Continuous and Distributed Systems Theory and Applications [Hardcover]

In this volume, the authors close the gap between abstract mathematical approaches, such as abstract algebra, number theory, nonlinear functional analysis, partial differential equations, methods of nonlinear and multi-valued analysis, on the one hand, and practical applications in nonlinear mechanics, decision making theory and control theory on the other.

Readers will also benefit from the presentation of modern mathematical modeling methods for the numerical solution of complicated engineering problems in hydromechanics, geophysics and mechanics of continua. This compilation will be of interest to mathematicians and engineers working at the interface of these field. It presents selected works of the open seminar series of Lomonosov Moscow State University and the National Technical University of Ukraine Kyiv Polytechnic Institute. The authors come from Germany, Italy, Spain, Russia, Ukraine, and the USA.

Part I Abstract Algebra and Applications.- Algebra And Geometry Through Hamiltonian Systems.- On Hyperbolic Zeta Function of Lattices.- The Distribution Of Values Of Arithmetic Functions.- On the One Method of Constructing Digital Control System with Minimal Structure.- On Norm Maps and Universal Norms of Formal Groups over Integer Rings of Local Fields.- Assignment of Factors Levels for Design of Experiments with Resource Constraints.- Part II Mechanics and Numerical Methods.- How to Formulate the Initial-Boundary-Value Problem of Elastodynamics in Terms of Stresses?.- Finite-difference Method of Solution of the Shallow Water Equations on an Unstructured Mesh.- Dynamics of Vortices in Near-wall Flows with Irregular Boundaries.- Strongly Convergent Algorithms for lc¥