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Optimal Urban Networks via Mass Transportation

Optimal Urban Networks via Mass Transportation
Author: Giuseppe Buttazzo
Publisher: Springer
Total Pages: 161
Release: 2008-11-09
Genre: Mathematics
ISBN: 3540857990
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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

Optimal Urban Networks via Mass Transportation
Author: Giuseppe Buttazzo
Publisher: Springer
Total Pages: 150
Release: 2009-08-29
Genre: Mathematics
ISBN: 9783540858218
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Download Optimal Urban Networks via Mass Transportation Book in PDF, ePub and Kindle

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

Optimization and Control for Partial Differential Equations
Author: Roland Herzog
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 386
Release: 2022-03-07
Genre: Mathematics
ISBN: 3110696002
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Download Optimization and Control for Partial Differential Equations Book in PDF, ePub and Kindle

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.

Urban Transportation Networks

Urban Transportation Networks
Author: Yosef Sheffi
Publisher: Prentice Hall
Total Pages: 426
Release: 1984
Genre: Political Science
ISBN:
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Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction

Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction
Author: Alberto Parmeggiani
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2010-04-22
Genre: Mathematics
ISBN: 3642119212
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Download Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction Book in PDF, ePub and Kindle

This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.

Banach Spaces and Descriptive Set Theory: Selected Topics

Banach Spaces and Descriptive Set Theory: Selected Topics
Author: Pandelis Dodos
Publisher: Springer Science & Business Media
Total Pages: 180
Release: 2010-05-10
Genre: Mathematics
ISBN: 3642121527
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Download Banach Spaces and Descriptive Set Theory: Selected Topics Book in PDF, ePub and Kindle

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.

Sobolev Gradients and Differential Equations

Sobolev Gradients and Differential Equations
Author: john neuberger
Publisher: Springer
Total Pages: 287
Release: 2009-11-10
Genre: Mathematics
ISBN: 3642040411
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Download Sobolev Gradients and Differential Equations Book in PDF, ePub and Kindle

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.

Computational Science and Its Applications –- ICCSA 2009

Computational Science and Its Applications –- ICCSA 2009
Author: Osvaldo Gervasi
Publisher: Springer Science & Business Media
Total Pages: 991
Release: 2009-07-09
Genre: Computers
ISBN: 3642024548
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Download Computational Science and Its Applications –- ICCSA 2009 Book in PDF, ePub and Kindle

The two-volume set LNCS 5592 and 5593 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2009, held in Seoul, Korea, in June/July, 2009. The two volumes contain papers presenting a wealth of original research results in the field of computational science, from foundational issues in computer science and mathematics to advanced applications in virtually all sciences making use of computational techniques. The topics of the fully refereed papers are structured according to the five major conference themes: computational methods, algorithms and scientific applications, high performance technical computing and networks, advanced and emerging applications, as well as information systems and information technologies. Moreover, submissions from more than 20 workshops and technical sessions contribute to this publication. These cover topics such as geographical analysis, urban modeling, spatial statistics, wireless and ad hoc networking, logical, scientific and computational aspects of pulse phenomena in transitions, high-performance computing and information visualization, sensor network and its applications, molecular simulations structures and processes, collective evolutionary systems, software engineering processes and applications, molecular simulations structures and processes, internet communication security, security and privacy in pervasive computing environments, and mobile communications.

Generalized Bessel Functions of the First Kind

Generalized Bessel Functions of the First Kind
Author: Árpád Baricz
Publisher: Springer Science & Business Media
Total Pages: 225
Release: 2010-05-25
Genre: Mathematics
ISBN: 3642122299
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This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.

Intersection Spaces, Spatial Homology Truncation, and String Theory

Intersection Spaces, Spatial Homology Truncation, and String Theory
Author: Markus Banagl
Publisher: Springer Science & Business Media
Total Pages: 237
Release: 2010-07-08
Genre: Mathematics
ISBN: 3642125883
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The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality.