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 […]
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
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
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
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
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,
Gloria Cravo2 Centro de Ci?encias Exactas e da Engenharia, Universidade da Madeira, 9000-390 Funchal, Madeira, Portugal Received 17 January, 2009; accepted in revised form 14 December, 2010 Abstract: In this paper we present a new formalism to study the structure of workflows. A workflow is an abstraction of a business process that consists of one
Date of Online Publication: 31/03/2008 Keywords: Differential equations course, computer supplement, mathematical software Authors: Ronald L. Lipsman, John E. Osborn, and Jonathan M. Rosenberg2 Pages: 81-103 At the University of Maryland, we have experimented over the last 16 years with the use of several problem-solving environments (PSEs) to enhance the teaching and enrich the syllabus
Luigi Brugnano3 Dipartimento di Matematica “U.Dini”, Universit`a di Firenze Viale Morgagni 67/A, I-50134 Firenze, Italy Felice Iavernaro4 Dipartimento di Matematica, Universit`a di Bari Via Orabona 4, I-70125 Bari, Italy Donato Trigiante5 Dipartimento di Energetica “S.Stecco”, Universit`a di Firenze Via Lombroso 6/17, I-50134 Firenze, Italy Received October 25, 2009; accepted in revised form April 15, 2010.
Date of Online Publication: 14/04/2007 Keywords: Linear multistep methods, Stability of numerical methods, polynomial type Authors: L. Aceto, R. Pandolfi, D. Trigiante Pages: 1-9 The linear stability analysis for linear multistep methods leads to study the location of the roots of the associated characteristic polynomial with respect to the unit circle in the complex plane.