Mathematical Modeling

1. Front Matter

   Pages i-ix

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2. Models of Nonlinear Phenomena in Physics

   1. Front Matter

      Pages 1-1

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   2. Spectral Changes of 1/F Noise in Metals at Clusterization of Light Interstitials

      • Alexei A. Berzin

      Pages 3-16

   3. Analytic Solutions of Boundary Value Problems for Model Kinetic Equations

      • Anatolii V. Latyshev, Alexander A. Yushkanov

      Pages 17-24

   4. Mathematical Models in Non-Linear Systems Thermodynamics

      • Andrei V. Tatarintsev

      Pages 25-36

   5. Critical Opalescence: Models—Experiment

      • Dmitri Yu. Ivanov

      Pages 37-50

3. Numerical Methods and Computer Simulations

   1. Front Matter

      Pages 51-51

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   2. Methane Combustion Simulation on Multiprocessor Computer Systems

      • B. N. Chetverushkin, M. V. Iakobovski, M. A. Kornilina, S. A. Sukov

      Pages 53-59

   3. Computer Simulation of Structural Modifications in the Metal Samples Irradiated by Pulsed Beams

      • Igor V. Puzynin, Valentin N. Samoilov

      Pages 61-69

   4. Visualisation of Grand Challenge Data on Distributed Systems

      • M. V. Iakobovski, D. E. Karasev, P. S. Krinov, S. V. Polyakov

      Pages 71-78

   5. Simulation of Electron Transport in Semiconductor Microstructures: Field Emission from Nanotip

      • V. A. Fedirko, Yu. N. Karamzin, S. V. Polyakov

      Pages 79-89

   6. Reliable Computing Experiment in the Study of Generalized Controllability of Linear Functional Differential Systems

      • Vladimir P. Maksimov, Aleksandr N. Rumyantsev

      Pages 91-98

   7. Heat Transfer in Disperse Systems of Various Structures and Configurations

      • Marina A. Smirnova

      Pages 99-111

4. Mathematical Computer Models of Discrete Systems

   1. Front Matter

      Pages 113-113

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   2. Some New Results in the Theory of Intelligent Systems

      • Valery B. Kudryavtsev, Alexander S. Strogalov

      Pages 115-119

   3. An Automata Approach to Analysis and Synthesis of Audio and Video Patterns

      • Dmitry N. Babin, Ivan L. Mazurenko

      Pages 121-125

5. Mathematical Models in Economics

   1. Front Matter

      Pages 127-127

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   2. A Mathematical Model of Controlling the Portfolio of a Commercial Bank

      • Elena M. Krasavina, Aleksey P. Kolchanov, Aleksandr N. Rumyantsev

      Pages 129-134

   3. Tutoring Process as Object for Situational Control

      • Victor I. Miheev, Maria V. Massalitina, Igor L. Tolmachev

      Pages 135-139

6. Nonlinear Models in Chemical Physics and Physical Chemistry

   1. Front Matter

      Pages 141-141

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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

• Moscow State University of Technology “STANKIN”, Moscow, Russia

  Ludmila A. Uvarova

• Moscow Pedagogical University, Moscow, Russia

  Anatolii V. Latyshev

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