Date of Online Publication: 26/08/2006 Keywords: Conditioning, stability, stiffness, dynamical systems, boundary value problems, ordinary differential equations, numerical linear algebra Authors: Felice Iavernaro, Francesca Mazzia and Donato Trigiante Pages: 91-112 The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All of them have in common the general concept of […]
S. Iqbala, A. R. Ansarib1, A. Javedc and A. M. Siddiquid aDepartment of Computer Science, COMSATS Institute of Information Technology, Sahiwal Campus, Pakistan. bCentre for Advance Studies in Engineering (CASE), 19-Attaturk Avenue, G-5/1, Islamabad, Pakistan. cDepartment of Mathematics & Natural Sciences, Gulf University for Science & Technology, P.O. Box 7207, Hawally 32093, Kuwait dDepartment of
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
E. Hairer3 Universit�e de Gen`eve, Section de Math�ematiques, 2-4 rue du Li`evre, CH-1211 Gen`eve 4, Switzerland Received 15 October, 2009; accepted in revised form 21 March, 2010 Abstract: We propose a modification of collocation methods extending the ‘averaged vector field method’ to high order. These new integrators exactly preserve energy for Hamiltonian systems, are of
S.A. Khuri1, I. Louhichi, A. Sayfy Department of Mathematics and Statistics, American University of Sharjah – UAE Received 14 January, 2019; accepted in revised form 26 January, 2021 Abstract: In this article, we study a fixed point iteration scheme that involves the Green’s function for the numerical solution of a larger class of fourth order
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
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