Rate of convergence estimates for second order elliptic eigenvalue problems on polygonal domains using spectral element methods

Issues 1-2 Volume 09-10

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

Issues 3 Volume 01

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

Numerical Treatment of Singularly Perturbed Delay Differential Equations Using B-Spline Collocation Method on Shishkin Mesh

Issues 3-4 Volume 07

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

RADIATION-RESISTANT ROBOTIC COMPLEX: HARDWARE, SOFTWARE AND MATHEMATICAL CONCEPTS

Issues 3-4 Volume 13

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

An Efficient Scheme for Meshless Analysis Based on Radial Basis Functions

Issues 3-4 Volume 04

Date of Online Publication: 02/11/2010 Keywords: Partial Differential Equations, Meshless Method, Radial Basis Function, Radial Point Interpolation Abstract: A meshless method based on radial point interpolation was recently developed as an effective tool for solving partial differential equations, and has been widely applied to a number of different problems. In addition to the primary advantage

A Weakly Over-Penalized Non-Symmetric Interior Penalty Method

Issues 1-2 Volume 02

Date of Online Publication: 14/04/2007 Keywords: interior penalty methods, weakly over-penalized, preconditioner, quasi-optimal error estimates Authors: Susanne C. Brenner, Luke Owens Pages: 35-48 A weakly over-penalized nonsymmetric interior penalty method for second order elliptic boundary value problems is considered in this paper. This method is consistent, stable for any choice of the penalty parameter and

THE CONCEPT OF DESIGNING AN INTELLECTUAL ROBOT CONTROL SYSTEM BASED ON THE MATHEMATICAL MODEL OF COGNITIVE DIGITAL AUTOMATA

Issues 3-4 Volume 12

V.V.Kozhevnikov1, B.M.Kostishko1, M.Yu.Leontev1, E.R.Mingachev1, S.V.Pavlov2, V.V.Prikhodko1 1S.P. Kapitsa Technological Research Institute of Ulyanovsk State University, Ulyanovsk, Russia 2Sosny Research and Development Company, Dimitrovgrad, Ulyanovsk region, Russia Received: 10 November 2018; accepted in revised form: 04 December 2018 Abstract. An intellectual control system (ICS) to control robots can be built (designed) on the basis of the

PREFACE_2

Issues 1-2 Volume 03

Date of Online Publication: 31/03/2008 Keywords: Numerical Computing, Problem Solving Environments, Differential Equations Authors: L.F. Shampine Pages: i This special volume is devoted to computation in problem solving environments (PSEs) with emphasis on differential equations. Exploiting the amazing developments in computer hardware and graphical interfaces, PSEs try to make it as easy as possible to

Landmark-Based Registration Using a Local Radial Basis Function Transformation

Issues 3-4 Volume 05

R. Cavoretto2, A. De Rossi3 Department of Mathematics, University of Turin, via C. Alberto 10, I-10123, Turin, Italy B. Quatember4 Innsbruck Medical University (Radiology), Anichstrasse 35, 6020 Innsbruck, Austria Received 19 January, 2009; accepted in revised form 18 December, 2010 Abstract: In this paper we propose the use of a local image transformation involving radial

Optimal Stability of Bivariate Tensor Product B-bases

Issues 3-4 Volume 06

E. Mainar and Juan Manuel Pena Departamento de Matematica Aplicada, Universidad de Zaragoza, Zaragoza, Spain Received 15 December, 2009; accepted in revised form 18 October, 2011 Abstract: We analyze some properties of bivariate tensor product bases. In particular, we obtain conditions so that a general bivariate tensor product basis is optimally stable for evaluation. Finally,

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