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Book Description
Cet ouvrage présente un panorama de problèmes abordés en analyse numérique et se destine auxaux élèves d'écoles d'ingénieurs, aux étudiants de Licence, de Master en mathématiques appliquées, mécanique et informatique. Le cours est illustré par des exercices corrigés, des exemples numériques et des algorithmes avec programmation Matlab. Ce livre vise à être un « bon compagnon » du lecteur motivé par le calcul scientifique.
Book Description
Cet ouvrage présente un panorama de problèmes abordés en analyse numérique et se destine auxaux élèves d'écoles d'ingénieurs, aux étudiants de Licence, de Master en mathématiques appliquées, mécanique et informatique. Le cours est illustré par des exercices corrigés, des exemples numériques et des algorithmes avec programmation Matlab. Ce livre vise à être un « bon compagnon » du lecteur motivé par le calcul scientifique.
Author: Aref Jeribi Publisher: Springer Nature ISBN: 981162528X Category : Mathematics Languages : en Pages : 509
Book Description
This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.
Author: Aymen Ammar Publisher: CRC Press ISBN: 1000293130 Category : Mathematics Languages : en Pages : 284
Book Description
The concept of multivalued linear operators—or linear relations—is the one of the most exciting and influential fields of research in modern mathematics. Applications of this theory can be found in economic theory, noncooperative games, artificial intelligence, medicine, and more. This new book focuses on the theory of linear relations, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators. The subject of this book is the study of linear relations over real or complex Banach spaces. The main purposes are the definitions and characterization of different kinds of spectra and extending the notions of spectra that are considered for the usual one single-valued operator bounded or not bounded. The volume introduces the theory of pseudospectra of multivalued linear operators. The main topics include demicompact linear relations, essential spectra of linear relation, pseudospectra, and essential pseudospectra of linear relations. The volume will be very useful for researchers since it represents not only a collection of a previously heterogeneous material but is also an innovation through several extensions. Beginning graduate students who wish to enter the field of spectral theory of multivalued linear operators will benefit from the material covered, and expert readers will also find sources of inspiration.
Book Description
Cet ouvrage est destiné aux étudiants en Master de mathématiques appliquées, aux élèves ingénieurs, ainsi qu'aux candidats au CAPES ou à l'Agrégation. Il propose un panorama des problèmes abordés en analyse numérique matricielle : normes sur les espaces de matrices, décompositions matricielles, méthodes directes ou itératives de résolution des systèmes linéaires, problèmes des valeurs propres. On y aborde les aspects théoriques de ces questions, l'algorithmique qui y est associée ainsi que les problèmes de complexité, de sensibilité aux erreurs et de stabilité. Le cours est illustré par des exercices corrigés qui mettent en œuvre les techniques introduites dans chaque chapitre.
Author: Francis Filbet Publisher: Dunod ISBN: 2100600540 Category : Mathematics Languages : fr Pages : 320
Book Description
Cet ouvrage s'adresse aux étudiants de troisième année de Licence, de première année de Master ou aux élèves des écoles d'ingénieurs. Il constitue également une excellente préparation à l'option calcul scientifique de l'agrégation. Son objectif est d'introduire le lecteur à la modélisation mathématique et à la simulation numérique. Le cours présente les outils de base qui permettent de résoudre d'un point de vue numérique des problèmes issus de la physique, de la biologie ou de l'ingéniérie. En fin de chapitre, des exercices corrigés permettre de mettre en oeuvre les concepts à partir de cas concrets. Afin de faciliter la lecture, les résultats classiques concernant l'algèbre linéaire, le calcul différentiel et l'analyse sont rappelés. Dans cette seconde édition actualisée, les exercices ont été entièrement renouvelés.
Author: Mohamed Haddar Publisher: Springer Science & Business Media ISBN: 3642371434 Category : Technology & Engineering Languages : en Pages : 653
Book Description
The 5th International Congress on Design and Modeling of Mechanical Systems (CMSM) was held in Djerba, Tunisia on March 25-27, 2013 and followed four previous successful editions, which brought together international experts in the fields of design and modeling of mechanical systems, thus contributing to the exchange of information and skills and leading to a considerable progress in research among the participating teams. The fifth edition of the congress (CMSM ́2013), organized by the Unit of Mechanics, Modeling and Manufacturing (U2MP) of the National School of Engineers of Sfax, Tunisia, the Mechanical Engineering Laboratory (MBL) of the National School of Engineers of Monastir, Tunisia and the Mechanics Laboratory of Sousse (LMS) of the National School of Engineers of Sousse, Tunisia, saw a significant increase of the international participation. This edition brought together nearly 300 attendees who exposed their work on the following topics: mechatronics and robotics, dynamics of mechanical systems, fluid structure interaction and vibroacoustics, modeling and analysis of materials and structures, design and manufacturing of mechanical systems. This book is the proceedings of CMSM ́2013 and contains a careful selection of high quality contributions, which were exposed during various sessions of the congress. The original articles presented here provide an overview of recent research advancements accomplished in the field mechanical engineering.
Author: Ingram Olkin Publisher: Academic Press ISBN: 0080959970 Category : Mathematics Languages : en Pages : 590
Book Description
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.
Author: Michael J. Kearns Publisher: MIT Press ISBN: 9780262111935 Category : Computers Languages : en Pages : 230
Book Description
Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani introduce a number of central topics in computational learning theory for researchers and students in artificial intelligence, neural networks, theoretical computer science, and statistics. Emphasizing issues of computational efficiency, Michael Kearns and Umesh Vazirani introduce a number of central topics in computational learning theory for researchers and students in artificial intelligence, neural networks, theoretical computer science, and statistics. Computational learning theory is a new and rapidly expanding area of research that examines formal models of induction with the goals of discovering the common methods underlying efficient learning algorithms and identifying the computational impediments to learning. Each topic in the book has been chosen to elucidate a general principle, which is explored in a precise formal setting. Intuition has been emphasized in the presentation to make the material accessible to the nontheoretician while still providing precise arguments for the specialist. This balance is the result of new proofs of established theorems, and new presentations of the standard proofs. The topics covered include the motivation, definitions, and fundamental results, both positive and negative, for the widely studied L. G. Valiant model of Probably Approximately Correct Learning; Occam's Razor, which formalizes a relationship between learning and data compression; the Vapnik-Chervonenkis dimension; the equivalence of weak and strong learning; efficient learning in the presence of noise by the method of statistical queries; relationships between learning and cryptography, and the resulting computational limitations on efficient learning; reducibility between learning problems; and algorithms for learning finite automata from active experimentation.
Author: Mongi Benhamadou
Author: Mongi Benhamadou
Author: Aref Jeribi
Author: Aref Jeribi
Author: Aymen Ammar
Author: Luca Amodei
Author: Francis Filbet
Author: Mohamed Haddar
Author: Neural Information Processing Systems Foundation
Author: Ingram Olkin
Author: Michael J. Kearns