Modelling and Optimisation of Flows on Networks: Cetraro, Italy 2009, Editors: Benedetto Piccoli, Mi - Ambrosio, Luigi

Modelling and Optimisation of Flows on Networks: Cetraro, Italy 2009, Editors: Benedetto Piccoli, Mi

Luigi Ambrosio

Yayınevi: Springer

Yayın tarihi: 12/2012

ISBN: 9783642321597

Yazar : Enrique Zuazua Alberto Bressan Dirk Helbing Axel Klar

İngilizce | 497 Sayfa | 15,6x23,6x2,79 cm.

Tür: Matematik-İstatistik

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In recent years flows in networks have attracted the interest of many researchers from different areas, e.g. applied mathematicians, engineers, physicists, economists. The main reason for this ubiquity is the wide and diverse range of applications, such as vehicular traffic, supply chains, blood flow, irrigation channels, data networks and others. This book presents an extensive set of notes by world leaders on the main mathematical techniques used to address such problems, together with investigations into specific applications. The main focus is on partial differential equations in networks, but ordinary differential equations and optimal transport are also included. Moreover, the modeling is completed by analysis, numerics, control and optimization of flows in networks. The book will be a valuable resource for every researcher or student interested in the subject.

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