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Numerical Methods for the Solution of Ill-Posed Problems
Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Regularization of Inverse Problems
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
Magnetotellurics in the Context of the Theory of Ill-posed Problems
This volume serves as an introduction to modern magnetotellurics originating with the pioneering work of Tikhonov and Cagniard. It presents a comprehensive summary of theoretical and methodological aspects of magnetotellurics. It provides a bridge between textbooks on electrical prospecting and numerous papers on magnetotelluric methods scattered among various geophysical journals and collections. The book has been written in the terms of the theory of ill-posed problems and contains a special chapter encouraging readers to master the elements of this theory that defines the philosophy of the physical experiment. The book thus offers the connected and consistent account of the principles of ...
Advances in Geochemistry, Analytical Chemistry, and Planetary Sciences
This book presents 41 selected articles written by leading researchers from the Vernadsky Institute of Geochemistry and Analytical Chemistry, part of the Russian Academy of Sciences. The articles are grouped by the following topics: (1) Geochemistry, (2) Meteoritics, Cosmochemistry, Lunar and Planetary Sciences, (3) Biogeochemistry and Ecology, and (4) Analytical Chemistry, Radiochemistry, and Radioecology. The articles present recent experimental data, theoretical investigations, critical reviews, the results of computer modeling in the above-mentioned fields. Intended to provide a scientific “snapshot” of the institute, the book also includes content on its history, main scientific achievements and current goals, together with detailed descriptions of its 25 laboratories and three museums so as to promote new international collaborations. Given its scope, the book will be of interest to all scientists and graduate students working in the areas of geochemistry, analytical chemistry and radiochemistry, earth and environmental sciences, biogeosciences, meteoritics and planetary science, and to those seeking new collaboration opportunities in these areas in Russia.
Comprehensive Electrocardiology
New edition of the classic complete reference book for cardiologists and trainee cardiologists on the theory and practice of electrocardiography, one of the key modalities used for evaluating cardiology patients and deciding on appropriate management strategies.
Written with the Bayonet
Focusing on a wide range of poetry written between 1941 and 1945, this work explores Soviet poets' response to World War II. It also traces the influence of Stalinist culture, and departures from literary conventions established in the pre-war years. In a chronological survey, the poets' immediate reaction to the events of the war is placed in its historical and literary-political context.
The Writer in Petrograd and the House of Arts
Founded by Maksim Gorky and Kornei Chukovsky in 1919 and disbanded in 1922, the Petrograd House of Arts occupied a crucial moment in Russia's cultural history. By chronicling the rise and fall of this literary landmark, this book conveys in greater depth and detail than ever before a significant but little studied period in Soviet literature. Poised between Russian culture's past and her Soviet future, between pre- and post-Revolutionary generations, this once lavish private home on the Nevsky Prospekt housed as many as fifty-six poets, novelists, critics, and artists at one time, during a period of great social and political turbulence. And as such, Hickey contends, the House of Arts served...
Biomedical EPR - Part A: Free Radicals, Metals, Medicine and Physiology
Biomedical EPR – Part A focuses on applications of EPR spectroscopy in the areas of free radicals, metals, medicine, and physiology. The book celebrates the 70th birthday of Prof. James S. Hyde, Medical College of Wisconsin, and his contributions to this field. Chapters are written to provide introductory material for new-comers to the field which lead into up-to-date reviews that provide perspective on the wide range of questions that can be addressed by EPR. Key Features: Free Radicals in Medicine Radicals in vivo and in Model Systems, and their Study by Spin Trapping In vivo EPR, including Oximetry and Imaging Time Domain EPR at Radio Frequencies EPR of Copper Complexes: Motion and Frequency Dependence Time Domain EPR and Electron Spin Echo Envelope Modulation
