Editor: Andrzej Z. Grzybowski
Czestochowa University of Technology
Institute of Mathematics

serie Monographs, No 331
Publishing Office of Czestochowa University of Technology
Częstochowa 2017

ISBN: 978-83-7193-668-5
ISSN: 0860-5017

The Conference page:
Mathematical Modeling in Physics and Engineering 2017


This book on Selected Topics in Contemporary Mathematical Modeling contains twelve refereed invited chapters written by authors of the most interesting and inspiring results presented during the Conference on Mathematical Modeling in Physics and Engineering which was held at Poraj, Poland, 18-21 September 2017. The conference and publication of this volume were supported by Polish Ministry of Science and Higher Education, grant No. 829/P-DUN/2017.

The conference Mathematical Modeling in Physics and Engineering was organized by the Institute of Mathematics of Czestochowa University of Technology for the 9th time. The topics of the conference cover various aspects of mathematical modeling and the usage of computer methods in modern problems of physics and engineering. Every year the conference participants represent a prominent group of recognized scientists as well as young researchers and PhD students from domestic and foreign universities.

Mathematical modeling has great potential for solving problems that arise in natural, industrial and social sciences. It has been used for decades to help scientists understand the mechanisms and dynamics behind experimental observations. The area of its possible applications is immense.

This volume focuses on the improvement of contemporary modeling techniques, and it presents its both theoretical and practical applications thus exploiting the innovative uses of mathematical modeling. It reflects the main thrust of research in applications of the mathematical modeling and establishes contacts with the current frontiers of this field.

I wish to express my appreciation to the authors of all chapters for their important contribution. Due to their fruitful research and helpful cooperation it was possible to provide such a broad coverage of this area of scientific research.

Andrzej Z. Grzybowski


  • Chapter 1
    A numerical solution of a fractional oscillator equation with various types of boundary conditions
    Tomasz Błaszczyk, Jarosław Siedlecki, Mariusz Ciesielski
    pp. 9-22
    download PDF  DOI: 10.17512/STiCMM2017.01

  • Chapter 2
    Measurement of the uncertainty
    Jan Čapek, Martin Ibl
    pp. 23-37
    download PDF  DOI: 10.17512/STiCMM2017.02

  • Chapter 3
    Statistics of evolving failures in arrays of pillars under a mixed-mode load transfer
    Tomasz Derda
    pp. 39-55
    download PDF  DOI: 10.17512/STiCMM2017.03

  • Chapter 4
    Creation of an optimal shape of domain using the topological derivative and boundary element method
    Katarzyna Freus, Sebastian Freus
    pp. 57-68
    download PDF  DOI: 10.17512/STiCMM2017.04

  • Chapter 5
    Numerical modelling of mechanical phenomena in coronary stents
    Aneta Idziak-Jabłońska
    pp. 69-86
    download PDF  DOI: 10.17512/STiCMM2017.05

  • Chapter 6
    Modeling of the diffusion phenomenon in media with membranes by generalized diffusion processes
    Bohdan Kopytko, Roman Schevchuk
    pp. 87-108
    download PDF  DOI: 10.17512/STiCMM2017.06

  • Chapter 7
    Numerical analysis of sandwich panels subjected to torsion
    Zbigniew Pozorski
    pp. 109-122
    download PDF  DOI: 10.17512/STiCMM2017.07

  • Chapter 8
    Decision support for reverse logistics using neural networks
    Magdalena Scherer
    pp. 123-131
    download PDF  DOI: 10.17512/STiCMM2017.08

  • Chapter 9
    Biometric systems based on palm vein and forearm vein patterns
    Dorota Smorawa, Mariusz Kubanek
    pp. 133-151
    download PDF  DOI: 10.17512/STiCMM2017.09

  • Chapter 10
    Divergence and flutter instability of a stepped column loaded by the follower force
    Krzysztof Sokół
    pp. 153-165
    download PDF  DOI: 10.17512/STiCMM2017.10

  • Chapter 11
    Categorical semantics of programming languages
    William Steingartner, Valerie Novitzká
    pp. 167-192
    download PDF  DOI: 10.17512/STiCMM2017.11

  • Chapter 12
    Analytical descriptions of a temperature field in a massive body caused by moved volumetric heat source model for application to welding processes
    Jerzy Winczek
    pp. 193-213
    download PDF  DOI: 10.17512/STiCMM2017.12