An Introduction to Neural Network Methods for Differential Equations

• Main Authors: Yadav, Neha (Author), Yadav, Anupam (Author), Kumar, Manoj (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Mathematics.; Differential equations.; Neural networks (Computer science).; Computer mathematics.; Physics.; Applied 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.

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 ena...

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.