Cascadic algorithms for two classes of nonlinear elliptic boundary value problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
1999
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Dresden, Techn. Univ., Diss., 1999 |
| Beschreibung: | VII, 97 S. |
Internformat
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| 245 | 1 | 0 | |a Cascadic algorithms for two classes of nonlinear elliptic boundary value problems |c von Gisela Timmermann |
| 264 | 1 | |c 1999 | |
| 300 | |a VII, 97 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Dresden, Techn. Univ., Diss., 1999 | ||
| 650 | 0 | 7 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Newton-Verfahren |0 (DE-588)4171693-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineares Randwertproblem |0 (DE-588)4129830-5 |2 gnd |9 rswk-swf |
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| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Elliptisches Randwertproblem |0 (DE-588)4193399-0 |D s |
| 689 | 1 | 1 | |a Nichtlineares Randwertproblem |0 (DE-588)4129830-5 |D s |
| 689 | 1 | 2 | |a Finite-Elemente-Methode |0 (DE-588)4017233-8 |D s |
| 689 | 1 | 3 | |a Newton-Verfahren |0 (DE-588)4171693-0 |D s |
| 689 | 1 | |5 DE-604 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008552097 | |
Datensatz im Suchindex
| _version_ | 1807500874463838208 |
|---|---|
| adam_text |
CONTENTS
LIST
OF
FIGURES
III
LIST
OF
TABLES
V
NOTATIONS
VII
1
INTRODUCTION
1
2
PRELIMINARIES
7
2.1
NOTATIONS
AND
DEFINITIONS
.
7
2.2
PARAMETER
OPTIMIZATION
PROBLEMS
.
9
2.2.1
RESULTS
FROM
POLYNOMIAL
OPTIMIZATION
.
9
2.2.2
ITERATIVE
SOLVERS
FOR
LINEAR
SYSTEMS
.
13
3
A
CASCADIC
ALGORITHM
FOR
NONLINEAR
POSITIVE
DEFINITE
PROBLEMS
21
3.1
THE
PROBLEM
AND
ITS
DISCRETIZATION
.
21
3.1.1
FORMULATION
OF
THE
PROBLEM
.
21
3.1.2
DISCRETIZATION
.
24
3.1.3
BASIC
ERROR
ESTIMATES
.
26
3.2
THE
CASCADIC
ALGORITHM
.
31
3.2.1
FORMULATION
OF
THE
ALGORITHM
.
31
3.2.2
ERROR
ANALYSIS
.
35
3.2.3
NUMERICAL
TESTS
.
49
4
A
CASCADIC
ALGORITHM
FOR
NONLINEAR
INDEFINITE
PROBLEMS
61
4.1
THE
PROBLEM
AND
ITS
DISCRETIZATION
.
61
4.1.1
FORMULATION
OF
THE
PROBLEM
.
61
4.1.2
DISCRETIZATION
AND
BASIC
ERROR
ESTIMATES
.
63
4.2
THE
CASCADIC
ALGORITHM
.
70
4.2.1
FORMULATION
OF
THE
ALGORITHM
.
70
4.2.2
ERROR
ANALYSIS
.
74
4.2.3
NUMERICAL
TESTS
.
87
5
FINAL
REMARKS
AND
CONCLUSIONS
93 |
| any_adam_object | 1 |
| author | Timmermann, Gisela 1972- |
| author_GND | (DE-588)121054144 |
| author_facet | Timmermann, Gisela 1972- |
| author_role | aut |
| author_sort | Timmermann, Gisela 1972- |
| author_variant | g t gt |
| building | Verbundindex |
| bvnumber | BV012593750 |
| classification_tum | MAT 667d |
| ctrlnum | (OCoLC)634224858 (DE-599)BVBBV012593750 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV012593750 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-16T00:12:38Z |
| institution | BVB |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008552097 |
| oclc_num | 634224858 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-706 |
| owner_facet | DE-91 DE-BY-TUM DE-706 |
| physical | VII, 97 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| record_format | marc |
| spelling | Timmermann, Gisela 1972- Verfasser (DE-588)121054144 aut Cascadic algorithms for two classes of nonlinear elliptic boundary value problems von Gisela Timmermann 1999 VII, 97 S. txt rdacontent n rdamedia nc rdacarrier Dresden, Techn. Univ., Diss., 1999 Elliptisches Randwertproblem (DE-588)4193399-0 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Newton-Verfahren (DE-588)4171693-0 gnd rswk-swf Nichtlineares Randwertproblem (DE-588)4129830-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elliptisches Randwertproblem (DE-588)4193399-0 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Nichtlineares Randwertproblem (DE-588)4129830-5 s Finite-Elemente-Methode (DE-588)4017233-8 s Newton-Verfahren (DE-588)4171693-0 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008552097&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Timmermann, Gisela 1972- Cascadic algorithms for two classes of nonlinear elliptic boundary value problems Elliptisches Randwertproblem (DE-588)4193399-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Newton-Verfahren (DE-588)4171693-0 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| subject_GND | (DE-588)4193399-0 (DE-588)4017233-8 (DE-588)4128130-5 (DE-588)4171693-0 (DE-588)4129830-5 (DE-588)4113937-9 |
| title | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems |
| title_auth | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems |
| title_exact_search | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems |
| title_full | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems von Gisela Timmermann |
| title_fullStr | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems von Gisela Timmermann |
| title_full_unstemmed | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems von Gisela Timmermann |
| title_short | Cascadic algorithms for two classes of nonlinear elliptic boundary value problems |
| title_sort | cascadic algorithms for two classes of nonlinear elliptic boundary value problems |
| topic | Elliptisches Randwertproblem (DE-588)4193399-0 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Newton-Verfahren (DE-588)4171693-0 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| topic_facet | Elliptisches Randwertproblem Finite-Elemente-Methode Numerisches Verfahren Newton-Verfahren Nichtlineares Randwertproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008552097&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT timmermanngisela cascadicalgorithmsfortwoclassesofnonlinearellipticboundaryvalueproblems |