Mathematical Modeling: Problems, Methods, Applications Book

1	Models of Nonlinear Phenomena in Physics
	Spectral Changes of 1/F Noise in Metals at Clusterization of Light Interstitials	3
	Analytic Solutions of Boundary Value Problems for Model Kinetic Equations	17
	Mathematical Models in Non-Linear Systems Thermodynamics	25
	Critical Opalescence - Models: Experiment	37
2	Numerical Methods and Computer Simulations
	Methane Combustion Simulation on Multiprocessor Computer Systems	53
	Computer Simulation of Structural Modifications in the Metal Samples Irradiated by Pulsed Beams	61
	Visualisation of Grand Challenge Data on Distributed Systems	71
	Simulation of Electron Transport in Semiconductor Microstructures: Field Emission from Nanotip	79
	Reliable Computing Experiment in the Study of Generalized Controliability of Linear Functional Differential Systems	91
	Heat Transfer in Disperse Systems of Various Structures and Configurations	99
3	Mathematical Computer Models of Discrete Systems
	Some New Results in the Theory of Intelligent Systems	115
	An Automata Approach to Analysis and Synthesis of Audio and Video Patterns	121
4	Mathematical Models in Economics
	A Mathmatical Model of Controlling the Portfolio of a Commercial Bank	129
	Tutoring Process as Object for Situational Control	135
5	Nonlinear Models in Chemical Physics and Physical Chemistry
	Nonlinear Dynamics of Strongly Non-Homogeneous Chains with Symmetric Characteristics	143
	Models of Directed Self-Avoiding Walks and Statistics of Rigid Polymer Molecules	155
	Postulate of the Arithmetical Mean and Nonbonded Interactions	167
	Quantum-Chemical Models of the Structure and the Functions of the Active Centres of the Polynuclear Complexes	175
6	Mathematical Models of Transport Processes in Complex Systems
	Asymptotics of Transport Equations for Spherical Geometry in L[superscript 2] with Reflecting Boundary Conditions	183
	Traveling Heat Waves in High Temperature Medium	197
	Smooth Lyapunov Manifolds and Correct Mathematical Simulation of Nonlinear Singular Problems in Mathematical Physics	205
	Computational Methods for the Estimation of the Aerosol Size Distributions	219
	Two Disperse Particles in the Field of the Electromagnetic Radiation	231
	Transport Processes in Aerodisperse Systems: Transitional Growth of Nonspherical Particles and Mobility of Ions	245
	Solution of Some Nonlinear Problems in the Theory of Heating, Vaporization, and Burning of Solid Particles and Drops	255
	On the Irreducible Tensors Method in the Theory of Diffusive Interaction between Particles	267
	Evaporation and Growth of Single Drops and Finite Array of Interacting Drops of Pure Liquids and Hygroscopic Solutions	279
	Index	291