Logical Termination of Work ows: An Interdisciplinary Approach

Issues 3-4 Volume 05

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 […]

The SCHOL Project at the University of Maryland: Using Mathematical Softwar

Issues 1-2 Volume 03

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

Hamiltonian Boundary Value Methods (Energy Preserving Discrete Line Integral Methods)

Issues 1-2 Volume 05

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.

Stability Analysis of Linear Multistep Methods via Polynomial Type Variation

Issues 1-2 Volume 02

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.

Finite Integration Method Using Chebyshev Expansion for Solving Nonlinear Poisson Equations on Irregular Domains

Issues 1-2 Volume 14

A. Duangpan1 and R. Boonklurb2 1,2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand Received 27 March, 2019; accepted in revised form 28 April, 2020 Abstract: Several boundary value problems are de ned on complex shaped domains, such as pentagonal, circular, L-shaped, butter y, peanut-shaped and elliptic domains. These irregular

Some Computational Aspects of Helly-type Theorems

Issues 3-4 Volume 03

Keywords: Helly’s theorem; set of width; set of constant width Mathematics Subject Classifcation: 52A01 Abstract: In this paper, we prove that, for a given positive number d, if every n + 1 of a collection of compact convex sets in IEn contain a set of width d (a set of constant width d, respectively) simultaneously,

Forty-Five Years of A-stability

Issues 1-2 Volume 04

Keywords: Stiff problems, A-stability, stability barriers, order stars, order arrows, nonlinear stability. Abstract: We discuss two events with profound implications on the way initial value problems are solved numerically. The first was the identification of stiffness as a widely spread phenomenon affecting the ability to obtain useful results. The second was the definition of A-stability

Fundamentals of Mathematical Modeling of Cognitive Digital Automata

Issues 1-2 Volume 13

V.V. Kozhevnikov Technological Research Institute of Ulyanovsk State University, 1/4 Universitetskaya Naberezhnaya, Ulyanovsk, 432017, Russia Received: 31 May 2019; accepted in revised form: 18 June 2019 Abstract An approach to the mathematical modeling of cognitive digital automata (CDA) is proposed. This approach represents a further development of the theory of digital automata and is based

pythNon: A PSE for the Numerical Solution of Nonlinear Algebraic Equations

Issues 1-2 Volume 03

Date of Online Publication: 31/03/2008 Keywords: Nonlinear algebraic equations, Newton’s method, problem-solving environment Authors: Raymond J. Spiteri and Thian-Peng Ter Pages: 123-137 Nonlinear algebraic equations (NAEs) occur routinely in many scientific and engineering problems. The process of solving these NAEs involves many challenges, from finding a suitable initial guess to choosing an appropriate convergence criterion.

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