Numerical Methods of Solving Ill-posed Problems of Dielectric Spectrometry PDF Download
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Author: Salavat Mudarisovich Usmanov
Publisher: Nova Publishers
ISBN: 9781590332429
Category : Mathematics
Languages : en
Pages : 174
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Book Description
Numerical Methods of Solving Ill-Posed Problems of Dielectric Spectrometry
Author: Salavat Mudarisovich Usmanov
Publisher: Nova Publishers
ISBN: 9781590332429
Category : Mathematics
Languages : en
Pages : 174
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Book Description
Numerical Methods of Solving Ill-Posed Problems of Dielectric Spectrometry
Author: Sergey I. Kabanikhin
Publisher: Walter de Gruyter
ISBN: 3110224011
Category : Mathematics
Languages : en
Pages : 476
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Book Description
The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathematical definition. In general, they can be described as the task of recovering a part of the data of a corresponding direct (well-posed) problem from information about its solution. Inverse problems were first encountered in practice and are mostly ill-posed. The urgent need for their solution, especially in geological exploration and medical diagnostics, has given powerful impetus to the development of the theory of ill-posed problems. Nowadays, the terms "inverse problem" and "ill-posed problem" are inextricably linked to each other. Inverse and ill-posed problems are currently attracting great interest. A vast literature is devoted to these problems, making it necessary to systematize the accumulated material. This book is the first small step in that direction. We propose a classification of inverse problems according to the type of equation, unknowns and additional information. We consider specific problems from a single position and indicate relationships between them. The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics. We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ill-posed problems for university students. The author's intention was to explain this complex material in the most accessible way possible. The monograph is aimed primarily at those who are just beginning to get to grips with inverse and ill-posed problems but we hope that it will be useful to anyone who is interested in the subject.
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ISBN:
Category : Bibliographical literature
Languages : en
Pages : 1088
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Book Description
Author: Astronomisches Rechen-Institut
Publisher: Springer Science & Business Media
ISBN: 3662123703
Category : Science
Languages : en
Pages : 1433
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Book Description
From the reviews: "Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundemental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ...The abstracts are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Review# "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine#
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Category : Polymerization
Languages : en
Pages : 434
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Book Description
Author: Larisa Beilina
Publisher: Springer
ISBN: 3319124994
Category : Mathematics
Languages : en
Pages : 169
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Book Description
This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques for the solution of inverse problems, with relevance to a range of fields including acoustics, electromagnetics, optics, medical imaging, and geophysics.
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Category : Aeronautics
Languages : en
Pages : 702
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Book Description
Author: Dénes Lörinczy
Publisher: Springer Science & Business Media
ISBN: 9781402022180
Category : Science
Languages : en
Pages : 368
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Book Description
The Nature of Biological Systems as Revealed by Thermal Methods is a guide for experiments using thermal methods. The Editor has used his many years of experience to create a unique resource that will enable others with a less mathematical background, to realize the beauty and power of this tool and to gain a better understanding of biological problems. Biological calorimetry (and of course thermal analysis) is of increasing interest and is not covered thoroughly in other resources. The methods presented are macroscopic, for the rather inhomogeneous material (micromethods are often not possible or not pertinent). This book will help beginners in the field of thermal analysis or calorimetry understand the principles of thermodynamics being applied to biological systems. Biological systems are highly organized and very complex. The water and the different types of weak interactions among the macromolecules make the interpretation of thermal events very difficult. This book includes examples how to handle such problems. The Nature of Biological Systems as Revealed by Thermal Methods is unique in that it: -has a broad spectrum, from molecules and biochemistry, tissues, and food, to whole organisms; -combines practical problems (food processing, quality control, thermal denaturation of proteins, plants and small insects, etc.) with concrete solutions and interpretation; -provides practical strategies and tools without "dry physics and mathematics"; -initiates the application of thermal methods in new fields (e.g. medicine); -forces the reader to go into more detail of thermodynamics and thermal techniques; -simplifies communication between biologists, medical doctors and experts of thermal analysis. The book is an invaluable resource for anyone interested in thermodynamics, including practising professionals applying thermal methods to biological problems; researchers and graduate students beginning work using thermal methods; and specialists of thermal analysis starting work on biological problems. In addition, this book will be a useful resource for libraries and institutes as the only book covering quantitative thermal analysis of biological systems.
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Category : Physics
Languages : en
Pages : 1074
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Book Description
Author: Christian Brosseau
Publisher: Springer Nature
ISBN: 3031379810
Category : Science
Languages : en
Pages : 304
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Book Description
This book covers the recently developed understanding of Electro-Mechano-Biology (EMB) in which the focus is primarily on the couplings between the electric and mechanical fields. The emphasis lies on the analytical and computational aspects of EMB at the cellular level. The book is divided into two parts. In the first part, the author starts by defining and discussing the relevant basic aspects of the electrical and mechanical properties of cell membranes. He provides an overview of some of the ways analytical modelling of cell membrane electrodeformation (ED) and electroporation (EP) appears in a variety of contexts as well as a contemporary account of recent developments in computational approaches that can feature in the theory initiative, particularly in its attempt to describe the cohort of activities currently underway. Intended to serve as an introductory text and aiming to facilitate the understanding of the field to non-experts, this part does not dwell on the set of topics, such as cellular mechanosensing and mechanotransduction, irreversible EP, and atomistic molecular dynamics modelling of membrane EP. The second (and larger) part of the book is devoted to a presentation of the necessary analytical and computational tools to illustrate the ideas behind EMB and illuminate physical insights. Brief notes on the history of EMB and its many applications describing the variety of ideas and approaches are also included. In this part, the background of the first principles and practical calculation methods are discussed to highlight aspects that cannot be found in a single volume.
