Pseudo-Differential Operators

Pseudo-Differential Operators

20 Mathematics Springer News 9/2008 springer.com/booksellers J. Awrejcewicz, Y. Pyryev, Technical University of P. Bernhard, University of Nice, Sophia Antipolis, B. Bollobás, R. Kozma, University of Memphis, TN, Lodz, Poland France; V. Gaitsgory, University of South Australia, USA; D. Miklós, Hungarian Academy of Sciences, Mawson Lakes, Australia; O. Pourtallier, INRIA, Budapest, Hungary (Eds.) Nonsmooth Dynamics of Sophia Antipolis Cedex, France (Eds.) Contacting Thermoelastic Handbook of Large-Scale Advances in Dynamic Games Random Networks Bodies and their Applications Analytical and Numerical Developments This work is devoted to an intensive study in This handbook describes advances in large scale contact mechanics, treating the nonsmooth network studies that have taken place in the past dynamics of contacting bodies. Mathematical This collection of selected contributions gives 5 years since the publication of the Handbook of modeling is illustrated and discussed in numerous an account of recent developments in dynamic Graphs and Networks in 2003. It covers all aspects examples of engineering objects working in game theory and its applications, covering both of large-scale networks, including mathematical different kinematic and dynamic environments. theoretical advances and new applications of foundations and rigorous results of random graph Topics covered in five self-contained chapters dynamic games. Written by experts in their respec- theory, modeling and computational aspects of examine non-steady dynamic phenomena which tive disciplines, the chapters are an outgrowth of large-scale networks, as well as areas in physics, are determined by key factors: i.e., heat conduc- presentations from the International Symposium biology, neuroscience, sociology and technical tion, thermal stresses, and the amount of wearing. on Dynamic Games and Applications. areas. Applications range from microscopic to New to this monograph is the importance of the Key topics covered include such areas as dynamic- mesoscopic and macroscopic models.The book inertia factor, which is considered on par with differential games theoretic developments, is based on the material of the NSF workshop on thermal stresses. numerical approaches to dynamic-differential Large-scale Random Graphs held in Budapest in The book is an engaging accessible practical games, pursuit-evasion (P-E) games, search 2006, at the Alfréd Rényi Institute of Mathematics, reference for engineers (civil, mechanical, indus- games, evolutionary games, stopping games, and organized jointly with the University of Memphis. trial) and researchers in theoretical and applied stochastic and large ‘neighbourhood’ games. mechanics, applied mathematics, physicists, and The work will serve as a state-of-the-art account Features graduate students. of recent advances in dynamic game theory and Offers a comprehensive overview of random its applications for researchers, practitioners, and graphs and networksEmphasis on model- Features advanced students in applied mathematics, math- ling complex real-world networks such as brains, Intended readership broadDraws on ematical finance, and engineering. biological and physical memories, computer multiple disciplines, e.g., mechanics, applied systems and communicationNew conjectures mathematics, engineering, and physicsUnique Features are outlined and new directions for future research monograph to address the topic of dynamic Collection of selected contributions giving a are definedA link is established between the contact problems in thermoelasticity, which take state-of-the-art account of recent developments fundamental mathematical, graph theoretical into account inertial effects and influence of ther- in dynamic game theroy and its applications approach and the approach based on methods of moelastic coupling for models of solids in contact Written by experts in their respective disci- statistical physics Presents solutions describe many interesting plinesBroad audience of researchers, practi- nonlinear effects tioners, and advanced graduate students in applied Fields of interest mathematics and engineering Combinatorics; Mathematical Modeling and Contents Industrial Mathematics; Simulation and Modeling Preface.- Nomenclature.- 1. Introduction.- Fields of interest 2. Thermoelastic Contact of Shaft and Bush in Game Theory, Economics, Social and Behav. Target groups Wear Regime.- 3. Thermoelastic Contact of Paral- Sciences; Mathematics, general; Applications of Researchers and graduate students lelepiped Moving Along Walls.- 4. Contact Charac- Mathematics teristics During Braking Process.- 5. Thermoelastic Discount group Contact of Two Moving Layers with Friction and Target groups P Wear.- Bibiography.- Index. Researchers, practitioners, and advanced students in applied mathematics, mathematical finance, and Fields of interest engineering Numerical Analysis; Mechanics; Mathematical Modeling and Industrial Mathematics Discount group P Target groups Engineers (civil, mechanical, industrial), graduate students, and researchers in theoretical and applied mechanics, applied mathematics, and applied physics Discount group P Due September 2008 Due October 2008 Due December 2008 2009. Approx. 500 p. 100 illus. (Annals of the Interna- 2008. Approx. 600 p. (Bolyai Society Mathematical 2009. Approx. 310 p. 121 illus. Hardcover tional Society of Dynamic Games, Volume 10) Hardcover Studies, Volume 18) Hardcover $129.00 approx. $149.00 $199.00 ISBN 978-0-387-09652-0 ISBN 978-0-8176-4833-6 ISBN 978-3-540-69394-9 springer.com/librarybooks Springer News 9/2008 Mathematics 21 R. Ciegis, Vilnius Gediminas Technical University, C. Corduneanu, University of Texas, Arlington, TX, Y. Efendiev, Texas A & M University, College Station, Lithuania; D. Henty, University of Edinburgh, UK; USA TX, USA; T. Y. Hou, California Institute of Technology, B. Kågström, Umeå University, Sweden; J. Žilinskas, Pasadena, CA, USA Vilnius Gediminas Technical University, Lithuania Almost Periodic Oscillations (Eds.) and Waves Multiscale Finite Element Parallel Scientific Computing Methods Theory and Applications and Optimization This text is well-designed with respect to the expo- Advances and Applications sition from the preliminary to the more advanced and the applications interwoven throughout. It This expository softcover book surveys the main provides the essential foundations for the theory as concepts and recent advances in multiscale finite This work introduces new developments in the well as the basic facts relating to almost period- element methods. This monograph is intended construction, analysis, and implementation of icity. In six structured and self-contained chapters, for the broader audiences including engineers, parallel computing algorithms. This book presents the author unifies the treatment of various classes applied scientists and those who are interested in 23 self-contained chapters, including survey chap- of almost periodic functions, while uniquely multiscale simulations. ters written by distinguished researchers in the addressing oscillations and waves in the almost Each chapter of the book starts with a simple field of parallel computing. Each chapter is devoted periodic case. introduction and the description of the proposed to some aspects of the subject: parallel algorithms This is the first text to present the latest results methods as with motivating examples. Numerical for matrix computations, parallel optimization, in almost periodic oscillations and waves. The examples demonstrating the significance of the management of parallel programming models and presentation level and inclusion of several clearly proposed methods are presented in each chapter. data, with the largest focus on parallel scientific presented proofs make this work ideal for graduate Yalchin Efendiev is a professor at Texas A&M computing in industrial applications. students in engineering and science. The concepts University in College Station, Texas and Thomas Key features include: construction and analysis of almost periodicity are widely applicable Hou is a professor at California Institute of Tech- of parallel algorithms for linear algebra and to Continuum Mechanics, Electromagnetic nology in Pasadena, California. optimization problems; different aspects of parallel Theory, Plasma Physics, Dynamical Systems, and architechtures, including distributed memory Astronomy, which makes the book a useful tool for Features computers with multicore processors; a wide range mathematicians and physicists. Simple introductions and descriptions at the of industrial applications: parallel simulation of beginning of each chapterShort, user-friendly flows through oil filters as well as in porous and Features narrative approach suitable for engineers gas media, jet aerodynamics, heat conduction in Author is a renowned expert in the fields of Combines practical introduction, numerical electrical cables, nonlinear optics processes in PDEs and ODEsAn introduction to metric results and analysis of multiscale finite element tapered lasers, and molecular and cell dynamics. spacesPresentation of several classes of almost methods periodic functions, including those of Bohr, Features Besicovitch, and StepanovConvergence of Contents Includes 23 survey articles written by distin- Fourier Analysis to almost any periodic function Introduction.- Multiscale finite element methods guished mathematiciansPresents new develop- Almost periodic solutions for ODEs in a linear for linear problems and overview.- Mutiscale finite

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