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000725846 019__ $$a905918382
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000725846 0247_ $$a10.1007/978-94-017-9816-7$$2doi
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000725846 050_4 $$aQA76.87
000725846 08204 $$a006.3/2$$223
000725846 1001_ $$aYadav, Neha,$$eauthor.
000725846 24513 $$aAn introduction to neural network methods for differential equations$$h[electronic resource] /$$cNeha Yadav, Anupam Yadav, Manoj Kumar.
000725846 264_1 $$aDordrecht :$$bSpringer,$$c2015.
000725846 300__ $$a1 online resource (xiii, 114 pages) :$$billustrations.
000725846 336__ $$atext$$btxt$$2rdacontent
000725846 337__ $$acomputer$$bc$$2rdamedia
000725846 338__ $$aonline resource$$bcr$$2rdacarrier
000725846 4901_ $$aSpringerBriefs in applied sciences and technology, Computational intelligence,$$x2191-530X
000725846 504__ $$aIncludes bibliographical references and index.
000725846 5050_ $$aPreface -- Introduction -- 1 Overview of Differential Equations -- 2 History of Neural Networks -- 3 Preliminaries of Neural Networks -- 4 Neural Network Methods for Solving Differential Equations -- Conclusion -- Appendix -- References -- Index.
000725846 506__ $$aAccess limited to authorized users.
000725846 520__ $$aThis book introduces a variety of neural network methods for solving differential equations arising in science and engineering. The emphasis is placed on a deep understanding of the neural network techniques, which has been presented in a mostly heuristic and intuitive manner. This approach will enable the reader to understand the working, efficiency and shortcomings of each neural network technique for solving differential equations.℗ℓThe objective of this book is to provide the reader with a sound understanding of the foundations of neural networks, and a comprehensive introduction to neural network methods for solving differential equations together with recent developments in the techniques and their applications. The book comprises four major sections. Section I consists of a brief overview of differential equations and the relevant physical problems arising in science and engineering. Section II illustrates the history of neural networks starting from their beginnings in the 1940s through to the renewed interest of the 1980s. A general introduction to neural networks and learning technologies is presented in Section III. This section also includes the description of the multilayer perceptron and its learning methods. In Section IV, the different neural network methods for solving differential equations are introduced, including discussion of the most recent developments in the field. Advanced students and researchers in mathematics, computer science and various disciplines in science and engineering will find this book a valuable reference source.
000725846 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 4, 2015).
000725846 650_0 $$aNeural networks (Computer science)
000725846 650_0 $$aDifferential equations$$xData processing.
000725846 7001_ $$aYadav, Anupam,$$eauthor.
000725846 7001_ $$aKumar, Manoj,$$eauthor.
000725846 77608 $$iPrint version:$$z9789401798150
000725846 830_0 $$aSpringerBriefs in applied sciences and technology.$$pComputational intelligence.
000725846 852__ $$bebk
000725846 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-94-017-9816-7$$zOnline Access$$91397441.1
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