Simulation with cellular automata:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin
Logos
1997
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 189 - 199 |
| Beschreibung: | VIII, 199 S. Ill., graph. Darst. |
| ISBN: | 3897220261 |
Internformat
MARC
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| 100 | 1 | |a Weimar, Jörg R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Simulation with cellular automata |c Jörg R. Weimar |
| 264 | 1 | |a Berlin |b Logos |c 1997 | |
| 300 | |a VIII, 199 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturverz. S. 189 - 199 | ||
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Cellular automata | |
| 650 | 4 | |a Mathematical models | |
| 650 | 0 | 7 | |a Zellularer Automat |0 (DE-588)4190671-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Computersimulation |0 (DE-588)4148259-1 |2 gnd |9 rswk-swf |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008144943 | |
Datensatz im Suchindex
| _version_ | 1809768478613176320 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
INFORMAL
DEFINITION
OF
CA
.
3
1.2
SIMPLE
EXAMPLE
.
4
1.3
FORMAL
DEFINITION
.
6
1.4
EXERCISES
.
7
2
CHOICES
IN
THE
CONSTRUCTION
OF
CA
9
2.1
LATTICE
GEOMETRY
.
9
2.1.1
ONE
DIMENSION
.
9
2.1.2
TWO
DIMENSIONS
.
10
2.1.3
THREE
DIMENSIONS
.
17
2.2
NEIGHBORHOOD
SIZE
.
18
2.3
BOUNDARY
CONDITIONS
.
20
2.4
INITIAL
CONDITIONS
.
24
2.5
STATE
SET
.
26
2.6
TRANSITION
RULE
.
32
2.6.1
DIRECT
SPECIFICATION
.
32
2.6.2
SMALL
CHANGE
IN
THE
RULE
TABLE
.
35
2.6.3
TOTALISTIC
RULES
.
36
2.6.4
IMPLICIT
SPECIFICATION
.
37
2.6.5
MULTI-STEP
RULES
.
37
2.6.6
PROBABILISTIC
RULES
.
38
2.7
REVERSIBLE
CA
.
41
VI
CONTENTS
2.7.1
PARTITIONED
CELLULAR
AUTOMATA
.
42
2.7.2
BLOCK
CELLULAR
AUTOMATA
.
45
2.8
SUMMARY
OF
CONSTRUCTION
CHOICES
.
46
2.9
EXERCISES
.
47
3
HARDWARE
AND
SOFTWARE
53
3.1
HARDWARE
INSPIRED
BY
CA:
CONNECTION
MACHINE
.
54
3.2
HARDWARE
FOR
CA:
CAM-8,
CEPRA
.
57
3.3
SPECIAL
CA
LANGUAGES
.
61
3.4
SIMULATING
CA
IN
MATHEMATICA
.
67
3.5
CODING
ALTERNATIVES
.
69
3.6
EXERCISES
.
77
4
TRAFFIC
SIMULATION
79
4.1
BINARY
MODEL
.
79
4.2
MULTI-SPEED
MODEL
.
85
4.3
CITY
TRAFFIC
.
89
4.4
EXERCISES
.
90
5
PLANT
POPULATIONS
IN
FENS
91
5.1
BASIC
MODEL
.
91
5.2
COMBINED
MODEL
.
95
5.3
AVERAGE
WETNESS
.
96
5.4
EXERCISES
.
99
6
REACTION-DIFFUSION
SYSTEMS
101
6.1
PARTICLE-DIFFUSION
.
103
6.2
PARTICLE-REACTION
.
110
6.3
MOVING
AVERAGE
FOR
DIFFUSION
.
118
6.4
REACTIVE
STEP
FOR
MOVING
AVERAGE
CA
.
121
6.4.1
DISCRETIZATION
OPERATORS
.
123
6.5
EXAMPLES
OF
MOVING
AVERAGE
CA
.
134
6.5.1
SCHLBGL
MODEL
.
134
6.5.2
COMPLEX
GINZBURG-LANDAU
EQUATION
.
.
.
139
CONTENTS
VII
6.5.3
FITZHUGH-NAGUMO
MODEL,
EXCITABLE
MEDIAL41
6.5.4
GRAY-SCOTT
MODEL
.
147
6.6
THREE-DIMENSIONAL
CA
.
149
6.7
PARALLEL
IMPLEMENTATION
.
155
6.8
SUMMARY
.
157
6.9
EXERCISES
.
157
7
LATTICE
GAS
AUTOMATA
161
7.1
BASIC
LATTICE
GAS
AUTOMATA
.
161
7.2
EXAMPLE
FLOW
SIMULATION
.
166
7.3
MATHEMATICAL
ANALYSIS
.
170
7.3.1
MICROSCOPIC
DESCRIPTION
.
170
7.3.2
MACROSCOPIC
EQUATIONS
.
172
7.3.3
EQUILIBRIUM
.
175
7.4
EXTENSIONS
.
180
7.4.1
POROUS
MEDIA
.
180
7.4.2
THREE
DIMENSIONS
.
181
7.4.3
TEMPERATURE
.
183
7.4.4
MULTI-PHASE
FLOW
.
183
7.5
LATTICE
BOLTZMANN
METHODS
.
184
7.6
SUMMARY
.
186
7.7
EXERCISES
.
186
BIBLIOGRAPHY
189 |
| any_adam_object | 1 |
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| author_facet | Weimar, Jörg R. |
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| id | DE-604.BV012036293 |
| illustrated | Illustrated |
| indexdate | 2024-09-10T00:55:15Z |
| institution | BVB |
| isbn | 3897220261 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008144943 |
| oclc_num | 722585425 |
| open_access_boolean | |
| owner | DE-739 DE-29T DE-522 |
| owner_facet | DE-739 DE-29T DE-522 |
| physical | VIII, 199 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Logos |
| record_format | marc |
| spelling | Weimar, Jörg R. Verfasser aut Simulation with cellular automata Jörg R. Weimar Berlin Logos 1997 VIII, 199 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 189 - 199 Mathematisches Modell Cellular automata Mathematical models Zellularer Automat (DE-588)4190671-8 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Zellularer Automat (DE-588)4190671-8 s Computersimulation (DE-588)4148259-1 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008144943&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weimar, Jörg R. Simulation with cellular automata Mathematisches Modell Cellular automata Mathematical models Zellularer Automat (DE-588)4190671-8 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4190671-8 (DE-588)4148259-1 |
| title | Simulation with cellular automata |
| title_auth | Simulation with cellular automata |
| title_exact_search | Simulation with cellular automata |
| title_full | Simulation with cellular automata Jörg R. Weimar |
| title_fullStr | Simulation with cellular automata Jörg R. Weimar |
| title_full_unstemmed | Simulation with cellular automata Jörg R. Weimar |
| title_short | Simulation with cellular automata |
| title_sort | simulation with cellular automata |
| topic | Mathematisches Modell Cellular automata Mathematical models Zellularer Automat (DE-588)4190671-8 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Mathematisches Modell Cellular automata Mathematical models Zellularer Automat Computersimulation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008144943&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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