Mathematics Without Boundaries

This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including applications of computers to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems and experimental design.

The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information.

Includes the latest information in pure mathematical sciences from some of the most eminent researchers in their fields Provides state-of-the-art research in theory and problem solving Advances interdisciplinary research through close collaboration with researchers in a variety of fields

Inhalt

The Planar Inverse Problem of Dynamics (M.C. Anisiu).- A Survey on Direct Search Methods for Blackbox Optimization and Their Applications (C. Audet).- Recent Developments on Primal-Dual Splitting Methods with Applications to Convex Minimization (R.I. Bot, E.R. Csetnek, C. Hendrich).- How to Catch Smoothing Properties and Analyticity of Functions by Computers? (L.P. Castro, H. Fujiwara, T. Quian, S. Saitoh).- Neighboring Local Optimal Solutions and its Applications (H.D. Chiang, T. Wang).- Epidemiological Diffusion and Discrete Branching Models for Malware Propagation in Computer Networks (N.J. Daras).- Vector Optimization in Medical Engineering (G. Eichfelder).- Mathematical Models of Elastic and Piezoelectric Fields in Two-Dimensional Composites (L.Filshtinsky, V. Mityushev).- Approximation by Complex Durrmeyer Type Operators in Compact Disks (S.G. Gal, V. Gupta).- Stability of Neutral Type Vector Functional Differential Equations with Small Principal Terms (M. Gil).- Optimal Algorithms for Binary, Sparse, and L1-Norm Principal Component Analysis (G.N. Karystinos).- Sampling and Rational Interpolation for Non-Band-Limited Signals (B. Kiraly, M. Pap, A. Pilgermajer).- An Interior Point Recurrent Neural Network for Convex Optimization Problems (P.T. Krasopoulos, N.G. Maratos).- Location Methods in Experimental Design (L. Mallozzi, E. D'Amato, E. Daniele).- Business Cycle Convergence: A Survey of Methods and Models (Th. Papadimitriou, P. Gogas, G. Sarantis).- Exotic PDEs (A Prastaro).- Contraction Maps in Ordered Metrical Structures (M. Turinici).- An Introduction to Hyperbolic Barycentric Coordinates and Their Applications (A.A. Ungar).