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An introduction to neural network methods for differential equations [electronic resource]

An introduction to neural network methods for differential equations [electronic resource]

Material type
E-Book(소장)
Personal Author
Yadav, Neha. Yadav, Anupam. Kumar, Manoj.
Title Statement
An introduction to neural network methods for differential equations [electronic resource] / Neha Yadav, Anupam Yadav, Manoj Kumar.
Publication, Distribution, etc
Dordrecht :   Springer Netherlands :   Imprint: Springer,   2015.  
Physical Medium
1 online resource (xiii, 114 p.) : ill.
Series Statement
SpringerBriefs in applied sciences and technology,2191-530X
ISBN
9789401798167
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Neural networks (Computer science). Differential equations --Data processing.
Short cut
URL
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020 ▼a 9789401798167
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050 4 ▼a QA76.87
082 0 4 ▼a 006.3/2 ▼2 23
084 ▼a 006.32 ▼2 DDCK
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100 1 ▼a Yadav, Neha.
245 1 3 ▼a An introduction to neural network methods for differential equations ▼h [electronic resource] / ▼c Neha Yadav, Anupam Yadav, Manoj Kumar.
260 ▼a Dordrecht : ▼b Springer Netherlands : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xiii, 114 p.) : ▼b ill.
490 1 ▼a SpringerBriefs in applied sciences and technology, ▼x 2191-530X
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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.
520 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Neural networks (Computer science).
650 0 ▼a Differential equations ▼x Data processing.
700 1 ▼a Yadav, Anupam.
700 1 ▼a Kumar, Manoj.
830 0 ▼a SpringerBriefs in applied sciences and technology.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-94-017-9816-7
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 006.32 Accession No. E14030140 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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