Introduction à l'analyse numérique matricielle et à l'optimisation

Introduction à l'analyse numérique matricielle et à l'optimisation

Author: Philippe G. Ciarlet

Publisher:

Published: 1998

Total Pages: 279

ISBN-13: 9782100041671

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L'objectif essentiel de cet ouvrage est de donner, tout en restant dans des limites raisonnables, une description et une analyse relativement complètes des méthodes les plus couramment utilisées en analyse numérique matricielle et en optimisation. Il s'adresse aux étudiants de licence et maîtrise de mathématiques pures, de mathématiques et applications fondamentales, de mécanique, ainsi qu'aux élèves de première année des grandes écoles. L'ouvrage se compose de deux parties. La première est consacrée à l'analyse numérique matricielle (résolution des systèmes linéaires, calcul des valeurs, vecteurs propres), la seconde à l'optimisation. Un recueil d'exercices corrigés, rédigés par P. G. Ciarlet, B. Miara et J.-M. Thomas, permet au lecteur d'appliquer ses connaissances et de vérifier sa compréhension du cours.


Introduction to Numerical Linear Algebra and Optimisation

Introduction to Numerical Linear Algebra and Optimisation

Author: Philippe G. Ciarlet

Publisher: Cambridge University Press

Published: 1989-08-25

Total Pages: 456

ISBN-13: 9780521339841

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The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value to students of numerical analysis, applied mathematics and engineering.


Exercices d'analyse numérique matricielle et d'optimisation

Exercices d'analyse numérique matricielle et d'optimisation

Author: Philippe G. Ciarlet

Publisher:

Published: 2001

Total Pages: 190

ISBN-13: 9782100055876

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Ce recueil d'exercices contient des énoncés de nature, de longueur et de difficulté très variées, qui complètent l'ouvrage de Philippe G. Ciarlet, paru dans la même collection, Introduction à l'Analyse numérique matricielle et à l'optimisation. Il s'adresse aux étudiants de licence et maîtrise de mathématiques pures, de mathématiques et applications fondamentales, de mécanique, ainsi qu'aux élèves de première année des grandes écoles.


Introduction to the Theory of Optimization in Euclidean Space

Introduction to the Theory of Optimization in Euclidean Space

Author: Samia Challal

Publisher: CRC Press

Published: 2019-11-14

Total Pages: 242

ISBN-13: 0429515162

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Introduction to the Theory of Optimization in Euclidean Space is intended to provide students with a robust introduction to optimization in Euclidean space, demonstrating the theoretical aspects of the subject whilst also providing clear proofs and applications. Students are taken progressively through the development of the proofs, where they have the occasion to practice tools of differentiation (Chain rule, Taylor formula) for functions of several variables in abstract situations. Throughout this book, students will learn the necessity of referring to important results established in advanced Algebra and Analysis courses. Features Rigorous and practical, offering proofs and applications of theorems Suitable as a textbook for advanced undergraduate students on mathematics or economics courses, or as reference for graduate-level readers Introduces complex principles in a clear, illustrative fashion


Electric and Magnetic Fields

Electric and Magnetic Fields

Author: R. Belmans

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 380

ISBN-13: 1461519616

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This book contains the edited versions of the papers presented at the Second International Workshop on Electric and Magnetic Fields held at the Katholieke Universiteit van Leuven (Belgium) in May 1994. This Workshop deals with numerical solutions of electromagnetic problems in real life applications. The topics include coupled problems (thermal, mechanical, electric circuits), CAD & CAM applications, 3D eddy current and high frequency problems, optimisation and application oriented numerical problems. This workshop was organised jointly by the AIM (Association of Engineers graduated from de Montefiore Electrical Institute) together with the Departments of Electrical Engineering of the Katholieke Universiteit van Leuven (Prof. R. Belmans), the University of Gent (Prof. J. Melkebbek) and the University of Liege (Prof. W. Legros). These laboratories are working together in the framework of the Pole d'Attraction Interuniversitaire - Inter-University Attractie-Pole 51 - on electromagnetic systems led by the University of Liege and the research work they perform covers most of the topics of the Workshop. One of the principal aims of this Workshop was to provide a bridge between the electromagnetic device designers, mainly industrialists, and the electromagnetic field computation developers. Therefore, this book contains a continuous spectrum of papers from application of electromagnetic models in industrial design to presentation of new theoretical developments.


EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization

Author: H.C. Rodrigues

Publisher: Springer

Published: 2018-09-13

Total Pages: 1486

ISBN-13: 3319977733

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The papers in this volume focus on the following topics: design optimization and inverse problems, numerical optimization techniques,efficient analysis and reanalysis techniques, sensitivity analysis and industrial applications. The conference EngOpt brings together engineers, applied mathematicians and computer scientists working on research, development and practical application of optimization methods in all engineering disciplines and applied sciences.


Embedded Mechatronic Systems 2

Embedded Mechatronic Systems 2

Author: Abdelkhalak El Hami

Publisher: ISTE Press - Elsevier

Published: 2020-03-17

Total Pages: 298

ISBN-13: 1785481908

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Embedded Mechatronic Systems 2: Analysis of Failures, Modeling, Simulation and Optimization presents advances in research within the field of mechatronic systems, which integrates reliability into the design process. Providing many detailed examples, this book develops a characterization methodology for faults in mechatronic systems. It analyzes the multi-physical modeling of faults, revealing weaknesses in design and failure mechanisms. This development of meta-models enables us to simulate effects on the reliability of conditions of use and manufacture. Provides many detailed examples Develops a characterization methodology for faults in mechatronic systems Analyzes the multi-physical modeling of faults, revealing weaknesses in design and failure mechanisms


European Control Conference 1991

European Control Conference 1991

Author:

Publisher: European Control Association

Published: 1991-07-02

Total Pages: 1012

ISBN-13: 9782866012816

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Proceedings of the European Control Conference 1991, July 2-5, 1991, Grenoble, France


Inverse Methods in Action

Inverse Methods in Action

Author: Pierre C. Sabatier

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 645

ISBN-13: 3642752985

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This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique (con tract GR 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I will not try to refer to them all here (the reader will be easily convinced by reading the Table of Contents). My comments at the conference are summarized by the short scientific introduction at the beginning of the volume.