The CADSOL program package: (version 1.1)
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Karlsruhe
1992
|
| Schriftenreihe: | Universität <Karlsruhe> / Rechenzentrum: Interner Bericht
46 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 141 - 145 |
| Beschreibung: | III, 149 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
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| 001 | BV010635508 | ||
| 003 | DE-604 | ||
| 005 | 19960806 | ||
| 007 | t| | ||
| 008 | 960219s1992 gw d||| |||| 00||| ger d | ||
| 016 | 7 | |a 946560846 |2 DE-101 | |
| 035 | |a (OCoLC)75699477 | ||
| 035 | |a (DE-599)BVBBV010635508 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a ger | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-12 | ||
| 100 | 1 | |a Schmauder, Matthias |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The CADSOL program package |b (version 1.1) |c authors: Matthias Schmauder ; Rüdiger Weiss ; Willi Schönauer |
| 264 | 1 | |a Karlsruhe |c 1992 | |
| 300 | |a III, 149 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Universität <Karlsruhe> / Rechenzentrum: Interner Bericht |v 46 | |
| 500 | |a Literaturverz. S. 141 - 145 | ||
| 700 | 1 | |a Weiss, Rüdiger |e Verfasser |4 aut | |
| 700 | 1 | |a Schönauer, Willi |e Verfasser |4 aut | |
| 810 | 2 | |a Rechenzentrum: Interner Bericht |t Universität <Karlsruhe> |v 46 |w (DE-604)BV005621659 |9 46 | |
| 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=007095245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007095245 | |
Datensatz im Suchindex
| _version_ | 1816443384629297152 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
2
2
THE
THEORETICAL
BACKGROUND
OF
CADSOL
5
2.1
PRELIMINARY
REMARKS
.
5
2.2
THE
GENERATION
OF
DIFFERENCE
FORMULAS
.
9
YYYY
2.2.1
DIFFERENCE
FORMULAS
IN
SPACE
DIRECTION
.
9
2.2.2
DIFFERENCE
FORMULAS
IN
INITIAL-VALUE
(TIME)
DIRECTION
.
11
2.3
THE
GAUSS-JORDAN
ALGORITHM
.
12
2.4
GRID
GENERATION
.
12
2.5
THE
GENERATION
OF
THE
DIFFERENCE
STARS
.
16
2.5.1
DIFFERENCE
STARS
AT
THE
BOUNDARY
.
19
2.5.2
DIFFERENCE
STARS
FOR
DOMAINS
WITH
DIVIDING
LINES
.
20
2.5.3
DIFFERENCE
STARS
FOR
DOMAINS
WITH
PERIODIC
BOUNDARIES
.
20
2.5.4
DIFFERENCE
STARS
FOR
DOMAINS
WITH
SINGULARITIES
OF
THE
SOLUTION
.
22
2.5.5
THE
RHOMB
OF
ALL
POSSIBLE
POINTS
OF
A
DIFFERENCE
STAR
.
23
2.5.6
DIFFERENCE
"
STARS
"
IN
TIME
DIRECTION
.
23
2.6
INITIAL
SOLUTION
OF
THE
NEWTON-RAPHSON
METHOD
.
23
2.7
THE
LARGE
LINEAR
EQUATION
SYSTEM
.
24
2.7.1
THE
DISCRETIZED
NEWTON
DEFECT
(PU)A
.
24
2.7.2
THE
DISCRETIZED
NEWTON
CORRECTION
&UP
U
.
25
2.7.3
THE
DISCRETIZED
JACOBIAN
MATRICES
.
26
2.7.4
THE
HIGHLY
SPARSE
MATRIX
QD
.
27
2.8
THE
CADSOL
ERROR
ESTIMATION
.
30
2.8.1
THE
DISCRETIZATION
ERROR
IN
SPACE
DIRECTION
.
30
2.8.2
THE
DISCRETIZATION
ERROR
IN
TIME
DIRECTION
.
31
2.8.3
THE
ERROR
EQUATION
.
31
2.8.4
MESSAGES
FROM
THE
OUTPUT
.
33
2.9
THE
NEWTON-RAPHSON
METHOD
.
1
.
34
2.9.1
THE
NORMS
USED
IN
THIS
SECTION
.
39
3
THE
VERSIONS
OF
CADSOL
40
3.1
THE
CADSOL
VERSION
WITH
DIVIDING
LINES
.
40
3.1.1
THE
COUPLING
CONDITIONS
AT
THE
DIVIDING
LINES
.
43
II
CONTENTS
3.1.2
THE
MATRIX
Q
IN
THE
CASE
OF
DIVIDING
LINES
.
43
3.2
THE
CADSOL
VERSION
FOR
PARABOLIC
PROBLEMS
.
46
3.3
PARABOLIC
PROBLEMS
WITH
DIVIDING
LINES
.
51
3.4
THE
CADSOL
VERSION
FOR
PROBLEMS
WITH
SINGULARITIES
.
52
3.5
THE
CADSOL
VERSION
WITH
PERIODIC
BOUNDARIES
.
53
4
SOME
CADSOL
FEATURES
55
4.1
RESTART
.
55
4.2
THE
SUBROUTINES
.
55
4.3
THE
PACKED
STORING
OF
THE
MATRIX
.
56
5
LINSOL 59
5.1
INTRODUCTION
.
59
5.2
MATRIX-VECTOR
MULTIPLICATION
.
60
5.3
GENERALIZED
CONJUGATE
GRADIENT
METHODS
.
61
5.3.1
FORMULATION
OF
THE
GENERALIZED
CG
METHODS
.
61
5.3.2
THE
SMOOTHING
ALGORITHM
.
63
5.3.3
CLASSICAL
CG
METHOD
.
64
5.3.4
PRES20
.
65
5.3.5
BICO
.
66
5.3.6
AT-PRES
.
68
5.3.7
BIORTH
.
68
5.3.8
CGS
.
69
5.3.9
BI-CGSTAB
.
70
5.4
THE
POLYALGORITHMS
IN
LINSOL
.
71
5.5
THE
NORMALIZATION
OF
THE
LINEAR
SYSTEM
.
72
5.6
THE
STOPPING
CRITERION
.
73
5.7
THE
ACCURACY
DEMAND
FOR
LINSOL
.
73
5.8
THE
OUTPUT
.
75
6
EXAMPLES
77
6.1
EXAMPLE
1
.
77
6.2
EXAMPLE
2
.
82
6.3
EXAMPLE
3
.
84
6.4
EXAMPLE
4
.
87
6.5
EXAMPLE
5
.
88
6.6
EXAMPLE
6
.
91
7
MODULARIZATION
AND
VECTORIZATION
OF
CADSOL
94
8
NOTES
TO
THE
USE
OF
CADSOL
101
8.1
TESTING
OF
THE
PROGRAM
.
101
8.2
TESTING
THE
JACOBIAN
MATRICES
.
103
CONTENTS
III
APPENDICES:
A
CHANGING
OF
INTERNAL
PARAMETERS
106
A.L
THE
STOPPING
CRITERION
FOR
THE
NEWTON-RAPHSON
METHOD
.
106
A.2
THE
STOPPING
CRITERION
FOR
LINSOL
.
107
A.3
SPECIAL
LINSOL
METHOD
SELECTION
FOR
THE
ERROR
ESTIMATION
.
107
B
ERROR
MESSAGES
108
C
CADSOL
SUBROUTINE
SURVEY
113
D
FILE
ORGANIZATION
134
BIBLIOGRAPHY
141
INDEX
146 |
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| author | Schmauder, Matthias Weiss, Rüdiger Schönauer, Willi |
| author_facet | Schmauder, Matthias Weiss, Rüdiger Schönauer, Willi |
| author_role | aut aut aut |
| author_sort | Schmauder, Matthias |
| author_variant | m s ms r w rw w s ws |
| building | Verbundindex |
| bvnumber | BV010635508 |
| ctrlnum | (OCoLC)75699477 (DE-599)BVBBV010635508 |
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| illustrated | Illustrated |
| indexdate | 2024-11-22T17:10:01Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007095245 |
| oclc_num | 75699477 |
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| owner_facet | DE-12 |
| physical | III, 149 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series2 | Universität <Karlsruhe> / Rechenzentrum: Interner Bericht |
| spelling | Schmauder, Matthias Verfasser aut The CADSOL program package (version 1.1) authors: Matthias Schmauder ; Rüdiger Weiss ; Willi Schönauer Karlsruhe 1992 III, 149 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universität <Karlsruhe> / Rechenzentrum: Interner Bericht 46 Literaturverz. S. 141 - 145 Weiss, Rüdiger Verfasser aut Schönauer, Willi Verfasser aut Rechenzentrum: Interner Bericht Universität <Karlsruhe> 46 (DE-604)BV005621659 46 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007095245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmauder, Matthias Weiss, Rüdiger Schönauer, Willi The CADSOL program package (version 1.1) |
| title | The CADSOL program package (version 1.1) |
| title_auth | The CADSOL program package (version 1.1) |
| title_exact_search | The CADSOL program package (version 1.1) |
| title_full | The CADSOL program package (version 1.1) authors: Matthias Schmauder ; Rüdiger Weiss ; Willi Schönauer |
| title_fullStr | The CADSOL program package (version 1.1) authors: Matthias Schmauder ; Rüdiger Weiss ; Willi Schönauer |
| title_full_unstemmed | The CADSOL program package (version 1.1) authors: Matthias Schmauder ; Rüdiger Weiss ; Willi Schönauer |
| title_short | The CADSOL program package |
| title_sort | the cadsol program package version 1 1 |
| title_sub | (version 1.1) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007095245&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005621659 |
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