Multicycle generalization of relaxation based algorithms for circuit and system simulation:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
München ; Wien
Oldenbourg
1997
|
| Series: | GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte
282 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 156 S. graph. Darst. |
| ISBN: | 3486243349 |
Staff View
MARC
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| 100 | 1 | |a Dmitriev-Zdorov, Vladimir B. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Multicycle generalization of relaxation based algorithms for circuit and system simulation |c Vladimir B. Dmitriev-Zdorov. GMD-Forschungszentrum Informationstechnik GmbH |
| 264 | 1 | |a München ; Wien |b Oldenbourg |c 1997 | |
| 300 | |a 156 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte |v 282 | |
| 650 | 4 | |a Algorithms | |
| 650 | 4 | |a Convergence | |
| 650 | 4 | |a Decomposition (Mathematics) | |
| 650 | 4 | |a Electric circuits |x Computer simulation | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 4 | |a Relaxation methods (Mathematics) | |
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Record in the Search Index
| _version_ | 1805067831932354560 |
|---|---|
| adam_text |
CONTENTS
1.
INTRODUCTION
1
2.
RELAXATION-BASED
TECHNIQUES
AND
THE
CONVERGENCE
PROBLEM
5
2.1.
DIRECT
AND
RELAXATION-BASED
ALGORITHMS
FOR
CIRCUIT
ANALYSIS
.
5
2.2.
SOLUTION
OF
ALGEBRAIC
EQUATIONS
BY
RELAXATION
METHODS
.
10
2.3.
RELAXATION-BASED
METHODS
TO
SOLVE
THE
DYNAMIC
CIRCUIT
EQUATIONS
.
16
2.4.
THE
WAYS
TO
ACCELERATE
THE
CONVERGENCE
OF
RELAXATION-BASED
METHODS
AND
POSITIONING
THE
PROBLEM
.
24
3.
THE
CONSTRUCTION
OF
MULTICYCLE
ITERATIVE
ALGORITHM
TO
SOLVE
LINEAR
SYSTEMS
OF
CIRCUIT
EQUATIONS
29
3.1.
MULTICYCLE
GENERALIZATION
OF
A
BASIC
ITERATIVE
ALGORITHM
.
29
3.2.
MULTICYCLE
ITERATIVE
ALGORITHM
WITH
DAMPING
.
35
3.3.
THE
CANONICAL
FORM
OF
MULTICYCLE
ITERATIVE
ALGORITHM
AND
ITS
EQUIVALENT
CIRCUIT
REPRESENTATION
.
43
3.4.
SUMMARY
.
50
4.
IMPLEMENTATION
OF
MULTICYCLE
ITERATIVE
ALGORITHMS
52
4.1.
MIA
WITH
FIXED
NUMBER
OF
INTERNAL
ITERATIONS
.
52
4.2.
OPTIMIZATION
OF
MIA
FOR
THE
TOTAL
NUMBER
OF
ITERATIONS
.
58
4.3.
DISPLACED
AND
NONDISPLACED
MIA
.
63
4.4.
SUMMARY
.
77
5.
MULTICYCLE
ITERATIVE
ALGORITHMS
FOR
NONLINEAR
CIRCUIT
ANALYSIS
79
5.1.
THE
CANONICAL
STRUCTURE
OF
MIA
IN
NONLINEAR
CASE
.
79
5.2.
CONVERGENCE
OF
MIA
APPLIED
TO
A
SYSTEM
OF
NONLINEAR
ALGEBRAIC
EQUATIONS
.
83
5.3.
EXAMPLES
OF
MIA'S
APPLICATION
TO
NONLINEAR
CIRCUIT
ANALYSIS.
85
5.4.
SUMMARY
.
92
6.
MULTICYCLE
GENERALIZATION
OF
WAVEFORM
RELAXATION
METHOD
93
6.1.
THE
CANONICAL
DESCRIPTION
OF
THE
MULTICYCLE
WAVEFORM
RELAXATION
(MWR)
ITERATIONS
.
93
6.2.
THE
CONVERGENCE
OF
THE
MULTICYCLE
WAVEFORM
RELAXATION
METHOD
.
101
6.3.
EXAMPLES
OF
MWR
APPLIED
TO
THE
TRANSIENT
CIRCUIT
ANALYSIS.
104
6.4.
SUMMARY
.
109
7.
THE
MULTICYCLE
AND
THE
MODIFIED
COUPLING
APPROACH
IN
CIRCUIT
AND
SYSTEM
SIMULATION
112
7.1.
THE
MULTICYCLE
TECHNIQUES
AND
THE
COUPLING
PATTERNS
.
112
7.2.
THE
USE
OF
/-TYPE
COUPLING
PATTERNS
IN
THE
DECOMPOSED
CIRCUIT
.
112
7.3.
GENERALIZED
COUPLING
AND
SUPPRESSING
THE
LOCAL
FEEDBACK
IN
THE
DECOMPOSED
CIRCUIT
.
126
7.4.
GENERALIZED
COUPLING
AND
THE
MULTICYCLE
APPROACH
IN
THE
MIXED
SYSTEM
SIMULATION
.
139
7.5.
SUMMARY
.
147
8.
CONCLUSION
148
REFERENCES
150 |
| any_adam_object | 1 |
| author | Dmitriev-Zdorov, Vladimir B. |
| author_facet | Dmitriev-Zdorov, Vladimir B. |
| author_role | aut |
| author_sort | Dmitriev-Zdorov, Vladimir B. |
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| building | Verbundindex |
| bvnumber | BV011385871 |
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| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 210 ST 340 |
| classification_tum | DAT 195f |
| ctrlnum | (OCoLC)39538542 (DE-599)BVBBV011385871 |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV011385871 |
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| indexdate | 2024-07-20T03:40:28Z |
| institution | BVB |
| isbn | 3486243349 |
| language | German |
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| physical | 156 S. graph. Darst. |
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| series2 | GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte |
| spelling | Dmitriev-Zdorov, Vladimir B. Verfasser aut Multicycle generalization of relaxation based algorithms for circuit and system simulation Vladimir B. Dmitriev-Zdorov. GMD-Forschungszentrum Informationstechnik GmbH München ; Wien Oldenbourg 1997 156 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte 282 Algorithms Convergence Decomposition (Mathematics) Electric circuits Computer simulation Iterative methods (Mathematics) Relaxation methods (Mathematics) Logische Schaltung (DE-588)4131023-8 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Netzwerkanalyse (DE-588)4075298-7 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf 1\p (DE-588)4155043-2 Forschungsbericht gnd-content Logische Schaltung (DE-588)4131023-8 s Simulation (DE-588)4055072-2 s Algorithmus (DE-588)4001183-5 s DE-604 Netzwerkanalyse (DE-588)4075298-7 s 2\p DE-604 GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte 282 (DE-604)BV010701409 282 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652646&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dmitriev-Zdorov, Vladimir B. Multicycle generalization of relaxation based algorithms for circuit and system simulation GMD-Forschungszentrum Informationstechnik <Sankt Augustin>: GMD-Berichte Algorithms Convergence Decomposition (Mathematics) Electric circuits Computer simulation Iterative methods (Mathematics) Relaxation methods (Mathematics) Logische Schaltung (DE-588)4131023-8 gnd Simulation (DE-588)4055072-2 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4131023-8 (DE-588)4055072-2 (DE-588)4075298-7 (DE-588)4001183-5 (DE-588)4155043-2 |
| title | Multicycle generalization of relaxation based algorithms for circuit and system simulation |
| title_auth | Multicycle generalization of relaxation based algorithms for circuit and system simulation |
| title_exact_search | Multicycle generalization of relaxation based algorithms for circuit and system simulation |
| title_full | Multicycle generalization of relaxation based algorithms for circuit and system simulation Vladimir B. Dmitriev-Zdorov. GMD-Forschungszentrum Informationstechnik GmbH |
| title_fullStr | Multicycle generalization of relaxation based algorithms for circuit and system simulation Vladimir B. Dmitriev-Zdorov. GMD-Forschungszentrum Informationstechnik GmbH |
| title_full_unstemmed | Multicycle generalization of relaxation based algorithms for circuit and system simulation Vladimir B. Dmitriev-Zdorov. GMD-Forschungszentrum Informationstechnik GmbH |
| title_short | Multicycle generalization of relaxation based algorithms for circuit and system simulation |
| title_sort | multicycle generalization of relaxation based algorithms for circuit and system simulation |
| topic | Algorithms Convergence Decomposition (Mathematics) Electric circuits Computer simulation Iterative methods (Mathematics) Relaxation methods (Mathematics) Logische Schaltung (DE-588)4131023-8 gnd Simulation (DE-588)4055072-2 gnd Netzwerkanalyse (DE-588)4075298-7 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algorithms Convergence Decomposition (Mathematics) Electric circuits Computer simulation Iterative methods (Mathematics) Relaxation methods (Mathematics) Logische Schaltung Simulation Netzwerkanalyse Algorithmus Forschungsbericht |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007652646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010701409 |
| work_keys_str_mv | AT dmitrievzdorovvladimirb multicyclegeneralizationofrelaxationbasedalgorithmsforcircuitandsystemsimulation |