Mathematical Modeling

Problems, Methods, Applications

  • Ludmila A. Uvarova
  • Anatolii V. Latyshev

Table of contents

  1. Front Matter
    Pages i-ix
  2. Models of Nonlinear Phenomena in Physics

    1. Front Matter
      Pages 1-1
    2. Anatolii V. Latyshev, Alexander A. Yushkanov
      Pages 17-24
    3. Dmitri Yu. Ivanov
      Pages 37-50
  3. Numerical Methods and Computer Simulations

    1. Front Matter
      Pages 51-51
    2. B. N. Chetverushkin, M. V. Iakobovski, M. A. Kornilina, S. A. Sukov
      Pages 53-59
    3. M. V. Iakobovski, D. E. Karasev, P. S. Krinov, S. V. Polyakov
      Pages 71-78
  4. Mathematical Computer Models of Discrete Systems

    1. Front Matter
      Pages 113-113
    2. Valery B. Kudryavtsev, Alexander S. Strogalov
      Pages 115-119
    3. Dmitry N. Babin, Ivan L. Mazurenko
      Pages 121-125
  5. Mathematical Models in Economics

    1. Front Matter
      Pages 127-127
    2. Elena M. Krasavina, Aleksey P. Kolchanov, Aleksandr N. Rumyantsev
      Pages 129-134
    3. Victor I. Miheev, Maria V. Massalitina, Igor L. Tolmachev
      Pages 135-139
  6. Nonlinear Models in Chemical Physics and Physical Chemistry

  7. Mathematical Models of Transport Processes in Complex Systems

  8. Back Matter
    Pages 291-294

About this book


This volume contains review articles and original results obtained in various fields of modern science using mathematical simulation methods. The basis of the articles are the plenary and some section reports that were made and discussed at the Fourth International Mathematical Simulation Conference, held in Moscow on June 27 through July 1, 2000. The conference was devoted to the following scientific areas: • mathematical and computer discrete systems models; • non-linear excitation in condensed media; • complex systems evolution; • mathematical models in economics; • non-equilibrium processes kinematics; • dynamics and structure of the molecular and biomolecular systems; • mathematical transfer models in non-linear systems; • numerical simulation and algorithms; • turbulence and determined chaos; • chemical physics of polymer. This conference was supported by the Russian Ministry of Education, Russian foundation for Basic Research and Federal Program "Integration". This volume contains the following sections: 1. models of non-linear phenomena in physics; 2. numerical methods and computer simulations; 3. mathematical computer models of discrete systems; 4. mathematical models in economics; 5. non-linear models in chemical physics and physical chemistry; 6. mathematical models of transport processes in complex systems. In Sections One and Five a number of fundamental and sufficiently general problems, concerning real physical and physical-chemical systems simulation, is discussed.


algorithm algorithms complex systems mathematical modeling mathematical physics modeling numerical methods simulation

Editors and affiliations

  • Ludmila A. Uvarova
    • 1
  • Anatolii V. Latyshev
    • 2
  1. 1.Moscow State University of Technology “STANKIN”MoscowRussia
  2. 2.Moscow Pedagogical UniversityMoscowRussia

Bibliographic information

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