General

Authors

Search


Committee login



 
 

 


 

 

Forthcoming

Small thumbnail

Reliability Investigation of LED Devices for Public Light Applications

Durability, Robustness and Reliability of Photonic Devices Set

Small thumbnail

Aerospace Actuators 2

Signal-by-Wire and Power-by-Wire

Small thumbnail

Flash Memory Integration

Performance and Energy Considerations

Small thumbnail

Mechanics of Aeronautical Solids, Materials and Structures

Small thumbnail

Engineering Investment Process

Making Value Creation Repeatable

Small thumbnail

Space Strategy

Small thumbnail

Distributed Systems

Concurrency and Consistency

Small thumbnail

Fatigue of Textile and Short Fiber Reinforced Composites

Durability and Ageing of Organic Composite Materials Set – Volume 1

Small thumbnail

Management of the Effects of Coastal Storms

Policy, Scientific and Historical Perspectives

Small thumbnail

Computational Color Science

Variational Retinex-like Methods

Small thumbnail

Modeling and Convexity

Eduardo Souza de Cursi, INSA de Rouen, France Rubens Sampaio, PUC-Rio, Rio de Janeiro, Brazil

ISBN: 9781848211773

Publication Date: May 2010   Hardback   528 pp.

215.00 USD


Add to cart

eBooks


Ebook Ebook

Description

This reference book gives to the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given.
The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in order to generate numerical algorithms.

Contents

PART 1. MOTIVATION: EXAMPLES AND APPLICATIONS
1. Curvilinear Continuous Media.
2. Unilateral System Dynamics.
3. A Simplified Model of Fusion/Solidification.
4. Minimization of a Non-Convex Function.
5. Simple Models of Plasticity.
PART 2. THEORETICAL ELEMENTS
6. Elements of Set Theory.
7. Real Hilbert Spaces.
8. Convex Sets.
9. Functionals on a Hilbert Space.
10. Optimization.
11. Variational Problems.

About the Authors

Eduardo Souza de Cursi is Professor, Director of European and International Relations and Director of the Laboratory of Mechanics at INSA-Rouen in France.
Rubens Sampaio is Professor at PUC-Rio, Rio de Janeiro, Brazil. His fields of interest are Applied Mathematics and Mechanics.

Downloads

DownloadTable of Contents - PDF File - 343 Kb

Related Titles



































0.02118 s.