An Introduction to Neural Network Methods for Differential Equations

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book An Introduction to Neural Network Methods for Differential Equations by Neha Yadav, Anupam Yadav, Manoj Kumar, Springer Netherlands
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Neha Yadav, Anupam Yadav, Manoj Kumar ISBN: 9789401798167
Publisher: Springer Netherlands Publication: February 26, 2015
Imprint: Springer Language: English
Author: Neha Yadav, Anupam Yadav, Manoj Kumar
ISBN: 9789401798167
Publisher: Springer Netherlands
Publication: February 26, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Netherlands

Cover of the book History of Artificial Cold, Scientific, Technological and Cultural Issues by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Ecologists and Ethical Judgements by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Judgment and Sachverhalt by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Transitions to School - International Research, Policy and Practice by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Viruses and the Environment by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Legal Argumentation Theory: Cross-Disciplinary Perspectives by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Environmental Learning by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Allergy Bioinformatics by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Mapping Equity and Quality in Mathematics Education by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Genres on the Web by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Biology and Culture of Percid Fishes by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Anthropology and Epidemiology by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Flexible Syntax by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Marine Geochemistry by Neha Yadav, Anupam Yadav, Manoj Kumar
Cover of the book Visualization in Mathematics, Reading and Science Education by Neha Yadav, Anupam Yadav, Manoj Kumar
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy