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
Lokendra K. Balyana,1, Subir Singh Lambab a,bDepartment of Mathematics, IIIT-DM Jabalpur, India 1Corresponding author: E-mail: lokendra.balyan@gmail.com Abstract: In this paper, we present rate of convergence estimates for eigenvalues and eigenvectors of elliptic differential operators on non-smooth domains using non-conforming spectral element methods. We define a class of compact operators on Banach space which is used
Primitive Recursion and – – Recursivity Date of Online Publication: 22/12/2006 Keywords: Recursive Functions Theory, Mathematical Analysis, Automata Theory. Authors: A. Garrido Pages: 273-280 We analyze the different types of recursivity and their mutual relationships. Finally, we will use the Ackermann – Peter function to prove that the – recursivity does not imply the primitive
Devendra Kumar, M.K. Kadalbajoo Received 5 August, 2011; accepted in revised form 22 July, 2012 Abstract: This paper is devoted to the numerical study for a class of boundary value problems of second-order differential equations in which the highest order derivative is multiplied by a small parameter ? and both the convection and reaction terms
E.M. Chavkin1, A.N. Fomin1, V.V. Prikhodko1, A.A. Sobolev1, A.V.Zhukov1, P.E. Kapustin1, V.E. Kiryukhin1, D.S. Lavygin1, V.V. Levshchanov1, S.V. Pavlov2, V.P. Smirnov2, V.V. Svetukhin3 1S.P. Kapitsa Technological Research Institute of Ulyanovsk State University, Ulyanovsk, Russia, vp@kapitsa.tech 2 Sosny Research and Development Company, Dimitrovgrad, Ulyanovsk region, Russia 3 SMC �Technological Center�, Zelenograd, Moscow, Russia. Received: 12 November