M.K. Kadalbajoo and A.S.Yadaw2 Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208016, India Received 9 December, 2009; accepted in revised form 20 December, 2010 Abstract: The objective of this paper is to present a comparative study of fitted-mesh finite difference method, Ritz-Galerkin finite element method and B-spline collocation method for a […]

B. V. Faleichik2 Computational Mathematics Department, Faculty of Applied Mathematics and Computer Science, Belarusian State University, 220030 Minsk, Belarus Received October 21, 2009; accepted in revised form January 19, 2010. Abstract: Currently there are two general ways to solve stiff differential equations numerically. The first approach is based on implicit methods and the second uses

V.V. Kozhevnikov1, V.V. Prikhodko1, V.V. Svetukhin1, A.V. Zhukov1, A.N. Fomin1, M.Yu. Leontyev1, D.Ya. Vostretsov1, A.A. Sobolev1, V.I. Skrebtsov1, V.E. Kiryukhin1, V.V. Levschanov1, D.S. Lavygin1, E.M. Chavkin1, E.R. Mingachev1, R.G. Bildanov1, S.V. Pavlov2, V.N. Kovalnogov1 1 S.P. Kapitsa Research Institute of Technology (Technological Research Institute) of Ulyanovsk State University, Ulyanovsk, Russia 2 Sosny Research and Development

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

Keywords: nodal splines, singular integral equations Abstract: In this paper we introduce a nodal spline collocation method for the numerical solution of Cauchy singular integral equations. Uniform error bounds of the approximate solution are provided and some numerical examples are presented.   Download PDF

?.V. Tsvetova, V.N. Kovalnogov, R.V. Fedorov Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia � European Society of Computational Methods in Sciences and Engineering Keywords: numerical simulation, gas-dynamic temperature stratification, dispersion flow, heat transfer coefficient, developed surfaces Mathematics Subject Classification: 65R20 Numerical methods for integral equations

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: 31/03/2006 Keywords: Ordinary differential equations, boundary value problems, collocation, residual, Authors: J. Kierzenka, L.F. Shampine Pages: 27-41 We describe the algorithms and implementation of the bvp5c program for solving boundary value problems (BVPs) for ordinary differential equations. A remarkable relationship between scaled residual and true error is established for the four-point

Gaussian Scale Mixtures Miguel Martins Felgueiras 1 *, Jo�o Paulo Martins**, Rui Filipe Santos** * CEAUL Lisbon and ESTG, CIGS, Polytechnic Institute of Leiria, Portugal ** CEAUL Lisbon and ESTG, Polytechnic Institute of Leiria, Portugal Abstract: In this paper we present a parsimonious approximation of a Gaussian mixture when its components share a common mean