Synopses & Reviews
This book contains review articles and original results in problems and methods of mathematical simulation and their applications in various fields. The articles included are based on the reports that were presented at the Fourth International Mathematical Modeling Conference (Moscow, Russia, June 27 - July 1, 2000). The book is intended for specialists, as well as for post-graduates and students in the areas of mathematical modeling, algorithms and computational theory, mathematical physics, discrete mathematics, physics, physical chemistry, transfer theory, and economics.
Synopsis
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.
Table of Contents
1. Models of Nonlinear Phenomena in Physics.
2. Numerical Methods and Computer Simulations.
3. Mathematical Computer Models of Discrete Systems.
4. Mathematical Models in Economics.
5. Nonlinear Models in Chemical Physics and Physical Chemistry.
6. Mathematical Models of Transport Processes in Complex Systems.