Inexact Gauss Newton methods for parameter dependent nonlinear problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
1993
|
| Schriftenreihe: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report
1993,13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 118 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Inexact Gauss Newton methods for parameter dependent nonlinear problems |c Andreas Hohmann |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationstechnik |c 1993 | |
| 300 | |a IV, 118 S. |b graph. Darst. | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |v 1993,13 | |
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| 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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Datensatz im Suchindex
| _version_ | 1807503062384771072 |
|---|---|
| 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
11
2.1
AFFINE
INVARIANT
APPROACH
.
11
2.2
AFFINE
CONTRAVARIANT
APPROACH
.
14
2.3
EXAMPLE:
STEPSIZE
BOUNDS
FOR
IMPLICIT
DISCRETIZATION
METHODS
16
3
I
NEXACT
N
EWTON
M
ETHODS
21
3.1
AFFINE
INVARIANT
APPROACH
.
22
3.2
AFFINE
CONTRAVARIANT
APPROACH
.
26
3.3
EXAMPLE:
ACCURACY
MATCHING
FOR
MULTIPLE
SHOOTING
.
30
4
S
TEPSIZE
C
ONTROL
FOR
C
ONTINUATION
M
ETHODS
35
II.
A
DAPTIVE
M
ULTILEVEL
N
EWTON
H
-
P
C
OLLOCATION
39
5
G
LOBAL
I
NTEGRAL
F
ORMULATIONS
FOR
BVP
S
42
5.1
VOLTERRA
FORMULATION
.
43
5.2
FREDHOLM
FORMULATION
.
46
5.3
PARAMETER
DEPENDENT
PROBLEMS
.
51
6
C
OLLOCATION
:
V
OLTERRA
A
PPROACH
54
6.1
RUNGE
KUTTA
SCHEMES
OF
COLLOCATION
TYPE
.
55
6.2
LOCAL
COLLOCATION
.
59
6.3
GLOBAL
COLLOCATION
.
60
7
C
OLLOCATION
:
F
REDHOLM
A
PPROACH
63
7.1
COLLOCATION
SCHEMES
.
65
7.2
LOCAL
COLLOCATION
.
67
7.3
GLOBAL
COLLOCATION
.
69
IV
CONTENTS
8
A
DAPTIVITY
I
SSUES
73
8.1
RESIDUAL
ESTIMATION
.
73
8.2
H-P
STRATEGY
.
78
8.3
MULTILEVEL
NEWTON
METHOD
.
82
III.
I
MPLEMENTATION
AND
N
UMERICAL
E
XAMPLES
86
9
O
BJECT
O
RIENTED
I
MPLEMENTATION
86
10
I
LLUSTRATIVE
E
XAMPLES
92
11
L
IMIT
C
YCLES
OF
A
R
AILWAY
B
OGIE
97
C
ONCLUSIONS
108
S
YMBOLS
110
R
EFERENCES
112 |
| 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 | BV009231043 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)75416152 (DE-599)BVBBV009231043 |
| discipline | Mathematik |
| format | Book |
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| genre | 1\p (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV009231043 |
| illustrated | Illustrated |
| indexdate | 2024-08-16T00:47:26Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006139423 |
| oclc_num | 75416152 |
| open_access_boolean | |
| owner | DE-12 DE-634 |
| owner_facet | DE-12 DE-634 |
| physical | IV, 118 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| spelling | Hohmann, Andreas 1953- Verfasser (DE-588)110521102 aut Inexact Gauss Newton methods for parameter dependent nonlinear problems Andreas Hohmann Berlin Konrad-Zuse-Zentrum für Informationstechnik 1993 IV, 118 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1993,13 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 1\p (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 Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1993,13 (DE-604)BV005567559 1993,13 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006139423&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hohmann, Andreas 1953- Inexact Gauss Newton methods for parameter dependent nonlinear problems Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 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 | Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Newton-Verfahren (DE-588)4171693-0 gnd Nichtlineares Randwertproblem (DE-588)4129830-5 gnd |
| topic_facet | 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=006139423&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005567559 |
| work_keys_str_mv | AT hohmannandreas inexactgaussnewtonmethodsforparameterdependentnonlinearproblems |