An introduction to neural network methods for differential equations [electronic resource] / Neha Yadav, Anupam Yadav, Manoj Kumar.
2015
QA76.87
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Title
An introduction to neural network methods for differential equations [electronic resource] / Neha Yadav, Anupam Yadav, Manoj Kumar.
Author
Yadav, Neha, author.
ISBN
9789401798167 electronic book
9401798168 electronic book
9789401798150
9401798168 electronic book
9789401798150
Published
Dordrecht : Springer, 2015.
Language
English
Description
1 online resource (xiii, 114 pages) : illustrations.
Item Number
10.1007/978-94-017-9816-7 doi
Call Number
QA76.87
Dewey Decimal Classification
006.3/2
Summary
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.℗ℓThe 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.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed March 4, 2015).
Added Author
Yadav, Anupam, author.
Kumar, Manoj, author.
Kumar, Manoj, author.
Series
SpringerBriefs in applied sciences and technology. Computational intelligence.
Available in Other Form
Print version: 9789401798150
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Table of Contents
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.
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.