Applied Analysis of Composite Media

P. Drygas, Associate Professor, Department of Mathematical Analysis, University of Rzeszow, Poland Research interests: mathematical modelling, differential equation and statistics. Simon Gluzman is presently an Independent Researcher (Toronto, Canada) and formerly a Research Associate at PSU in Applied Mathematics. He is interested in Re-summation methods in theory of random and regular composites and the method of self-similar and rational approximants. Vladimir Mityushev is the Professor of Cracow University of Technology, a leader of the research group www.materialica.plus. He is interested in mathematical modeling and computer simulations, Industrial mathematics and boundary value problems and their applications. . Wojciech Nawalaniec is an Associate Professor in applied mathematics at Pedagogical University of Cracow, Kraków. He is interested in Computational methods, such as symbolic computation, mathematical modeling and algorithms.

1. Introduction to computational methods and the theory of composites 2. Algorithms, computations and structural information 3. Elasticity of hexagonal array of cylinders 4. Random elastic composites with circular inclusions 5. Effective conductivity of fibrous composites with cracks on interface 6. Effective conductivity of a random suspension of highly conducting spherical particles 7. Permeability of porous media 8. Simple fluids, suspensions and selected random systems