Computer methods and Borel summability applied to Feigenbaum's equation:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1985
|
| Schriftenreihe: | Lecture notes in physics
227 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000272205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 297 S. |
| ISBN: | 3540152156 0387152156 |
Internformat
MARC
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| 100 | 1 | |a Eckmann, Jean-Pierre |d 1944- |e Verfasser |0 (DE-588)1044672730 |4 aut | |
| 245 | 1 | 0 | |a Computer methods and Borel summability applied to Feigenbaum's equation |c Jean-Pierre Eckmann ; Peter Wittwer |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1985 | |
| 300 | |a XIV, 297 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in physics |v 227 | |
| 650 | 7 | |a Borel sommeerbaarheid |2 gtt | |
| 650 | 7 | |a Computermethoden |2 gtt | |
| 650 | 4 | |a Sommabilité - Informatique | |
| 650 | 7 | |a Statistische mechanica |2 gtt | |
| 650 | 7 | |a Vergelijking van Feigenbaum |2 gtt | |
| 650 | 4 | |a Équations fonctionnelles - Solutions numériques - Informatique | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Functional equations |x Numerical solutions |x Data processing | |
| 650 | 4 | |a Summability theory |x Data processing | |
| 650 | 0 | 7 | |a Borel-Summierungsverfahren |0 (DE-588)4146328-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Feigenbaum-Funktionsgleichung |0 (DE-588)4153854-7 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Feigenbaum-Funktionsgleichung |0 (DE-588)4153854-7 |D s |
| 689 | 0 | 1 | |a Borel-Summierungsverfahren |0 (DE-588)4146328-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Wittwer, Peter |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in physics |v 227 |w (DE-604)BV000003166 |9 227 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000272205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-000272205 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0701 0013 A 1460 |
|---|---|
| DE-BY-TUM_katkey | 70869 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040020610939 |
| _version_ | 1821930762488774656 |
| adam_text | Table of Contents
Preface V
1. Introduction 1
2. Ecalle s theory of resurgent functions 12
2.1 Introduction 12
2.2 Normal forms 14
2.3 Existence and uniqueness of sectorial
solutions 19
2.4 Construction of sectorial solutions by
Borel resummation 23
2.5 Some properties of the sectorial solutions 37
3. The constructive method of Loeffel 41
4. Computer assisted proofs 51
4.1 Introduction 51
4.2 Representable numbers and computer
arithmetic 53
4.3 Intervals and scalars 61
4.3.1 Conversions to and from scalars 62
4.3.2 Functions of scalars 63
4.4 Neighborhood arithmetics in function space 74
4.4.1 The standard balls, vectors 75
4.4.2 Definition of data structures 76
4.4.3 Forming simple vectors 79
4.4.4 Functions 82
4.4.5 Maps in A 85
4.5 Appendices 98
4.5.1 Operations acting on formal power series 98
4.5.2 (Computer ) arithmetic operations 102
IV
5. The equations at N = » 103
5.1 Reformulation of the problem 103
5.2 Definition of function spaces 108
5.3 Equations defining K and DK 114
5.4 Statement of results 122
5.5 The main program 12^
5.6 The subroutine FvKI = K 138
5.7 The constructive solution of Ecalle s
equation 148
5.7.1 Domain questions 149
5.7.2 Solving Ecalle s equation (general outline) 164
5.7.3 Bounds and power series solution of
Ecalle s equation 170
5.7.4 Constructive version of Loeffel s
method for Borel summation 183
5.7.5 Ecalle s equation for general
inhomogeneities 197
5.7.6 Addition of the singular terms 206
5.8 The implementation of the tangent map DK 207
6. The equations for N » 253
6.1 Outline of the method and results 253
6.2 Outline of the proof of Theorems 6.1.2
and 6.1.3 259
6.3 The proof of Theorem 6.1.2 completed and
concluding remarks 286
Table I 291
Acknowledgements 292
References 293
|
| any_adam_object | 1 |
| author | Eckmann, Jean-Pierre 1944- Wittwer, Peter |
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| ctrlnum | (OCoLC)11867033 (DE-599)BVBBV000439472 |
| dewey-full | 515.7/4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/4 |
| dewey-search | 515.7/4 |
| dewey-sort | 3515.7 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV000439472 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:21:03Z |
| institution | BVB |
| isbn | 3540152156 0387152156 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000272205 |
| oclc_num | 11867033 |
| open_access_boolean | |
| owner | DE-12 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-706 DE-11 |
| owner_facet | DE-12 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-706 DE-11 |
| physical | XIV, 297 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spellingShingle | Eckmann, Jean-Pierre 1944- Wittwer, Peter Computer methods and Borel summability applied to Feigenbaum's equation Lecture notes in physics Borel sommeerbaarheid gtt Computermethoden gtt Sommabilité - Informatique Statistische mechanica gtt Vergelijking van Feigenbaum gtt Équations fonctionnelles - Solutions numériques - Informatique Datenverarbeitung Functional equations Numerical solutions Data processing Summability theory Data processing Borel-Summierungsverfahren (DE-588)4146328-6 gnd Feigenbaum-Funktionsgleichung (DE-588)4153854-7 gnd |
| subject_GND | (DE-588)4146328-6 (DE-588)4153854-7 |
| title | Computer methods and Borel summability applied to Feigenbaum's equation |
| title_auth | Computer methods and Borel summability applied to Feigenbaum's equation |
| title_exact_search | Computer methods and Borel summability applied to Feigenbaum's equation |
| title_full | Computer methods and Borel summability applied to Feigenbaum's equation Jean-Pierre Eckmann ; Peter Wittwer |
| title_fullStr | Computer methods and Borel summability applied to Feigenbaum's equation Jean-Pierre Eckmann ; Peter Wittwer |
| title_full_unstemmed | Computer methods and Borel summability applied to Feigenbaum's equation Jean-Pierre Eckmann ; Peter Wittwer |
| title_short | Computer methods and Borel summability applied to Feigenbaum's equation |
| title_sort | computer methods and borel summability applied to feigenbaum s equation |
| topic | Borel sommeerbaarheid gtt Computermethoden gtt Sommabilité - Informatique Statistische mechanica gtt Vergelijking van Feigenbaum gtt Équations fonctionnelles - Solutions numériques - Informatique Datenverarbeitung Functional equations Numerical solutions Data processing Summability theory Data processing Borel-Summierungsverfahren (DE-588)4146328-6 gnd Feigenbaum-Funktionsgleichung (DE-588)4153854-7 gnd |
| topic_facet | Borel sommeerbaarheid Computermethoden Sommabilité - Informatique Statistische mechanica Vergelijking van Feigenbaum Équations fonctionnelles - Solutions numériques - Informatique Datenverarbeitung Functional equations Numerical solutions Data processing Summability theory Data processing Borel-Summierungsverfahren Feigenbaum-Funktionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000272205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
| work_keys_str_mv | AT eckmannjeanpierre computermethodsandborelsummabilityappliedtofeigenbaumsequation AT wittwerpeter computermethodsandborelsummabilityappliedtofeigenbaumsequation |
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Bibliotheksmagazin
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0701 0013 A 1460 Lageplan |
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| Exemplar 1 | Ausleihbar Am Standort |