Coefficient inverse problems for parabolic type equations and their application:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Utrecht ; Boston ; Köln ; Tokyo
VSP
2001
|
| Edition: | 1. publ. |
| Series: | Inverse and ill posed problems series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 105 - 115 |
| Physical Description: | III, 115 S. graph. Darst. : 25 cm |
| ISBN: | 9067643483 |
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| 245 | 1 | 0 | |a Coefficient inverse problems for parabolic type equations and their application |c P. G. Danilaev |
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| 264 | 1 | |a Utrecht ; Boston ; Köln ; Tokyo |b VSP |c 2001 | |
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
INVERSE A ND ILL-POSED PROBLEMS SERIES
COEFFICIENT INVERSE
PROBLEMS FOR PARABOLICTYPE EQUATIONS ANDTHEIR APPLICATION
EG. DANILAEV
///VSP/// UTRECHT * BOSTON * KOELN * TOKYO 2001
IMAGE 2
CONTENTS
CHAPTER 1. ON THE ILL-POSEDNESS OF COEFRCIENT INVERSE PROBLEMS AND THE
GENERAL APPROACH TO THE STUDY OF THEM 1
CHAPTER 2. DETERMINING THE COEFRCIENT FOR THE LOWEST TERM OF EQUATION 7
2.1. SETTING OF THE PROBLEM. DETERMINATION OF THE COEFRCIENT 7
2.2. THE DIFFERENCE QUASI-INVERSION PROBLEM 10
2.3. A TEST EXAMPLE 14
CHAPTER 3. DETERMINING OF THE COEFRCIENT FOR THE LEADING TERMS OF
EQUATION 21
3.1. STATEMENT OF THE PROBLEM 21
3.2. THE QUASI-INVERSION PROBLEM AND AN ESTIMATE OF STABILITY OF ITS
SOLUTION 23
3.3. SIMPLIFICATION OF EQUATION OF THE QUASI-INVERSION METHOD 25
3.4. SIMPLIFICATION OF THE QUASI-INVERSION PROBLEM 36
3.5. FINDING THE COEFFICIENT 41
3.6. DIFFERENCE QUASI-INVERSION PROBLEM 51
3.7. NUMERICAL SOLUTION OF THE QUASI-INVERSION PROBLEM 57
3.8. RESULTS OF SOLUTION OF A TEST EXAMPLE PROBLEM 64
CHAPTER 4. MODIFICATION OF THE METHOD OF DETERMINING THE COEFRCIENT OF
THE LEADING TERMS IN AN EQUATION 67
4.1. MODIFICATION METHOD 67
4.2. DEFINING A COEFFICIENT 73
4.3. ON DERIVING THE MAIN INTEGRO-DIFFERENTIAL EQUATION 78
IMAGE 3
VI
P. G. DANILAEV. COEFFICIENT INVERSE PROBLEMS
CHAPTER 5. GENERALIZATION OF THE DEVELOPED ALGORITHM FOR SOLVING
COEFFICIENT INVERSION PROBLEM 83
CHAPTER 6. ON APPLICATIONS OF COEFFICIENT INVERSE PROBLEMS IN
UNDERGROUND FLUID DYNAMICS 87
6.1. DETERMINING OF FILTRATION PARAMETERS OF EXPLOITED NON-HOMOGENEOUS
OIL STRATA 87
6.2. DETERMINING THE FILTRATION PARAMETERS IN THE CASE OF NON-LINEAR
FILTRATION 91
6.3. THE QUASI-INVERSION PROBLEM FOR THE CONSIDERED CASES 101
SUMMARY 103
BIBLIOGRAPHY 105
|
| any_adam_object | 1 |
| author | Danilaev, P. G. |
| author_facet | Danilaev, P. G. |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)47899121 (DE-599)BVBBV013884629 |
| dewey-full | 515/.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.353 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV013884629 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:47Z |
| institution | BVB |
| isbn | 9067643483 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009499115 |
| oclc_num | 47899121 |
| open_access_boolean | |
| owner | DE-703 |
| owner_facet | DE-703 |
| physical | III, 115 S. graph. Darst. : 25 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | VSP |
| record_format | marc |
| series2 | Inverse and ill posed problems series |
| spelling | Danilaev, P. G. Verfasser aut Coefficient inverse problems for parabolic type equations and their application P. G. Danilaev 1. publ. Utrecht ; Boston ; Köln ; Tokyo VSP 2001 III, 115 S. graph. Darst. : 25 cm txt rdacontent n rdamedia nc rdacarrier Inverse and ill posed problems series Literaturverz. S. 105 - 115 Differential equations, Parabolic Numerical solutions Inverse problems (Differential equations) Numerical solutions Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Inverses Problem (DE-588)4125161-1 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Inverses Problem (DE-588)4125161-1 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009499115&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Danilaev, P. G. Coefficient inverse problems for parabolic type equations and their application Differential equations, Parabolic Numerical solutions Inverse problems (Differential equations) Numerical solutions Parabolische Differentialgleichung (DE-588)4173245-5 gnd Inverses Problem (DE-588)4125161-1 gnd |
| subject_GND | (DE-588)4173245-5 (DE-588)4125161-1 |
| title | Coefficient inverse problems for parabolic type equations and their application |
| title_auth | Coefficient inverse problems for parabolic type equations and their application |
| title_exact_search | Coefficient inverse problems for parabolic type equations and their application |
| title_full | Coefficient inverse problems for parabolic type equations and their application P. G. Danilaev |
| title_fullStr | Coefficient inverse problems for parabolic type equations and their application P. G. Danilaev |
| title_full_unstemmed | Coefficient inverse problems for parabolic type equations and their application P. G. Danilaev |
| title_short | Coefficient inverse problems for parabolic type equations and their application |
| title_sort | coefficient inverse problems for parabolic type equations and their application |
| topic | Differential equations, Parabolic Numerical solutions Inverse problems (Differential equations) Numerical solutions Parabolische Differentialgleichung (DE-588)4173245-5 gnd Inverses Problem (DE-588)4125161-1 gnd |
| topic_facet | Differential equations, Parabolic Numerical solutions Inverse problems (Differential equations) Numerical solutions Parabolische Differentialgleichung Inverses Problem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009499115&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT danilaevpg coefficientinverseproblemsforparabolictypeequationsandtheirapplication |