01033nam0 22002771i 450 UON0048927020231205105324.967978-99-661-5532-020180618d2011 |0itac50 baengKE|||| |||||Ato Malindaedited by Ato Malindawith Nathalie Mba Bikoro, Nancy Hoffmann, [et alii]NairobiContact Zones NRB2011128 p.fotoPROGETTO M.E.L.A.IT-UONSI AMEVI c2.70/0107MulticulturalismoUONC042853FIKENairobiUONL000730MALINDAAtoUONV239595Contact ZonesUONV283134650ITSOL20250919RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00489270SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI VI c 2.70 0107 SI 26061 5 0107 PROGETTO M.E.L.A.BuonoAto Malinda1524575UNIOR05197nam 22008175 450 991029967680332120200707014258.094-017-9816-810.1007/978-94-017-9816-7(CKB)3710000000360463(EBL)1998188(OCoLC)904248956(SSID)ssj0001452104(PQKBManifestationID)11890637(PQKBTitleCode)TC0001452104(PQKBWorkID)11479644(PQKB)10407921(DE-He213)978-94-017-9816-7(MiAaPQ)EBC1998188(PPN)184495423(EXLCZ)99371000000036046320150226d2015 u| 0engur|n|---|||||txtccrAn Introduction to Neural Network Methods for Differential Equations /by Neha Yadav, Anupam Yadav, Manoj Kumar1st ed. 2015.Dordrecht :Springer Netherlands :Imprint: Springer,2015.1 online resource (124 p.)SpringerBriefs in Computational Intelligence,2625-3704Description based upon print version of record.94-017-9815-X Includes bibliographical references and index.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.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.SpringerBriefs in Computational Intelligence,2625-3704Neural networks (Computer science)Differential equationsPhysicsApplied mathematicsEngineering mathematicsComputer scienceMathematicsMathematical Models of Cognitive Processes and Neural Networkshttps://scigraph.springernature.com/ontologies/product-market-codes/M13100Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Mathematical and Computational Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T11006Computational Mathematics and Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M1400XNeural networks (Computer science)Differential equations.Physics.Applied mathematics.Engineering mathematics.Computer scienceMathematics.Mathematical Models of Cognitive Processes and Neural Networks.Ordinary Differential Equations.Numerical and Computational Physics, Simulation.Mathematical and Computational Engineering.Computational Mathematics and Numerical Analysis.006.32Yadav Nehaauthttp://id.loc.gov/vocabulary/relators/aut720897Yadav Anupamauthttp://id.loc.gov/vocabulary/relators/autKumar Manojauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299676803321An Introduction to Neural Network Methods for Differential Equations2497650UNINA