2007 Keywords: Singular perturbation problem; asymptotic analysis; finite difference methods Authors: Kailash C. Patidar and Albert Shikongo Pages: 193-207 This paper deals with the design and implementation of some appropriate numerical methods for a model singularly perturbed differential equation. To adapt the local abrupt changes of the solution, we consider a

Date of Online Publication: 27/10/2007 Keywords: Collision, Contact-Force Model, Granular Material, Viscoelastic Particle Authors: M.H. Bordbar, T. Hypp�nen Pages: 115-128 An accurate new contact force model is proposed for describing the grain collision process. The linear and nonlinear contact force models and normal coefficient of restitution in different impact velocities has been studied. A new

Date of Online Publication: 27/10/2007 Keywords: Second-order Numerical Scheme for Singularly Perturbed, Singular perturbation problems, Robin boundary conditions, cubic spline, piecewise-uniform Shishkin mesh, error analysis. Authors: Srinivasan Natesan and Rajesh K. Bawa Pages: 177-192 In this article, we consider singularly perturbed reaction-diffusion Robin boundary-value problems. To solve these problems we construct a numerical method which