Adjoint equations and perturbation algorithms in nonlinear problems:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 275 S. |
| ISBN: | 0849328713 |
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MARC
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| 245 | 1 | 0 | |a Adjoint equations and perturbation algorithms in nonlinear problems |c Guri I. Marchuk ; Valeri I. Agoshkov ; Victor P. Shutyaev |
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Record in the Search Index
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| adam_text | ADJOINT EQUATIONS AND PERTURBATION ALGORITHMS IN NONLINEAR PROBLEMS GURI
I. MARCHUK VALERI I. AGOSHKOV VICTOR P. SHUTYAEV INSTITUTE OF NUMERICAL
MATHEMATICS MOSCOW, RUSSIA CRC PRESS BOCA RATON NEW YORK LONDON TOKYO
CONTENTS CHAPTER 1. PRINCIPLES OF CONSTRUCTION OF ADJOINT OPERATORS IN
NON-LINEAR PROBLEMS 1 1. DUAL SPACES AND ADJOINT OPERATORS 1 2.
CONSTRUCTION OF ADJOINT OPERATORS BASED ON USING THE LAGRANGE IDENTITY 8
3. DEFINITION OF ADJOINT OPERATORS BASED ON USING TAYLOR S FORMULA 10 4.
OPERATORS OF THE CLASS V AND THEIR ADJOINT OPERATORS 16 CHAPTER 2.
PROPERTIES OF ADJOINT OPERATORS CONSTRUCTED ON THE BASIS OF VARIOUS
PRINCIPLES 19 1. GENERAL PROPERTIES OF MAIN AND ADJOINT OPERATORS
CORRESPONDING TO NON-LINEAR OPERATORS 19 2. PROPERTIES OF OPERATORS OF
THE CLASS V 30 3. PROPERTIES OF ADJOINT OPERATORS CONSTRUCTED WITH THE
USE OF THE TAYLOR FORMULA 33 CHAPTER 3. SOLVABILITY OF MAIN AND ADJOINT
EQUATIONS IN NON-LINEAR PROBLEMS 37 1. MAIN AND ADJOINT EQUATIONS.
PROBLEMS 37 2. SOLVABILITY OF THE EQUATION F{U) = Y 38 3. SOLVABILITY OF
THE EQUATION A(U) V * Y . 47 4. SOLVABILITY OF THE EQUATION A{U) V = Y
49 5. SOLVABILITY OF THE EQUATION A*(U) W = P 53 6. SOLVABILITY OF THE
EQUATION A*(U) W = P 55 CONTENTS CHAPTER 4. TRANSFORMATION GROUPS,
CONSERVATION LAWS AND CONSTRUCTING THE ADJOINT OPERATORS IN NON-LINEAR
PROBLEMS 59 1. DEFINITIONS. NON-LINEAR EQUATIONS AND OPERATORS.
CONSERVATION LAWS 59 2. TRANSFORMATION OF EQUATIONS 63 3. ADJOINT
EQUATIONS 65 4. RELATIONSHIP BETWEEN DIFFERENT ADJOINT OPERATORS 70 5.
GENERAL REMARKS ON CONSTRUCTING THE ADJOINT EQUATIONS WITH THE USE OF
THE LIE GROUPS AND CONSERVATION LAWS 79 6. CONSTRUCTION OF ADJOINT
OPERATORS WITH PRESCRIBED PROPERTIES 82 7. THE NOETHER THEOREM,
CONSERVATION LAWS AND ADJOINT OPERATORS 88 8. ON SOME APPLICATIONS OF
ADJOINT EQUATIONS 96 CHAPTER 5. PERTURBATION ALGORITHMS IN NON-LINEAR
PROBLEMS 105 1. PERTURBATION ALGORITHMS FOR ORIGINAL NON-LINEAR
EQUATIONS AND EQUATIONS INVOLVING ADJOINT OPERATORS 105 2. PERTURBATION
ALGORITHMS FOR NON-LINEAR FUNCTIONALS BASED ON USING MAIN AND ADJOINT
EQUATIONS 113 3. SPECTRAL METHOD IN PERTURBATION ALGORITHMS 120 4.
JUSTIFICATION OF THE N-TH ORDER PERTURBATION ALGORITHMS 125 5.
CONVERGENCE RATE ESTIMATES FOR PERTURBATION ALGORITHMS. COMPARISON WITH
THE SUCCESSIVE APPROXIMATION METHOD 136 6. JUSTIFICATION OF PERTURBATION
ALGORITHMS IN QUASI-LINEAR ELLIPTIC PROBLEMS 143 CHAPTER 6. ADJOINT
EQUATIONS AND THE JV-TH ORDER PERTURBATION ALGORITHMS IN NON-LINEAR
PROBLEMS OF TRANSPORT THEORY 159 1. SOME PROBLEMS OF TRANSPORT THEORY
159 2. THE N-TH ORDER PERTURBATION ALGORITHMS FOR AN EIGENVALUE PROBLEM
163 3. A PROBLEM OF CONTROL AND ITS APPROXIMATE SOLUTION WITH THE USE OF
PERTURBATION ALGORITHMS 168 4. INVESTIGATION AND APPROXIMATE SOLUTION OF
A NON-LINEAR PROBLEM FOR THE TRANSPORT EQUATION 170 CONTENTS CHAPTER 7.
ADJOINT EQUATIONS AND PERTURBATION ALGORITHMS FOR A QUASILINEAR EQUATION
OF MOTION 179 1. STATEMENT OF THE PROBLEM. BASIC ASSUMPTIONS. OPERATOR
FORMULATION 179 2. TRANSFORMATION OF THE PROBLEM. PROPERTIES OF THE
NON-LINEAR OPERATOR 184 3. ADJOINT EQUATION 187 4. AN ALGORITHM FOR
COMPUTING THE FUNCTIONAL 192 5. THE PROBLEM ON CHEMICAL EXCHANGE
PROCESSES 197 CHAPTER 8. ADJOINT EQUATIONS AND PERTURBATION ALGORITHMS
FOR A NON-LINEAR MATHEMATICAL MODEL OF MASS TRANSFER IN SOIL 201 1.
MATHEMATICAL MODELS OF MASS TRANSFER IN SOIL 201 2. FORMULATION OF A
NON-LINEAR MATHEMATICAL MODEL 204 3. TRANSFORMATION OF THE PROBLEM.
PROPERTIES OF THE NON-LINEAR OPERATOR 209 4. PERTURBATION ALGORITHM.
ADJOINT EQUATION 212 5. APPROXIMATE SOLUTION OF THE PROBLEM ON FINDING
AN EFFECTIVE DISPERSION COEFFICIENT 218 6. AN ALGORITHM FOR SOLVING THE
PROBLEM 221 CHAPTER 9. APPLICATIONS OF ADJOINT EQUATIONS IN SCIENCE AND
TECHNOLOGY 225 1. ADJOINT EQUATIONS IN DATA ASSIMILATION PROBLEMS 225 2.
APPLICATION OF ADJOINT EQUATIONS FOR SOLVING THE PROBLEM OF LIQUID
BOUNDARY CONDITIONS IN HYDRODYNAMICS 238 3. SHAPE OPTIMIZATION USING
ADJOINT EQUATION APPROACHES 241 4. GLOBAL TRANSPORT OF POLLUTANTS 245 5.
PROBLEMS OF CLIMATE CHANGE SENSITIVITY IN VARIOUS REGIONS OF THE WORLD
251 BIBLIOGRAPHY 255 INDEX 273
|
| any_adam_object | 1 |
| author | Marčuk, Gurij I. 1925-2013 Agoškov, Valerij I. Šutjaev, Viktor P. |
| author_GND | (DE-588)119060701 |
| author_facet | Marčuk, Gurij I. 1925-2013 Agoškov, Valerij I. Šutjaev, Viktor P. |
| author_role | aut aut aut |
| author_sort | Marčuk, Gurij I. 1925-2013 |
| author_variant | g i m gi gim v i a vi via v p š vp vpš |
| building | Verbundindex |
| bvnumber | BV011105104 |
| classification_rvk | SK 620 |
| ctrlnum | (OCoLC)845168307 (DE-599)BVBBV011105104 |
| dewey-full | 530.155355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.155355 |
| dewey-search | 530.155355 |
| dewey-sort | 3530.155355 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV011105104 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:04:04Z |
| institution | BVB |
| isbn | 0849328713 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007440276 |
| oclc_num | 845168307 |
| open_access_boolean | |
| owner | DE-12 DE-634 DE-11 |
| owner_facet | DE-12 DE-634 DE-11 |
| physical | 275 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | CRC Press |
| record_format | marc |
| spelling | Marčuk, Gurij I. 1925-2013 Verfasser (DE-588)119060701 aut Adjoint equations and perturbation algorithms in nonlinear problems Guri I. Marchuk ; Valeri I. Agoshkov ; Victor P. Shutyaev Boca Raton [u.a.] CRC Press 1996 275 S. txt rdacontent n rdamedia nc rdacarrier Adjunktion Mathematik (DE-588)4373166-1 gnd rswk-swf Komplexe System gnd rswk-swf Komplexe System f Adjunktion Mathematik (DE-588)4373166-1 s DE-604 Agoškov, Valerij I. Verfasser aut Šutjaev, Viktor P. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007440276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marčuk, Gurij I. 1925-2013 Agoškov, Valerij I. Šutjaev, Viktor P. Adjoint equations and perturbation algorithms in nonlinear problems Adjunktion Mathematik (DE-588)4373166-1 gnd |
| subject_GND | (DE-588)4373166-1 |
| title | Adjoint equations and perturbation algorithms in nonlinear problems |
| title_auth | Adjoint equations and perturbation algorithms in nonlinear problems |
| title_exact_search | Adjoint equations and perturbation algorithms in nonlinear problems |
| title_full | Adjoint equations and perturbation algorithms in nonlinear problems Guri I. Marchuk ; Valeri I. Agoshkov ; Victor P. Shutyaev |
| title_fullStr | Adjoint equations and perturbation algorithms in nonlinear problems Guri I. Marchuk ; Valeri I. Agoshkov ; Victor P. Shutyaev |
| title_full_unstemmed | Adjoint equations and perturbation algorithms in nonlinear problems Guri I. Marchuk ; Valeri I. Agoshkov ; Victor P. Shutyaev |
| title_short | Adjoint equations and perturbation algorithms in nonlinear problems |
| title_sort | adjoint equations and perturbation algorithms in nonlinear problems |
| topic | Adjunktion Mathematik (DE-588)4373166-1 gnd |
| topic_facet | Adjunktion Mathematik Komplexe System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007440276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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