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

자료유형

E-Book(소장)

개인저자

Yadav, Neha. Yadav, Anupam. Kumar, Manoj.

서명 / 저자사항

An introduction to neural network methods for differential equations [electronic resource] / Neha Yadav, Anupam Yadav, Manoj Kumar.

발행사항

Dordrecht : Springer Netherlands : Imprint: Springer, 2015.

형태사항

1 online resource (xiii, 114 p.) : ill.

총서사항

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.

일반주기

Title from e-Book title page.

내용주기

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.

서지주기

Includes bibliographical references and index.

이용가능한 다른형태자료

Issued also as a book.

일반주제명

Neural networks (Computer science). Differential equations --Data processing.

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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)

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No.	소장처	청구기호	등록번호	도서상태	반납예정일	예약	서비스
No. 1	소장처 중앙도서관/e-Book 컬렉션/	청구기호 CR 006.32	등록번호 E14030140	도서상태 대출불가(열람가능)	반납예정일	예약	서비스 M

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

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