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Parameter Estimation and Inverse Problems

Parameter Estimation and Inverse Problems
A Book

by Richard C. Aster,Brian Borchers,Clifford H. Thurber

  • Publisher : Elsevier
  • Release : 2018-10-16
  • Pages : 404
  • ISBN : 0128134232
  • Language : En, Es, Fr & De
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Parameter Estimation and Inverse Problems, Third Edition, is structured around a course at New Mexico Tech and is designed to be accessible to typical graduate students in the physical sciences who do not have an extensive mathematical background. The book is complemented by a companion website that includes MATLAB codes that correspond to examples that are illustrated with simple, easy to follow problems that illuminate the details of particular numerical methods. Updates to the new edition include more discussions of Laplacian smoothing, an expansion of basis function exercises, the addition of stochastic descent, an improved presentation of Fourier methods and exercises, and more. Features examples that are illustrated with simple, easy to follow problems that illuminate the details of a particular numerical method Includes an online instructor’s guide that helps professors teach and customize exercises and select homework problems Covers updated information on adjoint methods that are presented in an accessible manner

Inverse Problem Theory and Methods for Model Parameter Estimation

Inverse Problem Theory and Methods for Model Parameter Estimation
A Book

by Albert Tarantola

  • Publisher : SIAM
  • Release : 2005-01-01
  • Pages : 342
  • ISBN : 0898715725
  • Language : En, Es, Fr & De
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This book proposes a general approach to the basic difficulties appearing in the resolution of inverse problems.

Inverse Problems and Parameter Estimation

Inverse Problems and Parameter Estimation
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1998
  • Pages : 178
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Parameter Estimation and Inverse Problems for Reactive Transport Models in Bioirrigated Sediments

Parameter Estimation and Inverse Problems for Reactive Transport Models in Bioirrigated Sediments
A Book

by Donal L. McCormack

  • Publisher : Unknown Publisher
  • Release : 2020
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Inverse Problem Theory

Inverse Problem Theory
Methods for Data Fitting and Model Parameter Estimation

by A. Tarantola

  • Publisher : Elsevier
  • Release : 2013-10-14
  • Pages : 644
  • ISBN : 0444599673
  • Language : En, Es, Fr & De
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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.

Estimation Techniques for Distributed Parameter Systems

Estimation Techniques for Distributed Parameter Systems
A Book

by H.T. Banks,K. Kunisch

  • Publisher : Birkhäuser
  • Release : 2011-09-15
  • Pages : 316
  • ISBN : 9781461282181
  • Language : En, Es, Fr & De
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The research detailed in this monograph was originally motivated by our interest in control problems involving partial and delay differential equations. Our attempts to apply control theory techniques to such prob lems in several areas of science convinced us that in the need for better and more detailed models of distributed/ continuum processes in biology and mechanics lay a rich, interesting, and challenging class of fundamen tal questions. These questions, which involve science and mathematics, are typical of those arising in inverse or parameter estimation problems. Our efforts on inverse problems for distributed parameter systems, which are infinite dimensional in the most common realizations, began about seven years ago at a time when rapid advances in computing capabilities and availability held promise for significant progress in the development of a practically useful as well as theoretically sound methodology for such problems. Much of the research reported in our presentation was not begun when we outlined the plans for this monograph some years ago. By publishing this monograph now, when only a part of the originally intended topics are covered (see Chapter VII in this respect), we hope to stimulate the research and interest of others in an area of scientific en deavor which has exceeded even our optimistic expectations with respect to excitement, opportunity, and stimulation. The computer revolution alluded to above and the development of new codes allow one to solve rather routinely certain estimation problems that would have been out of the question ten years ago.

Inverse Problems in Diffusion Processes

Inverse Problems in Diffusion Processes
Proceedings of the GAMM-SIAM Symposium

by Heinz W. Engl,William Rundell

  • Publisher : SIAM
  • Release : 1995-01-01
  • Pages : 232
  • ISBN : 9780898713510
  • Language : En, Es, Fr & De
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This collection of expository papers encompasses both the theoretical and physical application side of inverse problems in diffusion processes.

Parameter Estimation at Regional Scale Through Solution of the Inverse Problem

Parameter Estimation at Regional Scale Through Solution of the Inverse Problem
A Book

by Ahmeda M. Salem

  • Publisher : Unknown Publisher
  • Release : 2006
  • Pages : 152
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Inverse Problems in Engineering Mechanics

Inverse Problems in Engineering Mechanics
A Book

by Masataka Tanaka,G.S. Dulikravich

  • Publisher : Elsevier
  • Release : 1998-11-09
  • Pages : 622
  • ISBN : 9780080535166
  • Language : En, Es, Fr & De
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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.

Nonlinear Least Squares for Inverse Problems

Nonlinear Least Squares for Inverse Problems
Theoretical Foundations and Step-by-Step Guide for Applications

by Guy Chavent

  • Publisher : Springer Science & Business Media
  • Release : 2010-03-14
  • Pages : 360
  • ISBN : 9789048127856
  • Language : En, Es, Fr & De
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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....

Modeling and Inverse Problems in the Presence of Uncertainty

Modeling and Inverse Problems in the Presence of Uncertainty
A Book

by H. T. Banks,Shuhua Hu,W. Clayton Thompson

  • Publisher : CRC Press
  • Release : 2014-04-01
  • Pages : 405
  • ISBN : 1482206439
  • Language : En, Es, Fr & De
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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.

Numerical Methods for Inverse Problems

Numerical Methods for Inverse Problems
A Book

by Michel Kern

  • Publisher : John Wiley & Sons
  • Release : 2016-03-31
  • Pages : 228
  • ISBN : 1119136954
  • Language : En, Es, Fr & De
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This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.

Numerical Issues from Inverse Problems in Image Processing

Numerical Issues from Inverse Problems in Image Processing
Parameter Estimation and Parallel Algorithms for a High Performance Computing Environment

by Youzuo Lin

  • Publisher : Unknown Publisher
  • Release : 2010
  • Pages : 214
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Inverse Problems in Signal Processing

Inverse Problems in Signal Processing
Functional Optimization, Parameter Estimation and Machine Learning

by Pol del Aguila Pla

  • Publisher : Unknown Publisher
  • Release : 2019
  • Pages : 129
  • ISBN : 9789178732135
  • Language : En, Es, Fr & De
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OPTIMIZATION AND OPERATIONS RESEARCH – Volume III

OPTIMIZATION AND OPERATIONS RESEARCH – Volume III

by Ulrich Derigs

  • Publisher : EOLSS Publications
  • Release : 2009-02-09
  • Pages : 438
  • ISBN : 1905839502
  • Language : En, Es, Fr & De
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Optimization and Operations Research is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Optimization and Operations Research is organized into six different topics which represent the main scientific areas of the theme: 1. Fundamentals of Operations Research; 2. Advanced Deterministic Operations Research; 3. Optimization in Infinite Dimensions; 4. Game Theory; 5. Stochastic Operations Research; 6. Decision Analysis, which are then expanded into multiple subtopics, each as a chapter. These four volumes are aimed at the following five major target audiences: University and College students Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Thermal Radiation Heat Transfer

Thermal Radiation Heat Transfer
A Book

by John R. Howell,M. Pinar Mengüc,Kyle Daun,Robert Siegel

  • Publisher : CRC Press
  • Release : 2020-12-10
  • Pages : 1006
  • ISBN : 1000257835
  • Language : En, Es, Fr & De
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The seventh edition of this classic text outlines the fundamental physical principles of thermal radiation, as well as analytical and numerical techniques for quantifying radiative transfer between surfaces and within participating media. The textbook includes newly expanded sections on surface properties, electromagnetic theory, scattering and absorption of particles, and near-field radiative transfer, and emphasizes the broader connections to thermodynamic principles. Sections on inverse analysis and Monte Carlo methods have been enhanced and updated to reflect current research developments, along with new material on manufacturing, renewable energy, climate change, building energy efficiency, and biomedical applications. Features: Offers full treatment of radiative transfer and radiation exchange in enclosures. Covers properties of surfaces and gaseous media, and radiative transfer equation development and solutions. Includes expanded coverage of inverse methods, electromagnetic theory, Monte Carlo methods, and scattering and absorption by particles. Features expanded coverage of near-field radiative transfer theory and applications. Discusses electromagnetic wave theory and how it is applied to thermal radiation transfer. This textbook is ideal for Professors and students involved in first-year or advanced graduate courses/modules in Radiative Heat Transfer in engineering programs. In addition, professional engineers, scientists and researchers working in heat transfer, energy engineering, aerospace and nuclear technology will find this an invaluable professional resource. Over 350 surface configuration factors are available online, many with online calculation capability. Online appendices provide information on related areas such as combustion, radiation in porous media, numerical methods, and biographies of important figures in the history of the field. A Solutions Manual is available for instructors adopting the text.

Mathematics in Science and Technology

Mathematics in Science and Technology
Mathematical Methods, Models and Algorithms in Science and Technology, Proceedings of the Satellite Conference of ICM 2010, India Habitat Centre & India Islamic Cultural Centre, New Delhi, India, 14-17 August 2010

by A. H. Siddiqi

  • Publisher : World Scientific
  • Release : 2011
  • Pages : 556
  • ISBN : 9814338826
  • Language : En, Es, Fr & De
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This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate OCo independent hysteresis, numerical analysis of Hamilton Jacobi OCo Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.

Efficient Parameter Estimation in the High-dimensional Inverse Problem of Seismic Tomography

Efficient Parameter Estimation in the High-dimensional Inverse Problem of Seismic Tomography
A Book

by Ran Zhang

  • Publisher : Unknown Publisher
  • Release : 2014
  • Pages : 85
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Advanced Materials '93

Advanced Materials '93
Computations, Glassy Materials, Microgravity and Non-Destructive Testing

by T Matsumoto

  • Publisher : Newnes
  • Release : 2012-12-02
  • Pages : 744
  • ISBN : 0444601155
  • Language : En, Es, Fr & De
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Computations, Glassy Materials, Microgravity and Non-Destructive Testing is a compilation of the papers presented during the Third IUMRS International Conference on Advanced Materials International Union of The Materials Research Societies that discussed the concepts and methods behind glassy materials. The book is divided into parts. Part 1 tackles the progresses in sol-gel science and technology; the reaction mechanisms of ormosils and effects of ultrasonic irradiation; and the preparation of different glasses and their properties. Part 2 covers topics such as the neural network system for the identification of materials; the use of computers for simulations of many-body systems; computer system for meeting the supercomputing needs of materials; quality control of materials information by knowledge base; and the development of knowledgebase system for computer-assisted alloy design. Part 3 deals with the properties of different materials, the concepts, and the techniques behind them, and Part 4 discusses the non-destructive evaluation. The text is recommended for chemists and engineers in the field of materials science, especially those who wish to know more about the progress in its field of research.

Terrestrial Radiative Transfer

Terrestrial Radiative Transfer
Modeling, Computation, and Data Analysis

by Harriet H. Natsuyama,Sueo Ueno,Alan P. Wang

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 292
  • ISBN : 4431685278
  • Language : En, Es, Fr & De
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A modern treatment of both direct and inverse problems applicable to the remote sensing of earth from space or from the air. Starting from a physical description of the process, the authors develop innovative mathematical models, fundamental mathematics for the analysis of these models, and methods for obtaining computational solutions. They also include the results of recent research using this approach, such as invariant imbedding techniques, associative memory artificial neural networks, and the automatic evaluation of derivatives. With its coverage of uniform parallel illumination, internal sources, and incident spotlight beams, this book is indispensable for researchers working to reduce the atmospheric distortion of remotely sensed terrestrial images.