Download or read book Analyse a posteriori d algorithmes it ratifs pour des probl mes non lin aires written by Jad Dakroub and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: La résolution numérique de n'importe quelle discrétisation d'équations aux dérivées partielles non linéaires requiert le plus souvent un algorithme itératif. En général, la discrétisation des équations aux dérivées partielles donne lieu à des systèmes de grandes dimensions. Comme la résolution des grands systèmes est très coûteuse en terme de temps de calcul, une question importante se pose: afin d'obtenir une solution approchée de bonne qualité, quand est-ce qu'il faut arrêter l'itération afin d'éviter les itérations inutiles ? L'objectif de cette thèse est alors d'appliquer, à différentes équations, une méthode qui nous permet de diminuer le nombre d'itérations de la résolution des systèmes en gardant toujours une bonne précision de la méthode numérique. En d'autres termes, notre but est d'appliquer une nouvelle méthode qui fournira un gain remarquable en terme de temps de calcul. Tout d'abord, nous appliquons cette méthode pour un problème non linéaire modèle. Nous effectuons l'analyse a priori et a posteriori de la discrétisation par éléments finis de ce problème et nous proposons par la suite deux algorithmes de résolution itérative correspondants. Nous calculons les estimations d'erreur a posteriori de nos algorithmes itératifs proposés et nous présentons ensuite quelques résultats d'expérience numériques afin de comparer ces deux algorithmes. Nous appliquerons de même cette approche pour les équations de Navier-Stokes. Nous proposons un schéma itératif et nous étudions la convergence et l'analyse a priori et a posteriori correspondantes. Finalement, nous présentons des simulations numériques montrant l'efficacité de notre méthode.
Download or read book Contribution la r solution num rique de probl mes non lin aires written by Christian Fray and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematical Writings of variste Galois written by Évariste Galois and published by European Mathematical Society. This book was released on 2011 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Download or read book Optimization Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Download or read book High Performance Concrete written by Y. Malier and published by CRC Press. This book was released on 2018-05-08 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a thorough review of properties, durability and use of high performance concrete, derived from recent research and experience. This book contains contributions from the leading French, Canadian and Swiss researchers, designers and material specialists, translated into English for the first time.
Download or read book Realizing the Abidjan Principles on the Right to Education written by Frank Adamson and published by Edward Elgar Publishing. This book was released on 2021-05-28 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This insightful book analyses the process of the first adoption of guiding human rights principles for education, the Abidjan Principles. It explains the development of the Abidjan Principles, including their articulation of the right to education, the state obligation to provide quality public education, and the role of private actors in education.
Download or read book Dynamique Non lin aire Et Le Chaos written by and published by . This book was released on 1993 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiple Criteria Optimization written by Xavier Gandibleux and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: The generalized area of multiple criteria decision making (MCDM) can be defined as the body of methods and procedures by which the concern for multiple conflicting criteria can be formally incorporated into the analytical process. MCDM consists mostly of two branches, multiple criteria optimization and multi-criteria decision analysis (MCDA). While MCDA is typically concerned with multiple criteria problems that have a small number of alternatives often in an environment of uncertainty (location of an airport, type of drug rehabilitation program), multiple criteria optimization is typically directed at problems formulated within a mathematical programming framework, but with a stack of objectives instead of just one (river basin management, engineering component design, product distribution). It is about the most modern treatment of multiple criteria optimization that this book is concerned. I look at this book as a nicely organized and well-rounded presentation of what I view as ”new wave” topics in multiple criteria optimization. Looking back to the origins of MCDM, most people agree that it was not until about the early 1970s that multiple criteria optimization c- gealed as a field. At this time, and for about the following fifteen years, the focus was on theories of multiple objective linear programming that subsume conventional (single criterion) linear programming, algorithms for characterizing the efficient set, theoretical vector-maximum dev- opments, and interactive procedures.
Download or read book Predicting Structured Data written by Neural Information Processing Systems Foundation and published by MIT Press. This book was released on 2007 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: State-of-the-art algorithms and theory in a novel domain of machine learning, prediction when the output has structure.
Download or read book Classical and Modern Potential Theory and Applications written by K. GowriSankaran and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993
Download or read book Four Decades of Scientific Explanation written by Wesley C. Salmon and published by University of Pittsburgh Press. This book was released on 2006-06-15 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: As Aristotle stated, scientific explanation is based on deductive argument-yet, Wesley C. Salmon points out, not all deductive arguments are qualified explanations. The validity of the explanation must itself be examined. Four Decades of Scientific Explanation provides a comprehensive account of the developments in scientific explanation that transpired in the last four decades of the twentieth century. It continues to stand as the most comprehensive treatment of the writings on the subject during these years.Building on the historic 1948 essay by Carl G. Hempel and Paul Oppenheim, "Studies in the Logic of Explanation," which introduced the deductive-nomological (D-N) model on which most work on scientific explanation was based for the following four decades, Salmon goes beyond this model's inherent basis of describing empirical knowledge to tells us "not only what, but also why." Salmon examines the predominant models in chronological order and describes their development, refinement, and criticism or rejection.Four Decades of Scientific Explanation underscores the need for a consensus of approach and ongoing evaluations of methodology in scientific explanation, with the goal of providing a better understanding of natural phenomena.
Download or read book Physics on Manifolds written by M. Flato and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Colloquium "Analysis, Manifolds and Physics" organized in honour of Yvonne Choquet-Bruhat by her friends, collaborators and former students, on June 3, 4 and 5, 1992 in Paris. Its title accurately reflects the domains to which Yvonne Choquet-Bruhat has made essential contributions. Since the rise of General Relativity, the geometry of Manifolds has become a non-trivial part of space-time physics. At the same time, Functional Analysis has been of enormous importance in Quantum Mechanics, and Quantum Field Theory. Its role becomes decisive when one considers the global behaviour of solutions of differential systems on manifolds. In this sense, General Relativity is an exceptional theory in which the solutions of a highly non-linear system of partial differential equations define by themselves the very manifold on which they are supposed to exist. This is why a solution of Einstein's equations cannot be physically interpreted before its global behaviour is known, taking into account the entire hypothetical underlying manifold. In her youth, Yvonne Choquet-Bruhat contributed in a spectacular way to this domain stretching between physics and mathematics, when she gave the proof of the existence of solutions to Einstein's equations on differential manifolds of a quite general type. The methods she created have been worked out by the French school of mathematics, principally by Jean Leray. Her first proof of the local existence and uniqueness of solutions of Einstein's equations inspired Jean Leray's theory of general hyperbolic systems.
Download or read book Linear Difference Equations and Their Analytic Solutions written by Robert Daniel Carmichael and published by . This book was released on 1911 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A History of the Theory of Elasticity and of the Strength of Materials written by Isaac Todhunter and published by . This book was released on 1886 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Persistence Theory From Quiver Representations to Data Analysis written by Steve Y. Oudot and published by American Mathematical Soc.. This book was released on 2017-05-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
Download or read book Interpolation Spaces written by J. Bergh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.
Download or read book My Numbers My Friends written by Paulo Ribenboim and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.
