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Full Description
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.
Contents
Spectral Changes of 1/F Noise in Metals at Clusterization of Light Interstitials.- Analytic Solutions of Boundary Value Problems for Model Kinetic Equations.- Mathematical Models in Non-Linear Systems Thermodynamics.- Critical Opalescence—Models: Experiment.- Methane Combustion Simulation on Multiprocessor Computer Systems.- Computer Simulation of Structural Modifications in the Metal Samples Irradiated by Pulsed Beams.- Visualisation of Grand Challenge Data on Distributed Systems.- Simulation of Electron Transport in Semiconductor Microstructures: Field Emission from Nanotip.- Reliable Computing Experiment in the Study of Generalized Controllability of Linear Functional Differential Systems.- Heat Transfer in Disperse Systems of Various Structures and Configurations.- Some New Results in the Theory of Intelligent Systems.- An Automata Approach to Analysis and Synthesis of Audio and Video Patterns.- A Mathematical Model of Controlling the Portfolio of a Commercial Bank.- Tutoring Process as Object for Situational Control.- Nonlinear Dynamics of Strongly Non-Homogeneous Chains with Symmetric Characteristics.- Models of Directed Self-Avoiding Walks and Statistics of Rigid Polymer Molecules.- Postulate of the Arithmetical Mean and Nonbonded Interactions.- Quantum-Chemical Models of the Structure and the Functions of the Active Centres of the Polynuclear Complexes.- Asymptotics of Transport Equations for Spherical Geometry in L2 with Reflecting Boundary Conditions.- Traveling Heat Waves in High Temperature Medium.- Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physics.- Computational Methods for the Estimation of the Aerosol Size Distributions.- Two Disperse Particles in the Field of the ElectromagneticRadiation.- Transport Processes in Aerodisperse Systems: Transitional Growth of Nonspherical Particles and Mobility of Ions.- Solution of Some Nonlinear Problems in the Theory of Heating, Vaporization, Burning of Solid Particles and Drops.- On the Irreducible Tensors Method in the Theory of Diffusive Interaction between Particles.- Evaporation and Growth of Single Drops and Finite Array of Interacting Drops of Pure Liquids and Hygroscopic Solutions.
