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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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An Introduction to Neural Network Methods for Differential Equations (Paperback, 2015 ed.)
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An Introduction to Neural Network Methods for Differential Equations (Paperback, 2015 ed.)
Series: SpringerBriefs in Applied Sciences and Technology
Expected to ship within 10 - 15 working days
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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.
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