Download or read book CONTRIBUTIONS A L ETUDE THEORIQUE ET A L APPROXIMATION DE SYSTEMES HYPERBOLIQUES NON LINEAIRES written by Philippe Le Floch and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developpement asymptotique de la solution du probleme de riemann generalise et application au systeme de la dynamique des gaz. Conditions aux limites pour des systemes de lois de conservation. Definition d'une solution faible entropique d'un systeme hyperbolique non lineaire sous forme non conservative. Application des resultats a la dynamique des gaz et a un systeme d'elastodynamique
Download or read book CONTRIBUTIONS A L ETUDE THEORIQUE ET A L APPROXIMATION DE SYSTEMES HYPERBOLIQUES NON LINEAIRES written by Philippe Le Floch and published by . This book was released on 1988 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: DEVELOPPEMENT ASYMPTOTIQUE DE LA SOLUTION DU PROBLEME DE RIEMANN GENERALISE ET APPLICATION AU SYSTEME DE LA DYNAMIQUE DES GAZ. CONDITIONS AUX LIMITES POUR DES SYSTEMES DE LOIS DE CONSERVATION. DEFINITION D'UNE SOLUTION FAIBLE ENTROPIQUE D'UN SYSTEME HYPERBOLIQUE NON LINEAIRE SOUS FORME NON CONSERVATIVE. APPLICATION DES RESULTATS A LA DYNAMIQUE DES GAZ ET A UN SYSTEME D'ELASTODYNAMIQUE
Download or read book Etude de syst mes hyperboliques non lin aires written by Bruno Dubroca and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: LA PREMIERE PARTIE DU TRAVAIL EST CONSACREE A L'ETUDE DES FORMULATIONS MATHEMATIQUES DE PROBLEMES MIXTES POUR DES SYSTEMES HYPERBOLIQUES NON LINEAIRES A UNE VARIABLE D'ESPACE. UN THEOREME D'EXISTENCE ET D'UNICITE EST DONNE DANS LE CAS DU P-SYSTEME. LA DEUXIEME PARTIE EST CONSACREE A L'ETUDE DE SCHEMAS NUMERIQUES POUR L'APPROXIMATION DE SYSTEMES HYPERBOLIQUES NON LINEAIRES A DEUX VARIABLES D'ESPACE. UN SCHEMA ADAPTE A LA CAPTURE DES CHOCS OBLIQUES EST PROPOSE. LE TRAVAIL SE TERMINE PAR LA DESCRIPTION RAPIDE D'UN CODE DE CALCUL D'AERODYNAMIQUE SUPERSONIQUE ET PAR LA PRESENTATION DE RESULTATS NUMERIQUES
Download or read book Analyse et approximation num rique de syst mes hyperboliques de lois de conservation avec termes sources written by Laurent Emmanuel Gosse and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: On s'intéresse dans cette thèse à l'étude des systèmes hyperboliques de lois de conservation non-linéaires avec termes sources. D'un point de vue théorique, on commence par étudier le problème de Riemann généralisé. Ensuite, on montre qu'une condition suffisante de convergence des approximations visqueuses pour une loi scalaire non-homogène est d'assurer une estimation uniforme en amplitude. Le problème est plus délicat pour un système. L'étude des discrétisations implicites d'une loi scalaire générale montre qu'il existe des conditions de type CFL pour garantir l'invisibilité du schéma et prévenir l'apparition d'oscillations parasites dans la solution numérique. On introduit ensuite un schéma "well-balanced" au sens de Greenberg et Leroux convergeant vers la solution entropique dans le cas scalaire. L'extension aux systèmes généraux se fait par le biais d'une reformulation des termes sources en produits non-conservatifs. On calcule alors une linéarisée de type Roe pour les équations d'Euler non-homogènes. Par souci de robustesse, on dérive aussi un schéma de type "décomposition de flux" non-conservatif permettant d'approcher des systèmes variés et consistant avec les limites relaxées. Des tests sont aussi effectués en régime résonant et pour des problèmes diphasiques simplifiés bidimensionnels.
Download or read book Approximation de probl mes hyperboliques non lin aires quations de Hamilton Jacobi et applications written by Philippe Hoch (mathématicien).) and published by . This book was released on 2000 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse concerne d'une part l'approximation numérique de systèmes hyperboliques non-linéaires, et d'autre part les applications d'équations de Hamilton-Jacobi. Dans la première partie, on s'est intéressé à l'approximation numérique d'un exemple pathologique de p-système, pour lequel il existe des solutions périodiques en x et t, qui comportent de grands pics localisés près du centre d'ondes de compression centrées. Sur ce problème -et sur les équations d'Euler- nous avons testé les schémas de relaxation avec deux relaxations différentes, nous avons comparé systématiquement les résultats numériques avec les autres schémas classiques d'ordre élevé (supérieur ou égal à deux). Dans la deuxième partie, on a généralisé l'approche par ensemble de niveau à la Osher-Sethian pour la génération de maillage. Pour l'équation eikonale usuelle, on engendre ainsi la famille de courbes ct = {x ; d(x, co) = t}. L'idée est de faire avancer les points à vitesse Riemannienne constante sur le graphe d'une approximation d'une fonction z de manière à resserrer leurs projections dans la région où ce graphe est "raide". On étudie l'équation de Hamilton-Jacobi anisotrope sous-jacente ainsi que le problème stationnaire associé. Nous proposons des schémas, présentons et discutons des résultats numériques sur la génération de maillages et la détections de contours
Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Download or read book Bogoliubov de Gennes Method and Its Applications written by Jian-Xin Zhu and published by Springer. This book was released on 2016-06-21 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.
Download or read book Geometric Properties of Banach Spaces and Nonlinear Iterations written by Charles Chidume and published by Springer Science & Business Media. This book was released on 2009-03-27 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this monograph fall within the general area of nonlinear functional analysis and applications. We focus on an important topic within this area: geometric properties of Banach spaces and nonlinear iterations, a topic of intensive research e?orts, especially within the past 30 years, or so. In this theory, some geometric properties of Banach spaces play a crucial role. In the ?rst part of the monograph, we expose these geometric properties most of which are well known. As is well known, among all in?nite dim- sional Banach spaces, Hilbert spaces have the nicest geometric properties. The availability of the inner product, the fact that the proximity map or nearest point map of a real Hilbert space H onto a closed convex subset K of H is Lipschitzian with constant 1, and the following two identities 2 2 2 ||x+y|| =||x|| +2 x,y +||y|| , (?) 2 2 2 2 ||?x+(1??)y|| = ?||x|| +(1??)||y|| ??(1??)||x?y|| , (??) which hold for all x,y? H, are some of the geometric properties that char- terize inner product spaces and also make certain problems posed in Hilbert spaces more manageable than those in general Banach spaces. However, as has been rightly observed by M. Hazewinkel, “... many, and probably most, mathematical objects and models do not naturally live in Hilbert spaces”. Consequently,toextendsomeoftheHilbertspacetechniquestomoregeneral Banach spaces, analogues of the identities (?) and (??) have to be developed.
Download or read book Particle Modeling written by Donald Greenspan and published by Springer Science & Business Media. This book was released on 1997-09-23 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A reference for the field of particle modelling - the study of dynamical behaviour of solids and fluids in response to external forces, with the solids and fluids modelled as systems of atoms and molecules.
Download or read book An Eassay on the Psychology of Invention in the Mathematical Field written by Jacques Hadamard and published by Franklin Classics Trade Press. This book was released on 2018-11-11 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Finite Volumes for Complex Applications IX Methods Theoretical Aspects Examples written by Robert Klöfkorn and published by Springer Nature. This book was released on 2020-06-09 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 9th conference on "Finite Volumes for Complex Applications" (Bergen, June 2020) are structured in two volumes. The first volume collects the focused invited papers, as well as the reviewed contributions from internationally leading researchers in the field of analysis of finite volume and related methods. Topics covered include convergence and stability analysis, as well as investigations of these methods from the point of view of compatibility with physical principles. Altogether, a rather comprehensive overview is given on the state of the art in the field. The properties of the methods considered in the conference give them distinguished advantages for a number of applications. These include fluid dynamics, magnetohydrodynamics, structural analysis, nuclear physics, semiconductor theory, carbon capture utilization and storage, geothermal energy and further topics. The second volume covers reviewed contributions reporting successful applications of finite volume and related methods in these fields. The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability, making the finite volume methods compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. The book is a valuable resource for researchers, PhD and master’s level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as engineers working in numerical modeling and simulations.
Download or read book Jacques Hadamard written by Vladimir Gilelevič Mazʹâ and published by American Mathematical Soc.. This book was released on 1999 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.
Download or read book Quantum Theory and Symmetries written by M. B. Paranjape and published by Springer Nature. This book was released on 2021 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
Download or read book Working with the Anthropological Theory of the Didactic in Mathematics Education written by Marianna Bosch and published by Routledge. This book was released on 2019-10-23 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences. Written and edited by leading researchers in ATD, the book covers all aspects of ATD theory and practice, including teaching applications. The chapters feature the most relevant and recent investigations presented at the 6th international conference on the ATD, offering a unique opportunity for an international audience interested in the study of mathematics teaching and learning to keep in touch with advances in educational research. The book is divided into four sections and the contributions explore key topics such as: The core concept of ‘praxeology’, including its development and functionalities The need for new teaching praxeologies in the paradigm of questioning the world The impact of ATD on the teaching profession and the education of teachers This is the second volume in the New Perspectives on Research in Mathematics Education. This comprehensive casebook is an indispensable resource for researchers, teachers and graduate students around the world.
Download or read book Abstract Differential Equations written by Samuel Zaidman and published by San Francisco : Pitman Advanced Pub. Program. This book was released on 1979 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with linear differential equations in Banach and Hilbert spaces whose coefficients are linear unbounded operators. Looking for examples or applications, the most natural ones are found in the theory of partial differential equations: if to one of the variables is given a privilegiate position and all the others are put together obtains 'at once' an ordinary 'differential' equation with respect to the variable. Adding boundary conditions in order to ensure definiteness of the solutions can often be translated in terms of considering solutions in some convenient linear--often normed--function spaces.
Download or read book Non Euclidean Geometry in the Theory of Automorphic Functions written by Jacques Hadamard and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the English translation of a volume originally published only in Russian and now out of print. The book was written by Jacques Hadamard on the work of Poincare. Poincare's creation of a theory of automorphic functions in the early 1880s was one of the most significant mathematical achievements of the nineteenth century. It directly inspired the uniformization theorem, led to a class of functions adequate to solve all linear ordinary differential equations, and focused attention on a large new class of discrete groups. It was the first significant application of non-Euclidean geometry. This unique exposition by Hadamard offers a fascinating and intuitive introduction to the subject of automorphic functions and illuminates its connection to differential equations, a connection not often found in other texts.
Download or read book Satellite Situation Report written by and published by . This book was released on 1978-06-30 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
