IAS   2005 Talks and Papers
International Arctic Seminar in Murmansk
Mathematica in Engineering

Continuum Mechanics and Offshore Exploration Department
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)
Zipped: All Veikko's Notebooks and Folders (15 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

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,

Addresses

For more details please visit

http://south.rotol.ramk.fi

or contact

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

or

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

Created by Mathematica  (April 8, 2005)
Last update June 2, 2005