Regularization methods for ill-posed problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Russian |
| Veröffentlicht: |
Boca Raton u.a.
CRC Press
1993
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Russ. übers. |
| Beschreibung: | 257 S. |
| ISBN: | 0849393116 |
Internformat
MARC
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| 100 | 1 | |a Morozov, Vladimir A. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Reguliarnje metodj rešenija nekorrektno postavlennich zadač |
| 245 | 1 | 0 | |a Regularization methods for ill-posed problems |c V. A. Morozov |
| 264 | 1 | |a Boca Raton u.a. |b CRC Press |c 1993 | |
| 300 | |a 257 S. | ||
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| 500 | |a Aus d. Russ. übers. | ||
| 650 | 4 | |a Differential equations, Partial |x Improperly posed problems | |
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Datensatz im Suchindex
| _version_ | 1804121807432712192 |
|---|---|
| adam_text | CONTENTS
Introduction 1
I. PSEUDOINVERSION: PROPERTIES
AND APPLICATION 19
1. Jointly Closed and Complementary Operators 19
2. Basic Problem. L Pseudosolutions and Their Properties. . 27
3. Modified Method of Collocation (MMC) 35
4. Spline Method and Solution of Operator Equations 42
5. Optimality of Pseudoinversion Algorithm 48
II. L PSEUDOSOLUTION AND REGULARIZATION
METHOD 55
6. Approximation of L Pseudosolutions 55
7. Stability of Regularized Solutions from Perturbed Data . . 68
8. Problem of Calculation of Values of Unbounded
Operators and Problem of Identification of Models 76
9. Continuity of Operator A + and Convergence
of Regularized Solutions 87
10. Solution of Special Operator Equations without Gaussian
Transformation 95
III. REGULAR METHODS FOR SOLUTION OF THE BASIC
PROBLEM 101
11. Regularity of Approximate Methods 101
12. Regularity of Methods for Selection of Regularization
Parameter for Approximate Data 108
13. Discrepancy Method and Method of Quasisolutions .... 116
14. Algorithms of Choice of Regularization Parameter 127
15. Calculation of Inconsistency Measure and Estimate
of Adequacy of Mathematical Models 136
16. Regularity of MMC and Its Versions 140
17. Optimization of Approximate Methods 148
IV. REGULAR METHODS OF SOLVING NONLINEAR
PROBLEMS 173
18. Regular Methods of Solving Nonlinear Operator
Equations 173
Contents
19. Method of Quasisolutions on Noncompact Sets 187
20. Regularization of Simple Classes of Extremal Problems
According to A. N. Tikhonov 192
21. Principle of Regularity for General Variational
Problems 210
22. Construction of Regular Methods for Minimization
Problems 220
23. Algorithms of Selection of Regularization Parameter
for General Minimization Problems 230
References 237
Index 251
|
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| classification_rvk | SK 540 |
| ctrlnum | (OCoLC)26131477 (DE-599)BVBBV007516776 |
| dewey-full | 515/.353 |
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| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
| dewey-search | 515/.353 |
| dewey-sort | 3515 3353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007516776 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:03:51Z |
| institution | BVB |
| isbn | 0849393116 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004892342 |
| oclc_num | 26131477 |
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| physical | 257 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Morozov, Vladimir A. Verfasser aut Reguliarnje metodj rešenija nekorrektno postavlennich zadač Regularization methods for ill-posed problems V. A. Morozov Boca Raton u.a. CRC Press 1993 257 S. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. Differential equations, Partial Improperly posed problems Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd rswk-swf Stabilität (DE-588)4056693-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Inkorrekt gestelltes Problem (DE-588)4186951-5 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Stabilität (DE-588)4056693-6 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004892342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Morozov, Vladimir A. Regularization methods for ill-posed problems Differential equations, Partial Improperly posed problems Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd Stabilität (DE-588)4056693-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4186951-5 (DE-588)4056693-6 (DE-588)4044779-0 |
| title | Regularization methods for ill-posed problems |
| title_alt | Reguliarnje metodj rešenija nekorrektno postavlennich zadač |
| title_auth | Regularization methods for ill-posed problems |
| title_exact_search | Regularization methods for ill-posed problems |
| title_full | Regularization methods for ill-posed problems V. A. Morozov |
| title_fullStr | Regularization methods for ill-posed problems V. A. Morozov |
| title_full_unstemmed | Regularization methods for ill-posed problems V. A. Morozov |
| title_short | Regularization methods for ill-posed problems |
| title_sort | regularization methods for ill posed problems |
| topic | Differential equations, Partial Improperly posed problems Inkorrekt gestelltes Problem (DE-588)4186951-5 gnd Stabilität (DE-588)4056693-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Differential equations, Partial Improperly posed problems Inkorrekt gestelltes Problem Stabilität Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004892342&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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