Méthodes d'équations intégrales pour divers problèmes de mécanique PDF Download
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Author: Hocine Guediri
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Author: Hocine Guediri
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Author: Casimir Czekajski
Publisher:
ISBN:
Category :
Languages : fr
Pages : 131
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Author: Patrice Struillou
Publisher: Editions Ellipses
ISBN: 234008279X
Category : Mathematics
Languages : fr
Pages : 529
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Book Description
Cet ouvrage traite d’équations différentielles et d’équations aux dérivées partielles. Il présente des méthodes de résolution rigoureuses pour les problèmes où l’on peut obtenir les solutions sans recourir aux méthodes numériques. Il propose également de très nombreux exemples, il comporte 30 figures originales et 90 exercices ou problèmes corrigés, classiques ou plus personnels. Cet ouvrage est à destination des étudiants de Licence 3 et Master de mathématiques et de physique. Il pourra intéresser également les étudiants en écoles d’ingénieurs, et ceux préparant l’agrégation de mathématiques.
Author: CHASKALOVIC Joël
Publisher: Lavoisier
ISBN: 2743064803
Category :
Languages : en
Pages : 382
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Book Description
Qu’il s’agisse d’applications en physique ou en mécanique, en médecine ou en biologie, mais aussi en économie, dans les médias et en marketing, ou encore dans le domaine des finances, la traduction phénoménologique du système étudié conduit très souvent à la résolution d’équations différentielles ou aux dérivées partielles. Incontestablement, ce sont les éléments finis qui ont bouleversé le monde de l’approximation numérique des équations aux dérivées partielles. Cet ouvrage est composé de deux parties : la première est un abrégé de cours portant sur les outils de base de l’analyse mathématique des équations aux dérivées partielles et la seconde contient des problèmes corrigés qui abordent l’approximation par éléments finis des formulations variationnelles des problèmes aux limites elliptiques. Des applications en mécanique des solides déformables, à la résistance des matériaux, en mécanique des fluides et en thermique ainsi que quelques problèmes non linéaires y sont présentés.Cet ouvrage s'adresse aux étudiants en sciences et techniques de l'ingénieur des universités et des grandes écoles.
Author: S. Potapenko
Publisher: Springer Science & Business Media
ISBN: 081764671X
Category : Mathematics
Languages : en
Pages : 301
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Book Description
This self-contained work illustrates the application of integral methods to diverse problems in mathematics, physics, biology, and engineering. The chapters contain state-of-the-art information on current research in a variety of important practical disciplines. The problems examined arise in real-life processes and phenomena and use a wide range of solution techniques. This is a useful and practical guide.
Author: GERARD.. BEZINE
Publisher:
ISBN:
Category :
Languages : fr
Pages : 181
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Book Description
ON PRESENTE DEUX FORMULATIONS POUR CES PROBLEMES, BASEES SUR DES THEOREMES DE RECIPROCITE OBTENUS A PARTIR DE L'IDENTITE DE RAYLEIGH GREEN GENERALISEE. ELLES CONDUISENT CHACUNE A DEUX EQUATIONS INTEGRALES DE FRONTIERE RELIANT LE DEPLACEMENT, LA PENTE NORMALE, LE MOMENT DE FLEXION NORMAL ET L'EFFORT TRANCHANT DE KIRCHHOFF SUR LE CONTOUR DE LA PLAQUE. EXEMPLES NUMERIQUES MONTRANT LES PERFORMANCES DE LA METHODE. EXTENSIONS DE LA FORMULATION STATIQUE, POUR RESOUDRE DES PROBLEMES SPECIFIQUES DE FLEXION DE PLAQUES OU D'ECOULEMENTS PLANS DE STOKES AVEC APPLICATION A LA DETERMINATION DE LA SURFACE LIBRE D'UN FILM LUBRIFIANT
Author: Dr Jitendra Singh
Publisher: Dr. Jitendra Singh
ISBN:
Category : Education
Languages : en
Pages : 138
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Book Description
This book is part of the P-17 series designed specifically for the CSIR NET (JRF) in Mathematical Sciences and other competitive mathematics examinations. Integral equations play a crucial role in various fields, including applied mathematics, physics, and engineering. This text aims to provide a comprehensive introduction to integral equations, offering both theoretical insights and practical problem-solving techniques. Chapter 1 lays the groundwork by differentiating between Fredholm and Volterra integral equations and clarifying the distinctions between first- and second-kind integral equations. Understanding these foundational concepts is essential for tackling more complex topics. In Chapter 2, we explore several methods for solving integral equations, including the resolvent kernel method and the Neumann series approach. These techniques provide powerful tools for both analytical and numerical solutions. Chapter 3 delves into separable kernels, showcasing their significance in solving integral equations and their applications in mathematical physics and engineering contexts. Chapter 4 addresses eigenvalue problems, connecting characteristic numbers and eigenfunctions to the well-established Sturm-Liouville theory, which is pivotal in understanding the spectral properties of differential operators. Finally, Chapter 5 discusses the resolvent kernel, detailing its theory and applications in solving integral equations effectively. This book aims to equip students and researchers with the knowledge and skills necessary to navigate the complexities of integral equations, fostering a deeper appreciation for their applications in both pure and applied mathematics.
Author: S. G. Mikhlin
Publisher: Elsevier
ISBN: 1483226271
Category : Mathematics
Languages : en
Pages : 354
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Book Description
Integral Equations: And their Applications to Certain Problems in Mechanics, Mathematical Physics and Technology, Second Revised Edition contains an account of the general theory of Fredholm and Hilbert-Schmidt. This edition discusses methods of approximate solution of Fredholm's equation and, in particular, their application to the solution of basic problems in mathematical physics, including certain problems in hydrodynamics and the theory of elasticity. Other topics include the equations of Volterra type, determination of the first eigenvalue by Ritz's method, and systems of singular integral equations. The generalized method of Schwarz, convergence of successive approximations, stability of a rod in compression, and mixed problem of the theory of elasticity are also elaborated. This publication is recommended for mathematicians, students, and researchers concerned with singular integral equations.
Author: G.E.O. Giacaglia
Publisher: Springer Science & Business Media
ISBN: 3642463193
Category : Technology & Engineering
Languages : en
Pages : 385
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Book Description
This volume includes original papers presented at the 4th Symposium on Satellite Dynamics held at the XII Annual Plenary Meeting of COSPAR. At a time where it might be thought that very few problems were left un solved in celestial mechanics, we discover that new and more challenging questions must be answered. The pre cision of observations reaches the centimeter level and physical phenomena which had been disregarded come into play. We need a better treatment of atmospheric drag, radiation forces, and a better knowledge of the earth's gravitational field. Time has to be precisely defined as well as reference systems, including improved values for precision and nutation. The question of resonances introduced by nonzonal harmonics was to be carefully in vestigated. Numerical integration techniques must be optimized and means of controlling their errors improved. Analytical techniques must be made appropriate for com puter processing. Presently existing methods of solu tions of differential equations of interest to celestial mechanics are getting cumbersome as all these new facts come to light. It is clear that entirely new and more effective methods are necessary. These methods must, among other requirements, take into account the essential nonlinear character of the equations. Finally, the mo tion about the center of mass of a satellite is becoming an essential need for the thorough understanding and de scription of the orbital motion.
Author: Mario Paul Ahues
Publisher: Springer Science & Business Media
ISBN: 0817681841
Category : Mathematics
Languages : en
Pages : 296
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Book Description
* Good reference text; clusters well with other Birkhauser integral equations & integral methods books (Estrada and Kanwal, Kythe/Puri, Constanda, et al). * Includes many practical applications/techniques for applied mathematicians, physicists, engineers, grad students. * The contributors to the volume draw from a number of physical domains and propose diverse treatments for various mathematical models through the use of integration as an essential solution tool. * Physically meaningful problems in areas related to finite and boundary element techniques, conservation laws, hybrid approaches, ordinary and partial differential equations, and vortex methods are explored in a rigorous, accessible manner. * The new results provided are a good starting point for future exploitation of the interdisciplinary potential of integration as a unifying methodology for the investigation of mathematical models.
