An introduction to neural network methods for differential equations
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Dordrecht [u.a.]
Springer
2015
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| Schriftenreihe: | SpringerBriefs in applied sciences and technology
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| Schlagworte: | |
| Online-Zugang: | DE-91 URL des Erstveröffentlichers Abstract Inhaltsverzeichnis |
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Datensatz im Suchindex
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| adam_text | AN INTRODUCTION TO NEURAL NETWORK METHODS FOR DIFFERENTIAL EQUATIONS
/ YADAV, NEHA
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK INTRODUCES A VARIETY OF NEURAL NETWORK METHODS FOR SOLVING
DIFFERENTIAL EQUATIONS ARISING IN SCIENCE AND ENGINEERING. THE EMPHASIS
IS PLACED ON A DEEP UNDERSTANDING OF THE NEURAL NETWORK TECHNIQUES,
WHICH HAS BEEN PRESENTED IN A MOSTLY HEURISTIC AND INTUITIVE MANNER.
THIS APPROACH WILL ENABLE THE READER TO UNDERSTAND THE WORKING,
EFFICIENCY AND SHORTCOMINGS OF EACH NEURAL NETWORK TECHNIQUE FOR SOLVING
DIFFERENTIAL EQUATIONS.THE OBJECTIVE OF THIS BOOK IS TO PROVIDE THE
READER WITH A SOUND UNDERSTANDING OF THE FOUNDATIONS OF NEURAL NETWORKS,
AND A COMPREHENSIVE INTRODUCTION TO NEURAL NETWORK METHODS FOR SOLVING
DIFFERENTIAL EQUATIONS TOGETHER WITH RECENT DEVELOPMENTS IN THE
TECHNIQUES AND THEIR APPLICATIONS. THE BOOK COMPRISES FOUR MAJOR
SECTIONS. SECTION I CONSISTS OF A BRIEF OVERVIEW OF DIFFERENTIAL
EQUATIONS AND THE RELEVANT PHYSICAL PROBLEMS ARISING IN SCIENCE AND
ENGINEERING. SECTION II ILLUSTRATES THE HISTORY OF NEURAL NETWORKS
STARTING FROM THEIR BEGINNINGS IN THE 1940S THROUGH TO THE RENEWED
INTEREST OF THE 1980S. A GENERAL INTRODUCTION TO NEURAL NETWORKS AND
LEARNING TECHNOLOGIES IS PRESENTED IN SECTION III. THIS SECTION ALSO
INCLUDES THE DESCRIPTION OF THE MULTILAYER PERCEPTRON AND ITS LEARNING
METHODS. IN SECTION IV, THE DIFFERENT NEURAL NETWORK METHODS FOR SOLVING
DIFFERENTIAL EQUATIONS ARE INTRODUCED, INCLUDING DISCUSSION OF THE MOST
RECENT DEVELOPMENTS IN THE FIELD. ADVANCED STUDENTS AND RESEARCHERS IN
MATHEMATICS, COMPUTER SCIENCE AND VARIOUS DISCIPLINES IN SCIENCE AND
ENGINEERING WILL FIND THIS BOOK A VALUABLE REFERENCE SOURCE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INTRODUCTION TO NEURAL NETWORK METHODS FOR DIFFERENTIAL EQUATIONS
/ YADAV, NEHA
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION
1 OVERVIEW OF DIFFERENTIAL EQUATIONS
2 HISTORY OF NEURAL NETWORKS
3 PRELIMINARIES OF NEURAL NETWORKS
4 NEURAL NETWORK METHODS FOR SOLVING DIFFERENTIAL EQUATIONS
CONCLUSION
APPENDIX
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Yadav, Neha |
| author_facet | Yadav, Neha |
| author_role | aut |
| author_sort | Yadav, Neha |
| author_variant | n y ny |
| building | Verbundindex |
| bvnumber | BV042387497 |
| classification_tum | ELT 000 MAS 000 |
| collection | ZDB-26-MYL ZDB-2-ENG |
| ctrlnum | (OCoLC)904364955 (DE-599)BVBBV042387497 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Maschinenbau / Maschinenwesen Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| doi_str_mv | 10.1007/978-94-017-9816-7 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9789401798167 9789401798150 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027823457 |
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| physical | XIII, 114 p. 21 illus |
| psigel | ZDB-26-MYL ZDB-2-ENG ZDB-2-ENG_2015 ZDB-26-MYL TUM_PDA_MIL_Kauf |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in applied sciences and technology |
| spellingShingle | Yadav, Neha An introduction to neural network methods for differential equations Mathematics Differential Equations Computer science / Mathematics Engineering mathematics Mathematical Models of Cognitive Processes and Neural Networks Ordinary Differential Equations Numerical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Computational Mathematics and Numerical Analysis Informatik Mathematik Differentialgleichung (DE-588)4012249-9 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4226127-2 |
| title | An introduction to neural network methods for differential equations |
| title_auth | An introduction to neural network methods for differential equations |
| title_exact_search | An introduction to neural network methods for differential equations |
| title_full | An introduction to neural network methods for differential equations Neha Yadav ; Anupam Yadav ; Manoj Kumar |
| title_fullStr | An introduction to neural network methods for differential equations Neha Yadav ; Anupam Yadav ; Manoj Kumar |
| title_full_unstemmed | An introduction to neural network methods for differential equations Neha Yadav ; Anupam Yadav ; Manoj Kumar |
| title_short | An introduction to neural network methods for differential equations |
| title_sort | an introduction to neural network methods for differential equations |
| topic | Mathematics Differential Equations Computer science / Mathematics Engineering mathematics Mathematical Models of Cognitive Processes and Neural Networks Ordinary Differential Equations Numerical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Computational Mathematics and Numerical Analysis Informatik Mathematik Differentialgleichung (DE-588)4012249-9 gnd Neuronales Netz (DE-588)4226127-2 gnd |
| topic_facet | Mathematics Differential Equations Computer science / Mathematics Engineering mathematics Mathematical Models of Cognitive Processes and Neural Networks Ordinary Differential Equations Numerical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Computational Mathematics and Numerical Analysis Informatik Mathematik Differentialgleichung Neuronales Netz |
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