Inexact Gauss Newton methods for parameter dependent nonlinear problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
1994
|
| Schriftenreihe: | Berichte aus der Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 4, 119 S. Ill., graph. Darst. |
| ISBN: | 3826500482 |
Internformat
MARC
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| 100 | 1 | |a Hohmann, Andreas |d 1953- |e Verfasser |0 (DE-588)110521102 |4 aut | |
| 245 | 1 | 0 | |a Inexact Gauss Newton methods for parameter dependent nonlinear problems |c Andreas Hohmann |
| 264 | 1 | |a Aachen |b Shaker |c 1994 | |
| 300 | |a 4, 119 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Mathematik | |
| 502 | |a Zugl.: Berlin, Freie Univ., Diss., 1994 | ||
| 650 | 4 | |a Gaussian quadrature formulas | |
| 650 | 4 | |a Newton-Raphson method | |
| 650 | 4 | |a Nonlinear theories | |
| 650 | 0 | 7 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |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 |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Gewöhnliche Differentialgleichung |0 (DE-588)4020929-5 |D s |
| 689 | 0 | 1 | |a Nichtlineares Randwertproblem |0 (DE-588)4129830-5 |D s |
| 689 | 0 | 2 | |a Newton-Verfahren |0 (DE-588)4171693-0 |D s |
| 689 | 0 | |5 DE-188 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006406025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006406025 | |
Datensatz im Suchindex
| _version_ | 1807321120834060288 |
|---|---|
| adam_text |
C
ONTENTS
I
NTRODUCTION
1
I.
N
EWTON
'
S
M
ETHOD
7
1
I
NVARIANCE
P
ROPERTIES
8
2
E
XACT
N
EWTON
M
ETHODS
10
2.1
AFFINE
INVARIANT
APPROACH
.
10
2.2
AFFINE
CONTRAVARIANT
APPROACH
.
13
2.3
EXAMPLE:
STEPSIZE
BOUNDS
FOR
IMPLICIT
DISCRETIZATION
METHODS
17
3
I
NEXACT
N
EWTON
M
ETHODS
21
3.1
AFFINE
INVARIANT
APPROACH
.
23
3.2
AFFINE
CONTRAVARIANT
APPROACH
.
27
3.3
EXAMPLE:
ACCURACY
MATCHING
FOR
MULTIPLE
SHOOTING
.
31
4
S
TEPSIZE
C
ONTROL
FOR
C
ONTINUATION
M
ETHODS
35
II.
A
DAPTIVE
M
ULTILEVEL
N
EWTON
H
-
P
C
OLLOCATION
40
5
G
LOBAL
I
NTEGRAL
F
ORMULATIONS
FOR
BVP
S
43
5.1
VOLTERRA
FORMULATION
.
44
5.2
FREDHOLM
FORMULATION
.
47
5.3
PARAMETER
DEPENDENT
PROBLEMS
.
52
6
C
OLLOCATION
:
V
OLTERRA
A
PPROACH
,
55
6.1
RUNGE
KUTTA
SCHEMES
OF
COLLOCATION
TYPE
.
56
6.2
LOCAL
COLLOCATION
.
60
6.3
GLOBAL
COLLOCATION
.
61
7
C
OLLOCATION
:
F
REDHOLM
A
PPROACH
64
7.1
COLLOCATION
SCHEMES
.
66
7.2
LOCAL
COLLOCATION
.
68
7.3
GLOBAL
COLLOCATION
.
70
4
CONTENTS
8
A
DAPTIVITY
I
SSUES
74
8.1
RESIDUAL
ESTIMATION
.
74
8.2
H-P
STRATEGY
.
79
8.3
MULTILEVEL
NEWTON
METHOD
.
83
III.
I
MPLEMENTATION
AND
N
UMERICAL
E
XAMPLES
87
9
O
BJECT
O
RIENTED
I
MPLEMENTATION
87
10
I
LLUSTRATIVE
E
XAMPLES
93
11
L
IMIT
C
YCLES
OF
A
R
AILWAY
B
OGIE
98
C
ONCLUSIONS
109
S
YMBOLS
111
R
EFERENCES
113 |
| any_adam_object | 1 |
| author | Hohmann, Andreas 1953- |
| author_GND | (DE-588)110521102 |
| author_facet | Hohmann, Andreas 1953- |
| author_role | aut |
| author_sort | Hohmann, Andreas 1953- |
| author_variant | a h ah |
| building | Verbundindex |
| bvnumber | BV009686527 |
| callnumber-first | Q - Science |
| callnumber-label | QA297 |
| callnumber-raw | QA297.8 |
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| callnumber-sort | QA 3297.8 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)31925446 (DE-599)BVBBV009686527 |
| dewey-full | 519.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.4 |
| dewey-search | 519.4 |
| dewey-sort | 3519.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV009686527 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:35:33Z |
| institution | BVB |
| isbn | 3826500482 |
| language | English |
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| physical | 4, 119 S. Ill., graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Hohmann, Andreas 1953- Verfasser (DE-588)110521102 aut Inexact Gauss Newton methods for parameter dependent nonlinear problems Andreas Hohmann Aachen Shaker 1994 4, 119 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Berlin, Freie Univ., Diss., 1994 Gaussian quadrature formulas Newton-Raphson method Nonlinear theories Gewöhnliche Differentialgleichung (DE-588)4020929-5 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 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Nichtlineares Randwertproblem (DE-588)4129830-5 s Newton-Verfahren (DE-588)4171693-0 s DE-188 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006406025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hohmann, Andreas 1953- Inexact Gauss Newton methods for parameter dependent nonlinear problems Gaussian quadrature formulas Newton-Raphson method Nonlinear theories Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Newton-Verfahren (DE-588)4171693-0 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4171693-0 (DE-588)4129830-5 (DE-588)4113937-9 |
| title | Inexact Gauss Newton methods for parameter dependent nonlinear problems |
| title_auth | Inexact Gauss Newton methods for parameter dependent nonlinear problems |
| title_exact_search | Inexact Gauss Newton methods for parameter dependent nonlinear problems |
| title_full | Inexact Gauss Newton methods for parameter dependent nonlinear problems Andreas Hohmann |
| title_fullStr | Inexact Gauss Newton methods for parameter dependent nonlinear problems Andreas Hohmann |
| title_full_unstemmed | Inexact Gauss Newton methods for parameter dependent nonlinear problems Andreas Hohmann |
| title_short | Inexact Gauss Newton methods for parameter dependent nonlinear problems |
| title_sort | inexact gauss newton methods for parameter dependent nonlinear problems |
| topic | Gaussian quadrature formulas Newton-Raphson method Nonlinear theories Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Newton-Verfahren (DE-588)4171693-0 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| topic_facet | Gaussian quadrature formulas Newton-Raphson method Nonlinear theories Gewöhnliche Differentialgleichung Newton-Verfahren Nichtlineares Randwertproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006406025&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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