The method of averaging functional corrections: theory and applications
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
1965
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | XVII, 136 S. |
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| 100 | 1 | |a Lučka, Anton J. |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Teorija i primeneniye metoda osrednenija funktsional' nych popravok |
| 245 | 1 | 0 | |a The method of averaging functional corrections |b theory and applications |c by Anton Yur'yevich Luchka |
| 264 | 1 | |a New York [u.a.] |b Acad. Press |c 1965 | |
| 300 | |a XVII, 136 S. | ||
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Record in the Search Index
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| adam_text | Contents
Preface v
Introduction ix
CHAPTER I
The General Theory of the Method
1. Construction of the Algorithm 1
2. A Necessary and Sufficient Condition for Convergence of the
Method. Neumann s Series 4
3. The Case of a Completely Continuous Operator 12
4. Error Estimates 14
5. The Case of a Hilbert Space 17
6. Another Form of the Algorithm 23
7. Comparison of the Methods of Sokolov and Galerkin 25
8. The Connection between the Operators fl* a , £*;., £lm ., and
Lm* (m k) 27
9. Application of the Method to Equations that Can Be
Reduced to Equations of the Form (I.I) 29
CHAPTER II
Application of the Method to Linear
Integrodifferential Equations
1. Integral Equations in the Space U (a, b) 34
2. Integral Equations in the Space L a, b) 53
3. Integrodifferential Equations in the Space / (a, b) 60
4. Comparison of the Method of Moments and the Sokolov
Method 83
CHAPTER III
Application of the Method to Systems of
Linear Integral and Differential Equations
1. Systems of Linear Integral Equations in the Space L»(a, b) 86
2. Systems of Linear Differential Equations 98
vii
viii Contents
CHAPTER IV
Application of the Method to Systems
of Linear Algebraic Equations
1. Infinite Systems of Linear Algebraic Equations in the
Space V 106
2. Finite Systems of Linear Algebraic Equations 114
Bibliography 131
|
| any_adam_object | 1 |
| author | Lučka, Anton J. |
| author_facet | Lučka, Anton J. |
| author_role | aut |
| author_sort | Lučka, Anton J. |
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| building | Verbundindex |
| bvnumber | BV003663384 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)613677898 (DE-599)BVBBV003663384 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T16:03:30Z |
| institution | BVB |
| language | English |
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| physical | XVII, 136 S. |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | Acad. Press |
| record_format | marc |
| spelling | Lučka, Anton J. Verfasser aut Teorija i primeneniye metoda osrednenija funktsional' nych popravok The method of averaging functional corrections theory and applications by Anton Yur'yevich Luchka New York [u.a.] Acad. Press 1965 XVII, 136 S. txt rdacontent n rdamedia nc rdacarrier Aus d. Russ. übers. Approximation (DE-588)4002498-2 gnd rswk-swf Approximation (DE-588)4002498-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002332153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lučka, Anton J. The method of averaging functional corrections theory and applications Approximation (DE-588)4002498-2 gnd |
| subject_GND | (DE-588)4002498-2 |
| title | The method of averaging functional corrections theory and applications |
| title_alt | Teorija i primeneniye metoda osrednenija funktsional' nych popravok |
| title_auth | The method of averaging functional corrections theory and applications |
| title_exact_search | The method of averaging functional corrections theory and applications |
| title_full | The method of averaging functional corrections theory and applications by Anton Yur'yevich Luchka |
| title_fullStr | The method of averaging functional corrections theory and applications by Anton Yur'yevich Luchka |
| title_full_unstemmed | The method of averaging functional corrections theory and applications by Anton Yur'yevich Luchka |
| title_short | The method of averaging functional corrections |
| title_sort | the method of averaging functional corrections theory and applications |
| title_sub | theory and applications |
| topic | Approximation (DE-588)4002498-2 gnd |
| topic_facet | Approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002332153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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