Optimal Urban Networks Via Mass Transportation

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Optimal Urban Networks Via Mass Transportation

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Author : Giuseppe Buttazzo
language : en
Publisher: Springer
Release Date : 2009-08-29

Optimal Urban Networks Via Mass Transportation written by Giuseppe Buttazzo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.

Optimal Urban Networks Via Mass Transportation

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Author : Giuseppe Buttazzo
language : en
Publisher: Springer
Release Date : 2008-11-09

Optimal Urban Networks Via Mass Transportation written by Giuseppe Buttazzo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-09 with Mathematics categories.

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.

Optimal Urban Networks Via Mass Transportation

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Author : Giuseppe Buttazzo
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-03

Optimal Urban Networks Via Mass Transportation written by Giuseppe Buttazzo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-03 with Mathematics categories.

Recently much attention has been devoted to the optimization of transportation networks in a given geographic area. One assumes the distributions of population and of services/workplaces (i.e. the network's sources and sinks) are known, as well as the costs of movement with/without the network, and the cost of constructing/maintaining it. Both the long-term optimization and the short-term, "who goes where," optimization are considered. These models can also be adapted for the optimization of other types of networks, such as telecommunications, pipeline or drainage networks. In the monograph we study the most general problem settings, namely, when neither the shape nor even the topology of the network to be constructed is known a priori.

Optimization And Control For Partial Differential Equations

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Author : Roland Herzog
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-03-07

Optimization And Control For Partial Differential Equations written by Roland Herzog and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-07 with Mathematics categories.

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Partial Inner Product Spaces

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Author : J-P Antoine
language : en
Publisher: Springer
Release Date : 2009-12-08

Partial Inner Product Spaces written by J-P Antoine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-08 with Mathematics categories.

Partial Inner Product (PIP) Spaces are ubiquitous, e.g. Rigged Hilbert spaces, chains of Hilbert or Banach spaces (such as the Lebesgue spaces Lp over the real line), etc. In fact, most functional spaces used in (quantum) physics and in signal processing are of this type. The book contains a systematic analysis of PIP spaces and operators defined on them. Numerous examples are described in detail and a large bibliography is provided. Finally, the last chapters cover the many applications of PIP spaces in physics and in signal/image processing, respectively. As such, the book will be useful both for researchers in mathematics and practitioners of these disciplines.

Vector Fields On Singular Varieties

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Author : Jean-Paul Brasselet
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-17

Vector Fields On Singular Varieties written by Jean-Paul Brasselet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-17 with Language Arts & Disciplines categories.

Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.

Introduction To Complex Reflection Groups And Their Braid Groups

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Author : Michel Broué
language : en
Publisher: Springer
Release Date : 2010-01-28

Introduction To Complex Reflection Groups And Their Braid Groups written by Michel Broué and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-28 with Mathematics categories.

This book covers basic properties of complex reflection groups, such as characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, including the basic findings of Springer theory on eigenspaces.

Sobolev Gradients And Differential Equations

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Author : john neuberger
language : en
Publisher: Springer
Release Date : 2009-11-10

Sobolev Gradients And Differential Equations written by john neuberger and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-10 with Mathematics categories.

A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive point of view on the subject of partial differential equations.

Blocks And Families For Cyclotomic Hecke Algebras

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Author : Maria Chlouveraki
language : en
Publisher: Springer
Release Date : 2009-08-29

Blocks And Families For Cyclotomic Hecke Algebras written by Maria Chlouveraki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-29 with Mathematics categories.

This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory. It can also serve as an introduction to the Hecke algebras of complex reflection groups.

Boundary Value Problems And Markov Processes

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Author : Kazuaki Taira
language : en
Publisher: Springer
Release Date : 2009-06-17

Boundary Value Problems And Markov Processes written by Kazuaki Taira and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-17 with Mathematics categories.

This is a thorough and accessible exposition on the functional analytic approach to the problem of construction of Markov processes with Ventcel’ boundary conditions in probability theory. It presents new developments in the theory of singular integrals.