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Mathematical Modeling : Problems, Methods, Applications - Ludmilla A. Uvarova

Mathematical Modeling

Problems, Methods, Applications

By: Ludmilla A. Uvarova (Editor), Anatolii V. Latyshev (Editor)


Published: 31st December 2001
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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.

Models of Nonlinear Phenomena in Physics
Spectral Changes of 1/F Noise in Metals at Clusterization of Light Interstitialsp. 3
Analytic Solutions of Boundary Value Problems for Model Kinetic Equationsp. 17
Mathematical Models in Non-Linear Systems Thermodynamicsp. 25
Critical Opalescence - Models: Experimentp. 37
Numerical Methods and Computer Simulations
Methane Combustion Simulation on Multiprocessor Computer Systemsp. 53
Computer Simulation of Structural Modifications in the Metal Samples Irradiated by Pulsed Beamsp. 61
Visualisation of Grand Challenge Data on Distributed Systemsp. 71
Simulation of Electron Transport in Semiconductor Microstructures: Field Emission from Nanotipp. 79
Reliable Computing Experiment in the Study of Generalized Controliability of Linear Functional Differential Systemsp. 91
Heat Transfer in Disperse Systems of Various Structures and Configurationsp. 99
Mathematical Computer Models of Discrete Systems
Some New Results in the Theory of Intelligent Systemsp. 115
An Automata Approach to Analysis and Synthesis of Audio and Video Patternsp. 121
Mathematical Models in Economics
A Mathmatical Model of Controlling the Portfolio of a Commercial Bankp. 129
Tutoring Process as Object for Situational Controlp. 135
Nonlinear Models in Chemical Physics and Physical Chemistry
Nonlinear Dynamics of Strongly Non-Homogeneous Chains with Symmetric Characteristicsp. 143
Models of Directed Self-Avoiding Walks and Statistics of Rigid Polymer Moleculesp. 155
Postulate of the Arithmetical Mean and Nonbonded Interactionsp. 167
Quantum-Chemical Models of the Structure and the Functions of the Active Centres of the Polynuclear Complexesp. 175
Mathematical Models of Transport Processes in Complex Systems
Asymptotics of Transport Equations for Spherical Geometry in L[superscript 2] with Reflecting Boundary Conditionsp. 183
Traveling Heat Waves in High Temperature Mediump. 197
Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physicsp. 205
Computational Methods for the Estimation of the Aerosol Size Distributionsp. 219
Two Disperse Particles in the Field of the Electromagnetic Radiationp. 231
Transport Processes in Aerodisperse Systems: Transitional Growth of Nonspherical Particles and Mobility of Ionsp. 245
Solution of Some Nonlinear Problems in the Theory of Heating, Vaporization, and Burning of Solid Particles and Dropsp. 255
On the Irreducible Tensors Method in the Theory of Diffusive Interaction between Particlesp. 267
Evaporation and Growth of Single Drops and Finite Array of Interacting Drops of Pure Liquids and Hygroscopic Solutionsp. 279
Indexp. 291
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306466649
ISBN-10: 0306466643
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 294
Published: 31st December 2001
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 25.4 x 17.8  x 1.91
Weight (kg): 1.77