Using Petri nets to parallelize algebraic algorithms:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Kaiserslautern
2019
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | ix, 157 Seiten Illustrationen, Diagramme |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Contents List of Figures v List of Tables vii List of Algorithms ix Introduction 1 List of Contributions 5 1. Mathematicalbackground 7 1.1. Regularity and Smoothness.......................................................................... 1.2. Blowing up...................................................................................................... 1.3. Resolutions of singularities............................................................................. 2. Petri nets 2.1. General concepts............................................................................................ 2.2. Extensions......................................................................................................... 2.2.1. Colored Petrinets.............................................................................. 2.2.2. Time in Petrinets.............................................................................. 2.2.3. Further extensions............................................................................. 2.3. Examples: Chinese Remainder Theorem.................................................... 3. Parallelization 3.1. Fundamentals of Parallelization.................................................................... 3.1.1. Moore’s Law...................................................................................... 3.1.2. Scalability............................................................................................ 3.2. GPI-Space......................................................................................................... 3.3.
Patterns............................................................................................................ 3.4. Singular............................................................................................................ 3.5. Singular and GPI-Space................................................................................ 4. A Hybrid Smoothness test 4.1. Mathematical background............................................................................. 4.2. Implementation................................................................................................ 4.3. Results and Timings...................................................................................... 5. Desingularization ofsurfaces 5.1. Mathematical background............................................................................ 7 10 16 27 27 32 32 34 35 38 43 43 43 44 49 55 60 61 65 66 80 85 99 100 111
Contents 5.2. Sequential algorithms ................................................................................... 5.3. Petri nets for the general case....................................................................... 5.4. Implementation and timings.......................................................................... 119 132 137 A. Technical details A.l. The minor application................................................................................... A.2. GPI-Space and HPC tools............................................................................. A.3. Singular............................................................................................................ A.4. Singular and GPI-Space................................................................................ 141 141 143 144 146 Bibliography 149 Acknowledgments 155 Curriculum vitae 157 IV
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| discipline | Informatik Mathematik |
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| indexdate | 2024-07-10T08:40:23Z |
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| spelling | Ristau, Lukas Verfasser (DE-588)1022723952 aut Using Petri nets to parallelize algebraic algorithms Lukas Ristau Kaiserslautern 2019 ix, 157 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Dissertation Technische Universität Kaiserslautern 2019 Parallelverarbeitung (DE-588)4075860-6 gnd rswk-swf Computeralgebra (DE-588)4010449-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Computeralgebra (DE-588)4010449-7 s Parallelverarbeitung (DE-588)4075860-6 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031657102&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ristau, Lukas Using Petri nets to parallelize algebraic algorithms Parallelverarbeitung (DE-588)4075860-6 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4075860-6 (DE-588)4010449-7 (DE-588)4113937-9 |
| title | Using Petri nets to parallelize algebraic algorithms |
| title_auth | Using Petri nets to parallelize algebraic algorithms |
| title_exact_search | Using Petri nets to parallelize algebraic algorithms |
| title_full | Using Petri nets to parallelize algebraic algorithms Lukas Ristau |
| title_fullStr | Using Petri nets to parallelize algebraic algorithms Lukas Ristau |
| title_full_unstemmed | Using Petri nets to parallelize algebraic algorithms Lukas Ristau |
| title_short | Using Petri nets to parallelize algebraic algorithms |
| title_sort | using petri nets to parallelize algebraic algorithms |
| topic | Parallelverarbeitung (DE-588)4075860-6 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Parallelverarbeitung Computeralgebra Hochschulschrift |
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