Last edited by Voodooshura

Thursday, July 30, 2020 | History

4 edition of **Nonlinear Ill-posed Problems** found in the catalog.

Nonlinear Ill-posed Problems

Tikhonov

- 267 Want to read
- 8 Currently reading

Published
**1997**
by Chapman & Hall
.

Written in English

- Differential Equations,
- Mathematics for scientists & engineers,
- Probability & statistics,
- Numerics and Computation,
- Mathematics of Engineering,
- Mathematics,
- Science/Mathematics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 496 |

ID Numbers | |

Open Library | OL9605395M |

ISBN 10 | 0412786605 |

ISBN 10 | 9780412786600 |

where is a regularization parameter [1–3]. The corresponding theoretical studies for the solution of linear and nonlinear ill-posed problems are discussed in [24]. In iterative-type regularization, many special iterative optimization structures are investigated to Cited by: 3. Get this from a library! Nonlinear ill-posed problems of monotone type. [Yakov Alber; Irina Ryazantseva] -- "Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results.

An Overview of Numerical Methods for Nonlinear Ill-Posed Problems Curtis R. Vogel Department of Mathematical Sciences Montana State University Bozeman, Montana I. INTRODUCTION Nonlinear ill-posed problems arise in a variety of important applications ranging from medical imaging to geophysics to the nondestructive testing of by: Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Rating: (not yet rated) 0 with reviews - Be the first.

When writing this book, the authors tried to define the place and role of ill posed problems in modem mathematics. In a few words, we define the theory of ill-posed problems as the theory of approximating functions with approximately given arguments in functional spaces. A guideline for the analysis and classification of nonlinear ill-posed problems to detect practical identifiability problems is given. Techniques for the regularization of experimental design problems resulting from ill-posed parameter estimations are discussed. Applications are presented for three different case studies of increasing by:

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Read While You Wait - Get immediate ebook access* when you order a print book Mathematics Nonlinear Ill-Posed Problems. Authors: Tikhonov, A.N. Buy this book Softco59 € price for Spain (gross) Buy Softcover ISBN ; Free shipping for individuals worldwide; Immediate ebook access* with your print order.

Nonlinear Ill-Posed Problems (Applied Mathematical Sciences) Softcover reprint Nonlinear Ill-posed Problems book the original 1st ed. Edition by A.N.

Tikhonov (Author) › Visit Amazon's A.N. Tikhonov Page. Find all the books, read about the author, and more. See search results for this author.

Are you an author. Cited by: : Nonlinear Ill-Posed Problems (Applied Mathematics & Mathematical Computation) (): Tikhonov, A.N.: Books1/5(1). Buy Nonlinear Ill-posed Problems of Monotone Type on FREE SHIPPING on qualified orders Nonlinear Ill-posed Problems of Monotone Type: Yakov Alber, Irina Ryazantseva: : Books.

Nonlinear time varying model identification in ill-posed problems [Giraldo, Eduardo] on *FREE* shipping on qualifying offers. Nonlinear time varying model identification in ill-posed problemsAuthor: Eduardo Giraldo.

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are.

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years.

Results in the field over the last three decades, previously only available in journal articles. Nonlinear ill-posed problems arise in a variety of important applications, ranging from medical imaging to geophysics to the nondestructive testing of materials. This chapter provides an overview of the various numerical methods for nonlinear ill-posed problems.

For each method, a sequence of subproblems is solved. Strakhov, “Theory of approximate solution of linear ill-posed problems in a Hilbert space and its application in geophysical prospecting (I),” Izv. Akad. Nauk SSSR, Fiz.

Zemli., No. 8, Cited by: This paper discusses the inversion of nonlinear ill-posed problems. Such problems are solved through regularization and iteration and a major computational problem arises because the regularization parameter is not known a priori.

In this paper we show that the regularization should be made up of two parts. A global regularization parameter is required to Cited by: Iterative Regularization Methods for Nonlinear Ill-Posed Problems Bearbeitet von Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer 1.

Auflage Buch. VIII, S. Hardcover ISBN 3 11 9 Format (B x L): 17 x 24 cm Gewicht: g Weitere Fachgebiete > Mathematik > Numerik und Wissenschaftliches Rechnen schnell und portofrei. The probably most well-known method for solving nonlinear ill-posed problems is Tikhonov regularization: it consists in approximating a solution of () by a minimizer xδα of the functional x → F (x) − y δ 2 + αx − x0 2, () where x0 ∈ X typically unifies all available a-priori information on the solution and α is a positive parameter.

Iterative Regularization Methods for Nonlinear Ill-Posed Problems (Radon Series on Computational and Applied Mathematics) 1st Edition by Barbara Kaltenbacher (Author) › Visit Amazon's Barbara Kaltenbacher Page. Find all the books, read about the author, and more. See search results for this Cited by: Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations.

Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set Released on: Summary: Published in two volumes, this work introduces the reader to the theory of nonlinear ill-posed problems and its applications, and shows how to solve these problems using regularizing algorithms.

There is an extensive bibliography on ill-posed and inverse problems. On the degree of Ill-posedness for nonlinear problems Article (PDF Available) in Journal of Inverse and Ill-Posed Problems 2(1) January. Moreover, nonlinear ill-posed problems with noisy data are considered and a priori and a posteriori stopping rules are proposed.

These rules yield convergence of the regularized approximations to. This journal presents original articles on the theory, numerics and applications of inverse and ill-posed problems.

These inverse and ill-posed problems arise in mathematical physics and mathematical analysis, geophysics, acoustics, electrodynamics, tomography, medicine, ecology, financial mathematics etc.

Articles on the construction and justification of new numerical. A linear equation Au=f (1) with a bounded, injective, but not boundedly invertible linear operator in a Hilbert space H is studied.

A new approach to solving linear ill-posed problems is proposed. The notion of well- and ill-posed problems, and also that of problems intermediate between well- and ill-posed ones, is described. Examples of such mathematical problems (systems of linear.

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment.Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations.

Those problems require a.Solutions of Ill-Posed Problems (A. N. Tikhonov and V. Y. Arsenin) Related Databases. Ensemble-Based Variational Method for Nonlinear Inversion of Surface Gravity Waves.

Journal of Atmospheric and Oceanic TechnologyA seismoelectric inverse problem with well-log data and borehole-confined by: