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# Parameter Estimation And Inverse Problems

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**📒Parameter Estimation And Inverse Problems ✍ Richard C. Aster**

**Parameter Estimation and Inverse Problems**

✏Author :

**Richard C. Aster**

✏Publisher :

**Academic Press**

✏Release Date :

**2013**

✏Pages :

**360**

✏ISBN :

**9780123850485**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Parameter Estimation and Inverse Problems Book Summary :** Parameter Estimation and Inverse Problems, Second Edition provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, Second Edition introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject. Includes appendices for review of needed concepts in linear, statistics, and vector calculus. Accessible to students and professionals without a highly specialized mathematical background.

**📒Inverse Problem Theory And Methods For Model Parameter Estimation ✍ Albert Tarantola**

**Inverse Problem Theory and Methods for Model Parameter Estimation**

✏Author :

**Albert Tarantola**

✏Publisher :

**SIAM**

✏Release Date :

**2005-01-01**

✏Pages :

**342**

✏ISBN :

**9780898715729**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Problem Theory and Methods for Model Parameter Estimation Book Summary :** This book proposes a general approach to the basic difficulties appearing in the resolution of inverse problems.

**📒Inverse Problem Theory ✍ A. Tarantola**

**Inverse Problem Theory**

✏Author :

**A. Tarantola**

✏Publisher :

**Elsevier**

✏Release Date :

**2013-10-14**

✏Pages :

**644**

✏ISBN :

**9780444599674**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Problem Theory Book Summary :** Inverse Problem Theory is written for physicists, geophysicists and all scientists facing the problem of quantitative interpretation of experimental data. Although it contains a lot of mathematics, it is not intended as a mathematical book, but rather tries to explain how a method of acquisition of information can be applied to the actual world. The book provides a comprehensive, up-to-date description of the methods to be used for fitting experimental data, or to estimate model parameters, and to unify these methods into the Inverse Problem Theory. The first part of the book deals with discrete problems and describes Maximum likelihood, Monte Carlo, Least squares, and Least absolute values methods. The second part deals with inverse problems involving functions. The book is almost completely self-contained, with all important concepts carefully introduced. Although theoretical concepts are strongly emphasized, the author has ensured that all the useful formulas are listed, with many special cases included. The book will thus serve equally well as a reference manual for researchers needing to refresh their memories on a given algorithm, or as a textbook in a course for undergraduate or graduate students.

**📒Introduction To Inverse Problems In Imaging ✍ M. Bertero**

**Introduction to Inverse Problems in Imaging**

✏Author :

**M. Bertero**

✏Publisher :

**CRC Press**

✏Release Date :

**2020-08-30**

✏Pages :

**364**

✏ISBN :

**1439822069**

✏Available Language :

**English, Spanish, And French**

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**✏Introduction to Inverse Problems in Imaging Book Summary :** This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

**📒Time Series Analysis And Inverse Theory For Geophysicists ✍ David Gubbins**

**Time Series Analysis and Inverse Theory for Geophysicists**

✏Author :

**David Gubbins**

✏Publisher :

**Cambridge University Press**

✏Release Date :

**2004-03-18**

✏Pages :

**255**

✏ISBN :

**0521525691**

✏Available Language :

**English, Spanish, And French**

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**✏Time Series Analysis and Inverse Theory for Geophysicists Book Summary :** The first textbook covering spectral analysis and geophysical data inversion for undergraduate and graduate students.

**📒Computational Methods For Inverse Problems ✍ Curtis R. Vogel**

**Computational Methods for Inverse Problems**

✏Author :

**Curtis R. Vogel**

✏Publisher :

**SIAM**

✏Release Date :

**2002**

✏Pages :

**183**

✏ISBN :

**9780898717570**

✏Available Language :

**English, Spanish, And French**

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**✏Computational Methods for Inverse Problems Book Summary :** Provides a basic understanding of both the underlying mathematics and the computational methods used to solve inverse problems.

**📒Inverse Problems In Engineering ✍ Nicholas Zabaras**

**Inverse Problems in Engineering**

✏Author :

**Nicholas Zabaras**

✏Publisher :

**Amer Society of Mechanical**

✏Release Date :

**1993**

✏Pages :

**369**

✏ISBN :

**STANFORD:36105009246088**

✏Available Language :

**English, Spanish, And French**

**Click Here To Get Book**

**✏Inverse Problems in Engineering Book Summary :**

**📒Inverse Problems Design And Optimization Vol 2 ✍ Marcelo J. Colaço**

**Inverse Problems Design and Optimization vol 2**

✏Author :

**Marcelo J. Colaço**

✏Publisher :

**Editora E-papers**

✏Release Date :

**2005**

✏Pages :

**354**

✏ISBN :

**9788576500308**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Problems Design and Optimization vol 2 Book Summary :** This book contains the papers presented in the Inverse Problems, Design and Optimization (IPDO) Symposium, held in Rio de Janeiro, Brazil, during March 17-19, 2004

**Modeling and Inverse Problems in the Presence of Uncertainty**

✏Author :

**H. T. Banks**

✏Publisher :

**CRC Press**

✏Release Date :

**2014-04-01**

✏Pages :

**405**

✏ISBN :

**9781482206432**

✏Available Language :

**English, Spanish, And French**

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**✏Modeling and Inverse Problems in the Presence of Uncertainty Book Summary :** Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—including the authors’ own substantial projects—on uncertainty propagation and quantification. It covers two sources of uncertainty: where uncertainty is present primarily due to measurement errors and where uncertainty is present due to the modeling formulation itself. After a useful review of relevant probability and statistical concepts, the book summarizes mathematical and statistical aspects of inverse problem methodology, including ordinary, weighted, and generalized least-squares formulations. It then discusses asymptotic theories, bootstrapping, and issues related to the evaluation of correctness of assumed form of statistical models. The authors go on to present methods for evaluating and comparing the validity of appropriateness of a collection of models for describing a given data set, including statistically based model selection and comparison techniques. They also explore recent results on the estimation of probability distributions when they are embedded in complex mathematical models and only aggregate (not individual) data are available. In addition, they briefly discuss the optimal design of experiments in support of inverse problems for given models. The book concludes with a focus on uncertainty in model formulation itself, covering the general relationship of differential equations driven by white noise and the ones driven by colored noise in terms of their resulting probability density functions. It also deals with questions related to the appropriateness of discrete versus continuum models in transitions from small to large numbers of individuals. With many examples throughout addressing problems in physics, biology, and other areas, this book is intended for applied mathematicians interested in deterministic and/or stochastic models and their interactions. It is also suitable for scientists in biology, medicine, engineering, and physics working on basic modeling and inverse problems, uncertainty in modeling, propagation of uncertainty, and statistical modeling.

**📒Regularization Of Inverse Problems ✍ Heinz Werner Engl**

**Regularization of Inverse Problems**

✏Author :

**Heinz Werner Engl**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2000-03-31**

✏Pages :

**322**

✏ISBN :

**0792361407**

✏Available Language :

**English, Spanish, And French**

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**✏Regularization of Inverse Problems Book Summary :** 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.

**📒Carleman Estimates And Applications To Inverse Problems For Hyperbolic Systems ✍ Mourad Bellassoued**

**Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems**

✏Author :

**Mourad Bellassoued**

✏Publisher :

**Springer**

✏Release Date :

**2017-11-23**

✏Pages :

**260**

✏ISBN :

**9784431566007**

✏Available Language :

**English, Spanish, And French**

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**✏Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems Book Summary :** This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.

**📒Inverse Engineering Handbook ✍ Keith A. Woodbury**

**Inverse Engineering Handbook**

✏Author :

**Keith A. Woodbury**

✏Publisher :

**CRC Press**

✏Release Date :

**2002-09-25**

✏Pages :

**480**

✏ISBN :

**9781420041613**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Engineering Handbook Book Summary :** Inverse problems have been the focus of a growing number of research efforts over the last 40 years-and rightly so. The ability to determine a "cause" from an observed "effect" is a powerful one. Researchers now have at their disposal a variety of techniques for solving inverse problems, techniques that go well beyond those useful for relatively simple parameter estimation problems. The question is, where can one find a single, comprehensive resource that details these methods? The answer is the Inverse Engineering Handbook. Leading experts in inverse problems have joined forces to produce the definitive reference that allows readers to understand, implement, and benefit from a variety of problem-solving techniques. Each chapter details a method developed or refined by its contributor, who provides clear explanations, examples, and in many cases, software algorithms. The presentation begins with methods for parameter estimation, which build a bridge to boundary function estimation problems. The techniques addressed include sequential function estimation, mollification, space marching techniques, and adjoint, Monte Carlo, and gradient-based methods. Discussions also cover important experimental aspects, including experiment design and the effects of uncertain parameters. While many of the examples presented focus on heat transfer, the techniques discussed are applicable to a wide range of inverse problems. Anyone interested in inverse problems, regardless of their specialty, will find the Inverse Engineering Handbook to be a unique and invaluable compendium of up-to-date techniques.

**📒A Unified Framework For Approximation In Inverse Problems For Distributed Parameter Systems ✍ H. T. Banks**

**A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems**

✏Author :

**H. T. Banks**

✏Publisher :

✏Release Date :

**1988**

✏Pages :

**34**

✏ISBN :

**NASA:31769000678923**

✏Available Language :

**English, Spanish, And French**

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**✏A Unified Framework for Approximation in Inverse Problems for Distributed Parameter Systems Book Summary :** A theoretical framework can be used to treat approximation techniques for very general classes of parameter estimation problems involving distributed systems that are either first or second order in time. Using the approach developed, one can obtain both convergence and stability (continuous dependence of parameter estimates with respect to the observations) under very weak regularity and compactness assumptions on the set of admissible parameters. This unified theory can be used for many problems found in the recent literature and in many cases offers significant improvements to existing results. Keywords: Approximation; Parameter estimation; Partial differential equations.

**📒Inverse Problems And Imaging ✍ Luis L. Bonilla**

**Inverse Problems and Imaging**

✏Author :

**Luis L. Bonilla**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2008-04-17**

✏Pages :

**192**

✏ISBN :

**9783540785453**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Problems and Imaging Book Summary :** In the CIME Summer School on Imaging, experts in mathematical techniques and applications presented useful introductions to many aspects of the field. This volume contains updated lectures as well as additional contributions on other related topics.

**📒Nonlinear Least Squares For Inverse Problems ✍ Guy Chavent**

**Nonlinear Least Squares for Inverse Problems**

✏Author :

**Guy Chavent**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2010-03-14**

✏Pages :

**360**

✏ISBN :

**9048127858**

✏Available Language :

**English, Spanish, And French**

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**✏Nonlinear Least Squares for Inverse Problems Book Summary :** The domain of inverse problems has experienced a rapid expansion, driven by the increase in computing power and the progress in numerical modeling. When I started working on this domain years ago, I became somehow fr- tratedtoseethatmyfriendsworkingonmodelingwhereproducingexistence, uniqueness, and stability results for the solution of their equations, but that I was most of the time limited, because of the nonlinearity of the problem, to provethatmyleastsquaresobjectivefunctionwasdi?erentiable....Butwith my experience growing, I became convinced that, after the inverse problem has been properly trimmed, the ?nal least squares problem, the one solved on the computer, should be Quadratically (Q)-wellposed,thatis,both we- posed and optimizable: optimizability ensures that a global minimizer of the least squares function can actually be found using e?cient local optimization algorithms, and wellposedness that this minimizer is stable with respect to perturbation of the data. But the vast majority of inverse problems are nonlinear, and the clas- cal mathematical tools available for their analysis fail to bring answers to these crucial questions: for example, compactness will ensure existence, but provides no uniqueness results, and brings no information on the presence or absenceofparasiticlocalminimaorstationarypoints....

**📒Inverse And Ill Posed Problems ✍ Heinz W. Engl**

**Inverse and Ill Posed Problems**

✏Author :

**Heinz W. Engl**

✏Publisher :

**Elsevier**

✏Release Date :

**2014-05-10**

✏Pages :

**580**

✏ISBN :

**9781483272658**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse and Ill Posed Problems Book Summary :** Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor of calculus, statistics, and advanced mathematics.

**📒A Functional Analysis Framework For Modeling Estimation And Control In Science And Engineering ✍ H.T. Banks**

**A Functional Analysis Framework for Modeling Estimation and Control in Science and Engineering**

✏Author :

**H.T. Banks**

✏Publisher :

**CRC Press**

✏Release Date :

**2012-06-18**

✏Pages :

**280**

✏ISBN :

**9781439880845**

✏Available Language :

**English, Spanish, And French**

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**✏A Functional Analysis Framework for Modeling Estimation and Control in Science and Engineering Book Summary :** A Modern Framework Based on Time-Tested MaterialA Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional

**Mathematical and Experimental Modeling of Physical and Biological Processes**

✏Author :

**H.T. Banks**

✏Publisher :

**CRC Press**

✏Release Date :

**2009-01-12**

✏Pages :

**298**

✏ISBN :

**1420073389**

✏Available Language :

**English, Spanish, And French**

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**✏Mathematical and Experimental Modeling of Physical and Biological Processes Book Summary :** Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

**📒Conference On Inverse Scattering Theory And Application ✍ J. Bee Bednar**

**Conference on Inverse Scattering Theory and Application**

✏Author :

**J. Bee Bednar**

✏Publisher :

**SIAM**

✏Release Date :

**1983-01-01**

✏Pages :

**290**

✏ISBN :

**0898711908**

✏Available Language :

**English, Spanish, And French**

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**✏Conference on Inverse Scattering Theory and Application Book Summary :**

**Desenvolvimento Economico Local No Estado**

✏Author :

**Fauré**

✏Publisher :

**Editora E-papers**

✏Release Date :

✏Pages :

✏ISBN :

**9788576500292**

✏Available Language :

**English, Spanish, And French**

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**✏Desenvolvimento Economico Local No Estado Book Summary :** As idéias e análises contidas neste livro foram desenvolvidas durante três anos de estudos sobre o tecido empresarial, os projetos de apoio e as instituições municipais em vários sítios do estado do Rio de Janeiro, Brasil, com o objetivo de contribuir para um melhor entendimento teórico do tema desenvolvimento econômico local.

**📒Inverse Problems In Engineering Mechanics ✍ Masataka Tanaka**

**Inverse Problems in Engineering Mechanics**

✏Author :

**Masataka Tanaka**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2013-03-08**

✏Pages :

**564**

✏ISBN :

**9783642524394**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Problems in Engineering Mechanics Book Summary :** Inverse problems occur in a wide variey of fields. In general, the inverse problem can be defined as one where one should estimate the cause from the result, while the direct problem is concerned with how to obtain the result from the cause. The aim of this symposium was to gather scientists and researchers in engineering mechanics concerned with inverse problems in order to exchange research result and develop computational and experimentalapproaches to solve inverse problems. The contributions in this volume cover the following subjects: mathematical and computational aspects of inverse problems, parameter or system identification, shape determination, sensitivity analysis, optimization, material property characterization, ultrasonic nondestructive testing, elastodynamic inverse problems, thermal inverse problems, and other miscellaneous engineering applications.

**📒Modeling In The Neurosciences ✍ R.R. Poznanski**

**Modeling in the Neurosciences**

✏Author :

**R.R. Poznanski**

✏Publisher :

**CRC Press**

✏Release Date :

**1999-02-19**

✏Pages :

**528**

✏ISBN :

**9057022842**

✏Available Language :

**English, Spanish, And French**

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**✏Modeling in the Neurosciences Book Summary :** With contributions from more than 40 renowned experts, Modeling in the Neurosciences: From Ionic Channels to Neural Networks is essential for those interested in neuronal modeling and quantitative neiroscience. Focusing on new mathematical and computer models, techniques and methods, this monograph represents a cohesive and comprehensive treatment of various aspects of the neurosciences from the biophysical, cellular and netwrok levels. Many state-of-the-art examples are presented as to how mathematical and computer modeling can contribute to the understanding of mechanisms and systems in the neurosciences. Each chapter also includes suggestions of possible refinements for future modeling in this rapidly changing and expanding field. This book will benefit and inspire the advanced modeler, and give the beginner sufficient confidence to model a wide selection of neuronal systems at the biophysical, cellular and network levels.

**📒An Introduction To The Mathematical Theory Of Inverse Problems ✍ Andreas Kirsch**

**An Introduction to the Mathematical Theory of Inverse Problems**

✏Author :

**Andreas Kirsch**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**1996-09-26**

✏Pages :

**300**

✏ISBN :

**038794530X**

✏Available Language :

**English, Spanish, And French**

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**✏An Introduction to the Mathematical Theory of Inverse Problems Book Summary :** Following Keller [119] we call two problems inverse to each other if the for mulation of each of them requires full or partial knowledge of the other. By this definition, it is obviously arbitrary which of the two problems we call the direct and which we call the inverse problem. But usually, one of the problems has been studied earlier and, perhaps, in more detail. This one is usually called the direct problem, whereas the other is the inverse problem. However, there is often another, more important difference between these two problems. Hadamard (see [91]) introduced the concept of a well-posed problem, originating from the philosophy that the mathematical model of a physical problem has to have the properties of uniqueness, existence, and stability of the solution. If one of the properties fails to hold, he called the problem ill-posed. It turns out that many interesting and important inverse in science lead to ill-posed problems, while the corresponding di problems rect problems are well-posed. Often, existence and uniqueness can be forced by enlarging or reducing the solution space (the space of "models"). For restoring stability, however, one has to change the topology of the spaces, which is in many cases impossible because of the presence of measurement errors. At first glance, it seems to be impossible to compute the solution of a problem numerically if the solution of the problem does not depend continuously on the data, i. e. , for the case of ill-posed problems.

**📒Multiple Point Geostatistics ✍ Professor Gregoire Mariethoz**

**Multiple point Geostatistics**

✏Author :

**Professor Gregoire Mariethoz**

✏Publisher :

**John Wiley & Sons**

✏Release Date :

**2014-10-16**

✏Pages :

**376**

✏ISBN :

**9781118662939**

✏Available Language :

**English, Spanish, And French**

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**✏Multiple point Geostatistics Book Summary :** This book provides a comprehensive introduction to multiple-point geostatistics, where spatial continuity is described using training images. Multiple-point geostatistics aims at bridging the gap between physical modelling/realism and spatio-temporal stochastic modelling. The book provides an overview of this new field in three parts. Part I presents a conceptual comparison between traditional random function theory and stochastic modelling based on training images, where random function theory is not always used. Part II covers in detail various algorithms and methodologies starting from basic building blocks in statistical science and computer science. Concepts such as non-stationary and multi-variate modeling, consistency between data and model, the construction of training images and inverse modelling are treated. Part III covers three example application areas, namely, reservoir modelling, mineral resources modelling and climate model downscaling. This book will be an invaluable reference for students, researchers and practitioners of all areas of the Earth Sciences where forecasting based on spatio-temporal data is performed.

**📒Spectral Finite Element Method ✍ Srinivasan Gopalakrishnan**

**Spectral Finite Element Method**

✏Author :

**Srinivasan Gopalakrishnan**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2007-12-05**

✏Pages :

**440**

✏ISBN :

**9781846283567**

✏Available Language :

**English, Spanish, And French**

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**✏Spectral Finite Element Method Book Summary :** This book is the first to apply the Spectral Finite Element Method (SFEM) to inhomogeneous and anisotropic structures in a unified and systematic manner. Readers will gain understanding of how to formulate Spectral Finite Element; learn about wave behaviour in inhomogeneous and anisotropic media; and, be able to design some diagnostic tools for monitoring the health of a structure. Tables, figures and graphs support the theory and case studies are included.

**📒Icm 90 Satellite Conference Proceedings ✍ Kantaro Hayakawa**

**ICM 90 Satellite Conference Proceedings**

✏Author :

**Kantaro Hayakawa**

✏Publisher :

**Springer**

✏Release Date :

**1991-11-01**

✏Pages :

**156**

✏ISBN :

**4431700870**

✏Available Language :

**English, Spanish, And French**

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**✏ICM 90 Satellite Conference Proceedings Book Summary :** Contents: Regularization Method: H.W. Engl, R.S. Anderssen: The Role of Linear Functionals in Improving Convergence Rates for Parameter Identification via Tikhonov Regularization. C.W. Groetsch: Some Integral Equations of the First Kind in Mechanics and Regularization of Ill-posed Linear Operator Equations. B. Hofmann: Descriptive Regularization for Some Ill-posed Integral Equations. T. Kitagawa: Methods in Estimating the Optimal Regularization Parameter.- Inverse Problems Related with the Scattering: R. Kress, A. Zinn: Three Dimensional Reconstructions from Near-field Data in Obstacle Scattering. S. Kubo: Requirements for Uniqueness of Crack Identification from Electric Potential Distributions. N. Nishimura: Regularized Integral Equations for Crack Shape Determination Prob- lems. K. Ohnaka: Identification of the External Force of Wave Equations from Noisy Observations. K. Ohtsuka: Variational Derivative along Crack Extension of Hypersingular Operators. K. Onishi: Numerical Identification in Inverse Scattering Problems. H. Soga: Representation of the Scattering Kernel and Singularities of that Kernel.- Synthesis and Optimization: H.T. Banks, J.G. Wade: A Convergence Framework for Approximation Methods for DPS Estimation Problems. S. Nakagiri, K. Suzuki: Shift Synthesis of Structural Responses Based on Generalized Inverse Formulation. S.I. Nakagiri: Identifiability of Coefficient Matrices, Time Delays and Initial Functions of Functional Differential Equations. S. Omatu: Parameter Identification for a Distributed Parameter System with Application to Air Pollution Estimation. A. Sasamoto, H. Imai, H. Kawarada: A Practical Method for an Ill-Conditioned Optimal Shape Design of a Vessel in Which Plasma is Confined.- Mathematical Theory: C. Högfors, S.I. Andersson: Application of Inverse Spectral Geometry to Elastodynamics. G. Nakamura, G. Uhlmann: Uniqueness for Identifying Lame Moduli by Dirichlet to Neumann Map. A.G. Ramm: Property C and Inverse Problems. Z. Sun, G. Uhlmann: Generic Uniqueness for Determined Inverse Problem in 2 Dimensions.- Program.

**📒Inverse Heat Transfer ✍ M. Necat Ozisik**

**Inverse Heat Transfer**

✏Author :

**M. Necat Ozisik**

✏Publisher :

**CRC Press**

✏Release Date :

**2000-04-01**

✏Pages :

**352**

✏ISBN :

**156032838X**

✏Available Language :

**English, Spanish, And French**

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**✏Inverse Heat Transfer Book Summary :** This book introduces the fundamental concepts of inverse heat transfer problems. It presents in detail the basic steps of four techniques of inverse heat transfer protocol, as a parameter estimation approach and as a function estimation approach. These techniques are then applied to the solution of the problems of practical engineering interest involving conduction, convection, and radiation. The text also introduces a formulation based on generalized coordinates for the solution of inverse heat conduction problems in two-dimensional regions.

**📒Statistical And Computational Inverse Problems ✍ Jari Kaipio**

**Statistical and Computational Inverse Problems**

✏Author :

**Jari Kaipio**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2006-03-30**

✏Pages :

**340**

✏ISBN :

**9780387271323**

✏Available Language :

**English, Spanish, And French**

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**✏Statistical and Computational Inverse Problems Book Summary :** This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applications such as limited angle tomography, image deblurring, electical impedance tomography, and biomagnetic inverse problems. Contains detailed examples throughout and includes a chapter on case studies where such methods have been implemented in biomedical engineering.

**📒Estimation Of The Dynamical Parameters Of The Calin Photosynthesis Cycle Optimization And Ill Conditioned Inverse Problems ✍ Jaime Milstein**

**Estimation of the Dynamical Parameters of the Calin Photosynthesis Cycle Optimization and Ill Conditioned Inverse Problems**

✏Author :

**Jaime Milstein**

✏Publisher :

✏Release Date :

**1975**

✏Pages :

**482**

✏ISBN :

**UCAL:C3480226**

✏Available Language :

**English, Spanish, And French**

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**✏Estimation of the Dynamical Parameters of the Calin Photosynthesis Cycle Optimization and Ill Conditioned Inverse Problems Book Summary :**

**📒Magnetic Particle Imaging ✍ Tobias Knopp**

**Magnetic Particle Imaging**

✏Author :

**Tobias Knopp**

✏Publisher :

**Springer Science & Business Media**

✏Release Date :

**2012-05-04**

✏Pages :

**204**

✏ISBN :

**9783642041990**

✏Available Language :

**English, Spanish, And French**

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**✏Magnetic Particle Imaging Book Summary :** This volume provides a comprehensive overview of recent developments in magnetic particle imaging (MPI), a novel imaging modality. Using various static and oscillating magnetic fields, and tracer materials made from iron oxide nanoparticles, MPI can perform background-free measurements of the particles’ local concentration. The method exploits the nonlinear remagnetization behavior of the particles and has the potential to surpass current methods for the detection of iron oxide in terms of sensitivity and spatiotemporal resolution. Starting from an introduction to the technology, the topics addressed include setting up an imaging device, assessment of image quality, development of new MPI tracer materials, and the first preclinical results. This is the first book to be published on magnetic particle imaging, and it will be an invaluable source of information for everyone with an interest in this exciting new modality.