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Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine blades, shells, smart materials and microdiffractive optics. This volume contains original articles by world reknowned experts in the fields of optimal control of partial differential equations, shape optimization, numerical methods for partial differential equations and fluid dynamics, all of whom have contributed to the analysis and solution of many of the problems discussed. The collection provides a state-of-the-art overview of the most challenging and exciting recent developments in the field. It is geared towards postgraduate students and researchers dealing with the theoretical and practical aspects of a wide variety of high technology problems in applied mathematics, fluid control, optimal design, and computer modelling.

Mathematical optimization --- Control theory --- Differential equations, Partial --- 517.97 --- 519.711 --- Calculus of variations. Mathematical theory of control --- General questions of control theory. Models. Modelling. Coding. Theory of nets --- Conferences - Meetings --- 519.711 General questions of control theory. Models. Modelling. Coding. Theory of nets --- 517.97 Calculus of variations. Mathematical theory of control --- Applied mathematics. --- Engineering mathematics. --- Computer science. --- Engineering. --- Applications of Mathematics. --- Computer Science, general. --- Engineering, general. --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Mathematical optimization - Congresses --- Control theory - Congresses --- Differential equations, Partial - Congresses

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This book presents major advances in high performance computing as well as major advances due to high performance computing. It contains a collection of papers in which results achieved in the collaboration of scientists from computer science, mathematics, physics, and mechanical engineering are presented. From the science problems to the mathematical algorithms and on to the effective implementation of these algorithms on massively parallel and cluster computers we present state-of-the-art methods and technology as well as exemplary results in these fields. This book shows that problems which seem superficially distinct become intimately connected on a computational level.

Parallel algorithms. --- Parallel processing (Electronic computers) --- Electronic data processing --- Distributed processing. --- Distributed computer systems in electronic data processing --- Distributed computing --- Distributed processing in electronic data processing --- Computer networks --- High performance computing --- Multiprocessors --- Parallel programming (Computer science) --- Supercomputers --- Algorithms --- Computer science. --- Data structures (Computer scienc. --- Computer Communication Networks. --- Computer science --- Mechanical engineering. --- Computational Science and Engineering. --- Data Structures. --- Computational Mathematics and Numerical Analysis. --- Theoretical, Mathematical and Computational Physics. --- Mechanical Engineering. --- Mathematics. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computer mathematics --- Discrete mathematics --- Informatics --- Science --- Mathematics --- Data structures (Computer science) --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Computer mathematics. --- Data structures (Computer science). --- Computer communication systems. --- Mathematical physics. --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Network computers --- Physical mathematics --- Physics --- Distributed processing

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In recent years statistical physics has made significant progress as a result of advances in numerical techniques. While good textbooks exist on the general aspects of statistical physics, the numerical methods and the new developments based on large-scale computing are not usually adequately presented. In this book 16 experts describe the application of methods of statistical physics to various areas in physics such as disordered materials, quasicrystals, semiconductors, and also to other areas beyond physics, such as financial markets, game theory, evolution, and traffic planning, in which statistical physics has recently become significant. In this way the universality of the underlying concepts and methods such as fractals, random matrix theory, time series, neural networks, evolutionary algorithms, becomes clear. The topics are covered by introductory, tutorial presentations.

531.19 --- Statistical physics --- -Statistical physics --- -Physics --- Mathematical statistics --- Physics --- Statistical mechanics --- Data processing --- Methodology --- Statistical methods --- Data processing. --- Methodology. --- -Statistical mechanics --- 531.19 Statistical mechanics --- -531.19 Statistical mechanics --- Statistical physics. --- Dynamical systems. --- Physics. --- Statistics . --- Complex Systems. --- Numerical and Computational Physics, Simulation. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Statistical Physics and Dynamical Systems. --- Statistical analysis --- Statistical data --- Statistical science --- Mathematics --- Econometrics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics

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Control theory --- Differential equations, Partial --- Congresses --- Congresses

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Boundary value problems --- Congresses. --- -Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Congresses --- -Congresses --- Boundary value problems - Congresses