Keywords: Linear Multistep Methods, Boundary Value Methods, Conditioning, Vandermonde matrix, Bernstein polynomials, Bjork-Pereyra algorithm Abstract: The numerical solution of Boundary Value Problems usually requires the use of an adaptive mesh selection strategy. For this reason, when a Linear Multistep Method is considered, a dynamic computation of its coeffcients is necessary. This leads to solve linear […]
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: 02/11/2010 Keywords: Edge detection, discontinuities, wavelets, polyharmonic splines. Abstract: In this paper we consider the problem of detecting, from a finite discrete set of points, the curves across which a two-dimensional function is discontinuous. We propose a strategy based on wavelets which allows to discriminate the edge points from points in
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
Carla M.A. Pinto2 *, Diana Rocha*, Cristina P. Santos** * Instituto Superior de Engenharia do Porto and Centro de Matematica da Universidade do Porto Rua Dr Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal ** Universidade do Minho Dept. Electronica Industrial Campus de Azurem 4800-058 Guimaraes, Portugal Received 29 December, 2011; accepted in revised form
Keywords: Numerical methods for ordinary differential equations, General Linear Methods, Boundary Value Methods (BVMs), Generalized Backward Differentiation Formulae (GBDF), Blended Implicit Methods, blended iteration. Abstract: Among the methods for solving ODE-IVPs, the class of General Linear Methods (GLMs) is able to encompass most of them, ranging from Linear Multistep Formulae (LMF) to RK formulae. Moreover,
NICOLETA E. TARFULEA DEPARTMENT OF MATHEMATICS, PURDUE UNIVERSITY NORTHWEST, USA Abstract. HIV can infect cells via cell-to-cell and virus-to-cell transmissions. These two types of transmission may occur in a combined way and enable viral spread. In this paper, we investigate analytically and numerically the influence of these two transmission modes, as well as the viral
Date of Online Publication: 26/08/2006 Keywords: Boundary Value Problems, Ordinary Differential Equations, B-Splines, Spline Collocation, Boundary Value Methods Authors: Francesca Mazzia, Alessandra Sestini and Donato Trigiante Pages: 131-144 BS methods are a special class of Linear Multistep Methods defined using B-spline functions. These methods are always convergent and have good stability properties when used as
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
F. Iavernaro3 Dipartimento di Matematica, Universita di Bari, I-70125 Bari, Italy D. Trigiante Dipartimento di Energetica, Universita di Firenze, I-50134 Firenze, Italy Received 11 March, 2009; accepted in revised form 23 April, 2009 Dedicated to John Butcher on the occasion of his 75th birthday Abstract: We define a class of arbitrary high order symmetric one-step