Iterative Methods for Ill-Posed Problems : : An Introduction / / Anatoly B. Bakushinsky, Alexandra Smirnova, Mihail Yu. Kokurin.
Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the assoc...
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| Superior document: | Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2010] ©2011 |
| Year of Publication: | 2010 |
| Language: | English |
| Series: | Inverse and Ill-Posed Problems Series ,
54 |
| Online Access: | |
| Physical Description: | 1 online resource (136 p.) |
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| 100 | 1 | |a Bakushinsky, Anatoly B., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Iterative Methods for Ill-Posed Problems : |b An Introduction / |c Anatoly B. Bakushinsky, Alexandra Smirnova, Mihail Yu. Kokurin. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2010] | |
| 264 | 4 | |c ©2011 | |
| 300 | |a 1 online resource (136 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Inverse and Ill-Posed Problems Series , |x 1381-4524 ; |v 54 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t 1 The regularity condition. Newton’s method -- |t 2 The Gauss–Newton method -- |t 3 The gradient method -- |t 4 Tikhonov’s scheme -- |t 5 Tikhonov’s scheme for linear equations -- |t 6 The gradient scheme for linear equations -- |t 7 Convergence rates for the approximation methods in the case of linear irregular equations -- |t 8 Equations with a convex discrepancy functional by Tikhonov’s method -- |t 9 Iterative regularization principle -- |t 10 The iteratively regularized Gauss–Newton method -- |t 11 The stable gradient method for irregular nonlinear equations -- |t 12 Relative computational efficiency of iteratively regularized methods -- |t 13 Numerical investigation of two-dimensional inverse gravimetry problem -- |t 14 Iteratively regularized methods for inverse problem in optical tomography -- |t 15 Feigenbaum’s universality equation -- |t 16 Conclusion -- |t References -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of equations combined with the associated initial and boundary conditions. Frequently, the study of applied optimization problems is also reduced to solving the corresponding equations. These equations, encountered both in theoretical and applied areas, may naturally be classified as operator equations. The current textbook will focus on iterative methods for operator equations in Hilbert spaces. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Differential equations, Partial |x Improperly posed problems. | |
| 650 | 0 | |a Iterative methods (Mathematics). | |
| 650 | 4 | |a Hilbert Space. | |
| 650 | 4 | |a Ill-posed Problem. | |
| 650 | 4 | |a Inverse Problem. | |
| 650 | 4 | |a Iterative Method. | |
| 650 | 4 | |a Operator Equation. | |
| 650 | 7 | |a MATHEMATICS / General. |2 bisacsh | |
| 653 | |a Hilbert Space. | ||
| 653 | |a Ill-posed Problem. | ||
| 653 | |a Inverse Problem. | ||
| 653 | |a Iterative Method. | ||
| 653 | |a Operator Equation. | ||
| 700 | 1 | |a Kokurin, Mihail Yu., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Smirnova, Alexandra, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Complete English Language 2000-2014 PART1 |z 9783110238570 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Backlist Mathematics 2000-2014 (EN) |z 9783110238471 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DGBA Mathematics - 2000 - 2014 |z 9783110637205 |o ZDB-23-GMA |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2010 |z 9783110233544 |o ZDB-23-DGG |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PACKAGE ENGLISH LANGUAGES TITLES 2010 |z 9783110233551 |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t E-BOOK PAKET SCIENCE TECHNOLOGY AND MEDICINE 2010 |z 9783110233636 |o ZDB-23-DMN |
| 776 | 0 | |c print |z 9783110250640 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110250657 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110250657 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110250657/original |
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