The Mollification Method and the Numerical Solution of Ill-Posed Problems

The Mollification Method and the Numerical Solution of Ill-Posed Problems PDF Author: Diego A. Murio
Publisher: John Wiley & Sons
ISBN: 1118031466
Category : Mathematics
Languages : en
Pages : 272

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Book Description
Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations.

The Mollification Method and the Numerical Solution of Ill-Posed Problems

The Mollification Method and the Numerical Solution of Ill-Posed Problems PDF Author: Diego A. Murio
Publisher: John Wiley & Sons
ISBN: 1118031466
Category : Mathematics
Languages : en
Pages : 272

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Book Description
Uses a strong computational and truly interdisciplinary treatment to introduce applied inverse theory. The author created the Mollification Method as a means of dealing with ill-posed problems. Although the presentation focuses on problems with origins in mechanical engineering, many of the ideas and techniques can be easily applied to a broad range of situations.

Regularization of Inverse Problems

Regularization of Inverse Problems PDF Author: Heinz Werner Engl
Publisher: Springer Science & Business Media
ISBN: 9780792361404
Category : Mathematics
Languages : en
Pages : 340

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Book Description
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.

Computational Methods for Applied Inverse Problems

Computational Methods for Applied Inverse Problems PDF Author: Yanfei Wang
Publisher: Walter de Gruyter
ISBN: 3110259052
Category : Mathematics
Languages : en
Pages : 552

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Book Description
Nowadays inverse problems and applications in science and engineering represent an extremely active research field. The subjects are related to mathematics, physics, geophysics, geochemistry, oceanography, geography and remote sensing, astronomy, biomedicine, and other areas of applications. This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. The practical applications include inverse scattering, chemistry, molecular spectra data processing, quantitative remote sensing inversion, seismic imaging, oceanography, and astronomical imaging. The book serves as a reference book and readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

A Taste of Inverse Problems

A Taste of Inverse Problems PDF Author: Martin Hanke
Publisher: SIAM
ISBN: 1611974941
Category : Mathematics
Languages : en
Pages : 171

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Book Description
Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. This book presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. A Taste of Inverse Problems: Basic Theory and Examples rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations;presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory.

Advances In Numerical Heat Transfer

Advances In Numerical Heat Transfer PDF Author: W. Minkowycz
Publisher: CRC Press
ISBN: 9781560324416
Category : Science
Languages : en
Pages : 456

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Book Description
This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.

Operator Theory

Operator Theory PDF Author: Aref Jeribi
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110598191
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This proceedings volume collects select contributions presented at the International Conference in Operator Theory held at Hammamet, Tunisia, on April 30 May 3, 2018. Edited and refereed by well-known experts in the field, this wide-ranging collection of survey and research articles presents the state of the art in the field of operator theory, covering topics such as operator and spectral theory, fixed point theory, functional analysis etc.

Computational Methods for Optimal Design and Control

Computational Methods for Optimal Design and Control PDF Author: J. Borggaard
Publisher: Springer Science & Business Media
ISBN: 1461217806
Category : Technology & Engineering
Languages : en
Pages : 467

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Book Description
This volume contains the proceedings of the Second International Workshop on Optimal Design and Control, held in Arlington, Virginia, 30 September-3 Octo ber, 1997. The First Workshop was held in Blacksburg, Virginia in 1994. The proceedings of that meeting also appeared in the Birkhauser series on Progress in Systems and Control Theory and may be obtained through Birkhauser. These workshops were sponsored by the Air Force Office of Scientific Re search through the Center for Optimal Design and Control (CODAC) at Vrrginia Tech. The meetings provided a forum for the exchange of new ideas and were designed to bring together diverse viewpoints and to highlight new applications. The primary goal of the workshops was to assess the current status of research and to analyze future directions in optimization based design and control. The present volume contains the technical papers presented at the Second Workshop. More than 65 participants from 6 countries attended the meeting and contributed to its success. It has long been recognized that many modern optimal design problems are best viewed as variational and optimal control problems. Indeed, the famous problem of determining the body of revolution that produces a minimum drag nose shape in hypersonic How was first proposed by Newton in 1686. Optimal control approaches to design can provide theoretical and computational insight into these problems. This volume contains a number of papers which deal with computational aspects of optimal control.

Inverse Heat Transfer

Inverse Heat Transfer PDF Author: M. Necat Ozisik
Publisher: Routledge
ISBN: 1351436392
Category : Science
Languages : en
Pages : 370

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Book Description
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.

Optimization in the Natural Sciences

Optimization in the Natural Sciences PDF Author: Alexander Plakhov
Publisher: Springer
ISBN: 3319203525
Category : Computers
Languages : en
Pages : 214

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Book Description
This book constitutes the refereed proceedings of the 30th Euro Mini-Conference, EmC-ONS 2014, held in Aveiro, Portugal, in February 2014. The 13 revised full papers presented were carefully reviewed and selected from 70 submissions. The papers are organized in topical sections on dynamical systems; optimization and applications; modeling and statistical techniques for data analysis.

Inverse Problems, Design and Optimization - vol. 1

Inverse Problems, Design and Optimization - vol. 1 PDF Author:
Publisher: Editora E-papers
ISBN: 8576500299
Category :
Languages : en
Pages : 365

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Book Description