IAS  2005 Murmansk
International Arctic Seminar
Mathematica in Engineering

24 – 27 May 2005

Continuum Mechanics and Offshore Exploration Department
Murmansk State Technical University, Russia

IAS 2005 Talks and Papers

Photos from the IAS 2005 Event, the Trip, and the Workshop on Technical Computing at Rovaniemi

Principal topics of interest in IAS events are applications of computer algebra and technical computing, Mathematica in particular, in mathematics, computer science, the physical and biological sciences, engineering, economics, the arts, and education. The seminar provides a forum for researchers, teachers, and even students, from diverse fields to present original work, and to learn about current developments and uses of advanced scientific computing. Besides keynote lectures and contributed papers, the seminar offers tutorials on Mathematica, discussion forums, poster presentations and software demonstrations. A central objective is to secure as many students as possible to participate in the seminar.

The 6^th International Arctic Seminar, IAS 2005, followed the successful previous seminar in Murmansk (in May 2002), where a number of papers related to symbolic computation were presented by lecturers from Finland, Norway, and Russia for over 100 participants.

At IAS 2005, our emphasis was on applications of computer algebra technique in solving diverse engineering problems arising in the Offshore Oil & Gas Technology. However, many topics on symbolic computation, programming in Mathematica, and using Linux operating system were be presented and discussed.

The following topics were discussed in detail:

–  boundary value problems and their solutions in Mathematica (e.g., applications for drill stems and risers, and for submarine pipelines)

–  problems in applied mechanics, electronics, and mathematics (e.g., Lagrange's and Hamilton's formalisms in Mathematica, ultrasonic transducers, forest estimation and tree models, dynamical systems, chaos)

–  symbolic computation (theory and applications)

–  advanced methods in teaching by using Mathematica

–  distributed computing in Linux

The seminar included tutorials on Mathematica technical computing environment and on Linux operating system, discussion panels, and software demonstrations.

All IAS 2005 events took place at the Continuum Mechanics and Offshore Exploration Department of the Murmansk State Technical University.

Local Organising Committee


Alexander Papusha (Chair), Murmansk State Technical University, Russia

Victor Shtrasser (Vice-Chair), Murmansk State Technical University, Russia

Elmira Djamalova, Murmansk State Technical University, Russia

Natalia Fofonova, Murmansk State Technical University, Russia

Olga Gerasimova, Murmansk State Technical University, Russia,

Elena Malozemova, State Technical University, Russia

Gregoryi Mohov, Murmansk State Technical University, Russia,

Program Committee


Gautam Dasgupta (Chair), Columbia University, USA

Alexander Papusha (Vice-Chair), Murmansk State Technical University, Russia

Olga Buch, Murmansk State Technical University, Russia,

Tore Jonassen, Oslo University College, Norway,

Veikko Keränen, Rovaniemi Polytechnic, Finland

Alexander Namgaladze, Murmansk State Technical University, Russia

Alexander Prygunov, Murmansk State Technical University, Russia

Victor Shtrasser, Murmansk State Technical University, Russia

Klaus Sutner, Carnegie-Mellon University, Pittsburgh, USA,

Jouko Teeriaho, Rovaniemi Polytechnic, Finland

Alexander Zaitsev, Murmansk State Technical University, Russia,

Invited Speakers


Tore Jonassen, Oslo University College, Norway

Aspects of Computation of Fractal Dimensions

Abstract: We consider computational methods to calculate the Hausdorff and Box dimension of Julia sets arising from complex dynamical systems generated by polynomials and rational complex functions and also some other fractal sets. Some of the existing algorithms are very easy to implement, but we have no control over the accuracy of the results. Other algorithms provides error estimates, but in many of these cases new numerical problems arise. We discuss some of these methods, and use both C programming and Mathematica programming to implement the algorithms, and compute a lot of examples. Some of the algorithms are well suited for parallel computations, in particular box counting methods with refinements.

PDF File on Aspects of Computation of Fractal Dimensions (2.4 MB)

Extra files with MathLink and C code for External Functions
T. M. Jonassen & R. Ghulghazaryan: Mathematica Notebook on LaguerreNRoot (20 KB)
T. M. Jonassen & R. Ghulghazaryan: Mathematica Notebook on LaguerreNSolve (520 KB)


Veikko Keränen, Rovaniemi Polytechnic, Finland

Visualizations of Abelian Pattern-Free Words
Zipped Mathematica Notebook (3.5 MB)
Just the Mathematica Notebook (24 MB)


Alexander Papusha, Murmansk State Technical University, Russia

Lagrange's and Hamilton's Formalisms in Mathematica
Zipped Mathematica Notebook on Lagrange's and Hamilton's Formalisms(269 KB) --- Just the Mathematica Notebook (2.4 MB)

Extra files on Fractals
Zipped Mathematica Notebook on Fractals (258 KB) --- Just the Mathematica Notebook (2.6 MB)


Matti Rahkala, Rovaniemi Polytechnic, Finland

Developing and Testing Phased Array Ultrasonic Transducers
PowerPoint File (11 MB)


Markus Rosenkranz, Austrian Academy of Sciences, Linz, Austria

Using Mathematica's Rewriting Machinery for the Symbolic Solution of Linear Two-Point Boundary Value Problems
Mathematica Notebook (166 KB)

The Theorema System - Basic Facts & Implementation Aspects + Tutorial on Mathematica Front End Programming
Mathematica Notebook (235 KB)


Jouko Teeriaho, Rovaniemi Polytechnic, Finland

Forest Estimation and Tree Models with Mathematica
Zipped Mathematica Notebook on Forest Modelling(269 KB) --- Just the Mathematica Notebook (2.4 MB)

Tutorial on Mathematica Graphics
Zipped Notebook on Mathematica Graphics (5 MB) --- Just the Notebook (24 MB)

Student's Presentations


Ruslan Kazantsev, Rovaniemi Polytechnic, Finland

Fractals and Chaos Theory
PowerPoint File (339 KB)


Sami Vuolli, Rovaniemi Polytechnic, Finland

pLAB - Virtual Reality Programming Laboratory
PowerPoint File (4 MB)

Organisers


Murmansk State Technical University, Russia

Oslo University College, Oslo, Norway

Rovaniemi Institute of Technology, Rovaniemi, Finland

Addresses


For more details please visit

algebra.fi

or contact

Alexander Papusha using the address form:
GivenName.Surname@mstu.edu.ru

or

Veikko Keranen using the address form:
GivenName.Surname@lapinamk.fi
   
    


Created by Mathematica  (April 8, 2005)
Last update January 18, 2018