Most texts on electromagnetic theory follow the classical approach of steady state solutions of Maxwell's equations. In Interstellar Propagation of Electromagnetic Signals, the authors, H. Harmuth and K. Lukin, point out the deficiencies in Maxwell's theory and present an exciting new way of obtaining transient or signals solutions. This book can be used by researchers, graduate students and scientists in the areas of physics, astrophysics, astronomy and electromagnetic theory or electromagnetics.
Unlike direct problems related to the solution of differential equations, inverse problems are typically expressed by integral equations. These equations relate media parameters to parameters of a measured signal, or input parameters to output ones in various measurement systems. The solution of integral equations is, with few exceptions, an ill-posed problem, and additional a priori information about the exact solution should be used to solve such problems. The specific character of the a priori information determines various regularisation methods that are in use here to obtain an approximate solution: Tikhonov's method, statistical regularisation method, methods based on the use of additional equations or restrictions or of models with limited number of unknown parameters. The main point of this book is the study of convergence properties of each method and the wide application of numerical modelling that gives the accuracy of the solution in a chosen metric. It is an unaccustomed procedure for physicists, but, because there is no proportionality between data and solution errors in ill-posed problems, such approach is inevitable.
The purpose of the monography is to elaborate the concept of the development of inter-regional investment cooperation by identifying the trends and features of its impact on the economic growth potential of the macro-region. The monography consists of the introduction, three chapters, conclusion and applications, as well as a list of references. The first chapter substantiates theoretical approaches to the essence, conditions and factors of regional development and the content of interregional investment cooperation in the current socio-economic conditions, analyzes the features of institutional design and the mechanisms for regulating regional cooperation for economic growth and development purposes, taking into account the Russian and foreign experience on the example of the European Union. The second chapter, basing on the economic analysis, identifies the trends in the development of the regions of the Central Federal District of the Russian Federation in terms of emerging macro-regions. A model has been proposed to assess the extent of the region’s economy’s involvement in inter-regional relations, which would allow to determine the dependence of variables such as interregional exchange, investment and gross regional product. Using mathematical modeling tools, the impact of these factors on the growth of the gross regional product of the Central Federal District of Russia, as well as its two regions — Moscow and Belgorod region — was evaluated. The third chapter identifies the prospects for the development of inter-regional investment cooperation in the Central Black Earth macro-region of the Central Federal District of the Russian Federation. The concept of developing inter-regional investment cooperation in the macro-region within the framework of the creation of a network of territories ahead of socio-economic development (PSEDA) has been developed. The mechanism of inter-regional investment cooperation in the framework of the creation and development of the territories ahead of socio-economic development (PSEDA) has been adapted in order to form the points of economic growth in the macro-region. The main text of the monography is laid out on 234 pages and is illustrated with 21 drawings and 40 tables. The monography contains 4 applications. The references list includes 144 units.
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