Discrete inverse problems

Discrete inverse problems: insight and algorithms

by Hansen, Per Christian

Type Book
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"This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. It includes a number of tutorial exercises that give the reader hands-on experience with the methods, difficulties, and challenges associated with the treatment of inverse problems. It also includes examples and figures that illustrate the theory and algorithms." "The book is written for graduate students, researchers, and p…

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Title Statements

  • Full title :Discrete inverse problems : insight and algorithms / Per Christian Hansen.

Summary

"This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. It includes a number of tutorial exercises that give the reader hands-on experience with the methods, difficulties, and challenges associated with the treatment of inverse problems. It also includes examples and figures that illustrate the theory and algorithms." "The book is written for graduate students, researchers, and professionals in engineering and other areas that depend on solving inverse problems with noisy data. The aim is to provide readers with enough background that they can solve simple inverse problems and read more advanced literature on the subject."

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Edition Statements

  • Publication Date:cop. 2010.

Publication Statements

The Physical Object

  • Description:XII, 213 str. : : ilustr. ; : 26 cm.

Edition Identifiers

  • ISBN:9780898716962, 0898716969
  • oclc:ocn781065335
  • Dewey Decimal:515/.357

Table of Contents

Introduction and motivation -- Meet the Fredholm integral equation of the first kind -- Getting to business : discretizations of linear inverse problems -- Computational aspects : regularization methods -- Getting serious : choosing the regularization parameter -- Towards real-world problems : iterative regularization -- Regularization methods at work : solving real problems -- Beyond the 2-norm : the use of discrete smoothing norms.

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Subjects

diferencialne enačbe Inverse problems (Differential equation… Problèmes inverses (Équations différent…

Writers

Hansen, Per Christian

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