Download or read book Inverse Problems of Wave Processes Ation written by A. S. Blagoveščenskij and published by VSP. This book was released on 2001 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the "Inverse and Ill-Posed Problems Series studies dynamical inverse problems, i.e. such problems whose data are the values of wave fields. The monograph deals with the problem of determination of one or more coefficients of a hyperbolic equation or a system of hyperbolic equations. The desired coefficients are functions of point. Most attention is given to the case where the required functions depend only on one coordinate. The first chapter of the book deals mainly with methods of solution of one-dimensional inverse problems. The second chapter focuses on scalar inverse problems of wave propagation in a layered medium. In the final chapter inverse problems for elasticity equations in stratified media and acoustic equations for moving media are given.This monograph will be of value and interest to researchers in the fields of mathematical physics, geophysics, acoustics, elasticity theory, and electrodynamics.
Download or read book One Dimensional Inverse Problems of Mathematical Physics written by Mikhail Mikhaĭlovich Lavrentʹev and published by American Mathematical Soc.. This book was released on 1986 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monograph that deals with the inverse problems of determining a variable coefficient and right side for hyperbolic and parabolic equations on the basis of known solutions at fixed points of space for all times.
Download or read book Inverse Source Problems written by Victor Isakov and published by American Mathematical Soc.. This book was released on 1990 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: A careful exposition of a research field of current interest. This includes a brief survey of the subject and an introduction to recent developments and unsolved problems.
Download or read book Inverse Problems of Mathematical Physics written by Mikhail M. Lavrent'ev and published by Walter de Gruyter. This book was released on 2012-05-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
Download or read book Inverse Problems and Inverse Scattering of Plane Waves written by D.N. Roy and published by Academic Press. This book was released on 2001-10-04 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter.Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.
Download or read book Inverse Problems in Engineering Mechanics written by Masataka Tanaka and published by Elsevier. This book was released on 1998-11-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures.Seventy-two papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic non-destructive testing, elastodynamic inverse problems, thermal inverse problems, and other engineering applications.
Download or read book Direct and Inverse Problems written by Boris N. Zakhariev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid progress in quantum theory brings us new important results which are often not immediately clear to all who need them. But fortunately, this is also followed by simplifications and unifications of our previous concepts. The inverse problem method ("The most beautiful idea of the XX-th century" - Zakharov et aI., 1980) has just both these aspects. It is rather astonishing that it took 50 years after the foundation of quantum mechanics for the creation of the "pictures" showing the direct connection of obser vables with interactions. Recently, illustrations of this type began to appear in the literature (e. g., how potentials are deformed with thc shift of one energy level or change of some resonance reduced width). Although they are transparent to those studying the quantum world and can be included within the necessary elements of quantum literacy, they are still largely unknown even to many specialists. For the first time, the most interesting of these pictures enriching our quantum intuition are col lected here and placed at your disposal. The readers of this monograph have the advantage of getting the latest information which became available after the publication of the Russian edition. It has been incor porated here in the simplest presentation possible. For example, new sections con cerning exactly solvable models, including the multi-channel, multi-dimensional ones and with time dependent potentials have been added. The first attempts in solving the three-body inverse problem are also mentioned.
Download or read book Inverse Methods in Action written by Pierre C. Sabatier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique (con tract GR 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I will not try to refer to them all here (the reader will be easily convinced by reading the Table of Contents). My comments at the conference are summarized by the short scientific introduction at the beginning of the volume.
Download or read book Ill posed Problems of Mathematical Physics and Analysis written by Mikhail Mikha_lovich Lavrent_ev and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical formulations leading to ill-posed problems Basic concepts of the theory of ill-posed problems Analytic continuation Boundary value problems for differential equations Volterra equations Integral geometry Multidimensional inverse problems for linear differential equations
Download or read book Stress Vibration and Wave Analysis in Aerospace Composites written by Victor Giurgiutiu and published by Academic Press. This book was released on 2022-06-16 with total page 947 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stress, Vibration, and Wave Analysis in Aerospace Composites: SHM and NDE Applications presents a unified approach to studying and understanding stress, vibrations and waves in composite materials used in aerospace applications. Combining topics that are typically found across an array of various sources, the book starts by looking at the properties of various composite materials, progresses to coverage of an analysis of stress, vibration and waves and then concludes with a discussion of various structural health monitoring (SHM) and nondestructive evaluation (NDE) techniques and applications based on the analysis developed earlier in the book. Every chapter of the book contains a variety of worked-out examples to illustrate and tie together underlying theory and specific applications. The MATLAB code used to generate these examples is available on the book's companion website, as are solution documents and additional MATLAB code for problems and exercises featured in each chapter. - Presents a comprehensive treatment of aerospace composites, starting with composite material properties and then covering an analysis of stress, vibration and waves, and culminating with SHM and NDE applications - Provides an understanding of the use and application of stress, vibration and waves to detect composite damage and monitor growth - Features an array of worked-out examples, problems and exercises - Includes access to a companion website that features MATLAB codes for worked-out examples, along with problems, exercises and their solutions
Download or read book Theory and Practice of High Resolution Seismic HRS Geo Technology Application written by Vladimir L. Trofimov and published by Springer Nature. This book was released on 2024-03-08 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book outlines the scientific, methodological and practical foundations for applying High Resolution Seismic HRS-Geo Technology in order to build detailed 2D and 3D seismic acoustic models in the form of acoustic impedances (AI) and reflection coefficients (RC) and the most important geological indicators. The monograph is a continuation of the book by the same authors "Oil and Gas Reservoir Prospecting and Exploration: High-Resolution Seismic HRS techniques and technology". Particular attention is paid to improving the process of searching for AI and RC models using the vector of objective functions, in which various types of residuals between real and model data are iteratively calculated. The well-known criteria for predicting the oil and gas potential of productive deposits from the standpoint of the system analysis principles and the set of geological indicators found from the HRS data are analyzed. The features of solving the main seismogeological problems using HRS-Geo Technology modules are shown, illustrated by numerous examples, and using a special (optimal) processing graph and a set of additional seismic record regularization procedures that provide maximum detail of high-resolution seismic data. The book is meant for scientists and specialists involved in in-depth complex geological interpretation of seismic data in the search and exploration of oil and gas deposits, as well as students of geophysical and geological specialties, graduate students of these specializations and developers.
Download or read book Practical Inverse Analysis in Engineering written by David M. Trujillo and published by CRC Press. This book was released on 1997-07-23 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering that will become even more significant to engineers and scientists - combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models. The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data - with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is also discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL programming software lets readers try the methods presented in the text.
Download or read book Electromagnetic and Acoustic Wave Tomography written by Nathan Blaunstein and published by CRC Press. This book was released on 2018-06-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the development of radio-wave tomography methods as a means of remote non-destructive testing, diagnostics of the internal structure of semi-transparent media, and reconstruction of the shapes of opaque objects based on multi-angle sounding. It describes physical-mathematical models of systems designed to reconstruct images of hidden objects, based on tomographic processing of multi-angle remote measurements of scattered radio and acoustic (ultrasonic) wave radiation.
Download or read book Applications of Data Assimilation and Inverse Problems in the Earth Sciences written by Alik Ismail-Zadeh and published by Cambridge University Press. This book was released on 2023-06-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many contemporary problems within the Earth sciences are complex, and require an interdisciplinary approach. This book provides a comprehensive reference on data assimilation and inverse problems, as well as their applications across a broad range of geophysical disciplines. With contributions from world leading researchers, it covers basic knowledge about geophysical inversions and data assimilation and discusses a range of important research issues and applications in atmospheric and cryospheric sciences, hydrology, geochronology, geodesy, geodynamics, geomagnetism, gravity, near-Earth electron radiation, seismology, and volcanology. Highlighting the importance of research in data assimilation for understanding dynamical processes of the Earth and its space environment and for predictability, it summarizes relevant new advances in data assimilation and inverse problems related to different geophysical fields. Covering both theory and practical applications, it is an ideal reference for researchers and graduate students within the geosciences who are interested in inverse problems, data assimilation, predictability, and numerical methods.
Download or read book Surveys on Solution Methods for Inverse Problems written by David Colton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
Download or read book IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains written by Christian Miehe and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The steady increase in computational power induces an equally steady increase in the complexity of the engineering models and associated computer codes. This particularly affects the modeling of the mechanical response of materials. Material behavior is nowadays modeled in the strongly nonlinear range by tak ing into account finite strains, complex hysteresis effects, fracture phenomena and multiscale features. Progress in this field is of fundamental importance for many engineering disciplines, especially those concerned with material testing, safety, reliability and serviceability analyses of engineering structures. In recent years many important achievements have been made in the field of the theoretical formulation, the mathematical analysis and the numerical im plementation of deformation processes in solids. Computational methods and simulation techniques today play a central role in advancing the understanding of complex material behavior. Research in the field of "ComputationalMechan ics of Materials" is concerned with the development of mathematical models and numerical solution techniques for the simulation of material response. It is a very broad interdisciplinary field of science with inputs from traditional fields such as Applied Mechanics, Applied Mathematics, Materials Science, Solid State Physics and Information Technology. The intention of the IUTAM Symposium "Computational Mechanics of Solid Materials at Large Strains", held at the University of Stuttgart, Germany, from August 20-24, 200I, was to give a state of the art and a survey about recent developments in this field and to create perspectives for future research trends.
Download or read book Universality of Nonclassical Nonlinearity written by Pier Paolo Delsanto and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the results of two major international research projects on phenomenology, theory and applications of Nonclassical Nonlinearity. It conveys concepts, experimental techniques and applications which were previously found in specialized journals. It also allows for an interdisciplinary audience to better understand the range of practical applications, and is timely and interesting to both researchers and professionals.
