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11 Schulz, Michael Control Theory in Physics and other Fields of Science I07009 2006 eBook  
12 Basdevant, Jean-Louis Variational Principles in Physics I06783 2007 eBook  
13 Lieb, Elliott H The Stability of Matter: From Atoms to Stars I06244 2005 eBook  
14 Miron, R The Geometry of Higher-Order Lagrange Spaces I05321 1997 eBook  
15 Clarke, F.H Nonlinear Analysis, Differential Equations and Control I05048 1999 eBook  
16 Ciarlet, P.G Trends and Applications of Pure Mathematics to Mechanics I04768 1984 eBook  
17 Glowinski, Roland Numerical Methods for Nonlinear Variational Problems I04749 1984 eBook  
18 Jiang, Bo-nan The Least-Squares Finite Element Method I03760 1998 eBook  
19 Delfour, Michel C Shape Optimization and Free Boundaries I03478 1992 eBook  
20 Chui, Charles K Discrete H??? Optimization I03397 1997 eBook  
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11.    
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TitleControl Theory in Physics and other Fields of Science : Concepts, Tools, and Applications
Author(s)Schulz, Michael
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2006.
DescriptionIX, 296 p. 46 illus : online resource
Abstract NoteThis book covers systematically and in a simple language the mathematical and physical foundations of controlling deterministic and stochastic evolutionary processes in systems with a high degree of complexity. Strong emphasis is placed on concepts, methods and techniques for modelling, assessment and the solution or estimation of control problems in an attempt to understand the large variability of these problems in several branches of physics, chemistry and biology as well as in technology and economics. The main focus of the book is on a clear physical and mathematical understanding of the dynamics and kinetics behind several kinds of control problems and their relation to self-organizing principles in complex systems. The book is a modern introduction and a helpful tool for researchers, engineers as well as post-docs and graduate students interested in an application oriented control theory and related topics
ISBN,Price9783540324171
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. COMPLEX SYSTEMS 4. DYNAMICAL SYSTEMS 5. EBOOK 6. EBOOK - SPRINGER 7. STATISTICAL PHYSICS 8. Statistical Physics and Dynamical Systems
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12.     
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TitleVariational Principles in Physics
Author(s)Basdevant, Jean-Louis
PublicationNew York, NY, Springer New York, 2007.
DescriptionX, 183 p : online resource
Abstract NoteOptimization under constraints is an essential part of everyday life. Indeed, we routinely solve problems by striking a balance between contradictory interests, individual desires and material contingencies. This notion of equilibrium was dear to thinkers of the enlightenment, as illustrated by Montesquieu???s famous formulation: "In all magistracies, the greatness of the power must be compensated by the brevity of the duration." Astonishingly, natural laws are guided by a similar principle. Variational principles have proven to be surprisingly fertile. For example, Fermat used variational methods to demonstrate that light follows the fastest route from one point to another, an idea which came to be known as Fermat???s principle, a cornerstone of geometrical optics. Variational Principles in Physics explains variational principles and charts their use throughout modern physics. The heart of the book is devoted to the analytical mechanics of Lagrange and Hamilton, the basic tools of any physicist. Prof. Basdevant also offers simple but rich first impressions of Einstein???s General Relativity, Feynman???s Quantum Mechanics, and more revealing and amazing interconnections between various fields of physics. A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and former Chair of the Department of Physics at the Ecole Polytechnique, and Director of Research for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in the Leprince-Ringuet Laboratory at the Ecole Polytechnique
ISBN,Price9780387377483
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. History and Philosophical Foundations of Physics 7. Mathematical Methods in Physics 8. MATHEMATICAL OPTIMIZATION 9. MECHANICS 10. Mechanics, Applied 11. OPTIMIZATION 12. PHYSICS 13. Theoretical and Applied Mechanics
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13.     
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TitleThe Stability of Matter: From Atoms to Stars : Selecta of Elliott H. Lieb
Author(s)Lieb, Elliott H;Thirring, Walter
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2005.
DescriptionXVI, 932 p : online resource
Abstract NoteThis collection of papers -- starting with a brilliant article by one of the masters of the field -- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E.H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages
ISBN,Price9783540270560
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CONDENSED MATTER 6. CONDENSED MATTER PHYSICS 7. EBOOK 8. EBOOK - SPRINGER 9. Elementary particles (Physics) 10. Elementary Particles, Quantum Field Theory 11. MATHEMATICAL ANALYSIS 12. Mathematical Methods in Physics 13. PHYSICS 14. QUANTUM FIELD THEORY 15. QUANTUM PHYSICS
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14.     
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TitleThe Geometry of Higher-Order Lagrange Spaces : Applications to Mechanics and Physics
Author(s)Miron, R
PublicationDordrecht, Springer Netherlands, 1997.
DescriptionXV, 336 p : online resource
ISBN,Price9789401733380
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. CLASSICAL MECHANICS 4. DIFFERENTIAL GEOMETRY 5. EBOOK 6. EBOOK - SPRINGER 7. LASERS 8. MATHEMATICAL PHYSICS 9. MECHANICS 10. Optics, Lasers, Photonics, Optical Devices 11. PHOTONICS 12. PHYSICS 13. Physics, general 14. Theoretical, Mathematical and Computational Physics
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15.     
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TitleNonlinear Analysis, Differential Equations and Control
Author(s)Clarke, F.H;Stern, R.J
PublicationDordrecht, Springer Netherlands, 1999.
DescriptionXIX, 602 p. 1 illus : online resource
Abstract NoteRecent years have witnessed important developments in those areas of the mathematical sciences where the basic model under study is a dynamical system such as a differential equation or control process. Many of these recent advances were made possible by parallel developments in nonlinear and nonsmooth analysis. The latter subjects, in general terms, encompass differential analysis and optimization theory in the absence of traditional linearity, convexity or smoothness assumptions. In the last three decades it has become increasingly recognized that nonlinear and nonsmooth behavior is naturally present and prevalent in dynamical models, and is therefore significant theoretically. This point of view has guided us in the organizational aspects of this ASI. Our goals were twofold: We intended to achieve "cross fertilization" between mathematicians who were working in a diverse range of problem areas, but who all shared an interest in nonlinear and nonsmooth analysis. More importantly, it was our goal to expose a young international audience (mainly graduate students and recent Ph. D. 's) to these important subjects. In that regard, there were heavy pedagogical demands placed upon the twelve speakers of the ASI, in meeting the needs of such a gathering. The talks, while exposing current areas of research activity, were required to be as introductory and comprehensive as possible. It is our belief that these goals were achieved, and that these proceedings bear this out. Each of the twelve speakers presented a mini-course of four or five hours duration
ISBN,Price9789401145602
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. EBOOK 4. EBOOK - SPRINGER 5. FUNCTIONAL ANALYSIS 6. FUNCTIONS OF REAL VARIABLES 7. MATHEMATICAL OPTIMIZATION 8. OPTIMIZATION 9. PARTIAL DIFFERENTIAL EQUATIONS 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. REAL FUNCTIONS
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16.     
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TitleTrends and Applications of Pure Mathematics to Mechanics : Invited and Contributed Papers presented at a Symposium at Ecole Polytechnique, Palaiseau, France, November 28 ??? December 2, 1983
Author(s)Ciarlet, P.G;Roseau, M
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionV, 422 p. 27 illus : online resource
ISBN,Price9783540388005
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. CALCULUS OF VARIATIONS 4. Calculus of Variations and Optimal Control; Optimization 5. CLASSICAL MECHANICS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MECHANICS 10. QUANTUM COMPUTERS 11. Quantum Information Technology, Spintronics 12. QUANTUM PHYSICS 13. SPINTRONICS 14. SYSTEM THEORY 15. Systems Theory, Control
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17.     
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TitleNumerical Methods for Nonlinear Variational Problems
Author(s)Glowinski, Roland
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1984.
DescriptionXVII, 493 p : online resource
Abstract NoteMany mechanics and physics problems have variational formulations making them appropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications. "Numerical Methods for Nonlinear Variational Problems", originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advanced students
ISBN,Price9783662126134
Keyword(s)1. APPLIED MATHEMATICS 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. Classical and Continuum Physics 5. Computational Intelligence 6. Computational Mathematics and Numerical Analysis 7. Computer mathematics 8. Continuum physics 9. EBOOK 10. EBOOK - SPRINGER 11. ENGINEERING MATHEMATICS 12. Mathematical and Computational Engineering 13. Numerical and Computational Physics, Simulation 14. PHYSICS
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18.     
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TitleThe Least-Squares Finite Element Method : Theory and Applications in Computational Fluid Dynamics and Electromagnetics
Author(s)Jiang, Bo-nan
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1998.
DescriptionXVI, 418 p : online resource
Abstract NoteThis is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves
ISBN,Price9783662037409
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. Classical and Continuum Physics 4. CLASSICAL ELECTRODYNAMICS 5. Computational Science and Engineering 6. Computer mathematics 7. Continuum physics 8. EBOOK 9. EBOOK - SPRINGER 10. ELECTRODYNAMICS 11. Fluid- and Aerodynamics 12. FLUIDS 13. Numerical and Computational Physics, Simulation 14. OPTICS 15. PHYSICS
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19.     
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TitleShape Optimization and Free Boundaries
Author(s)Delfour, Michel C
PublicationDordrecht, Springer Netherlands, 1992.
DescriptionXVIII, 462 p. 13 illus : online resource
Abstract NoteShape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc. Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc. The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems
ISBN,Price9789401127103
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. Mathematical Modeling and Industrial Mathematics 7. MATHEMATICAL MODELS 8. MECHANICS
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20.    
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TitleDiscrete H??? Optimization : With Applications in Signal Processing and Control Systems
Author(s)Chui, Charles K;Chen, Guanrong
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 1997.
DescriptionXIII, 261 p : online resource
Abstract NoteDiscrete H?? Optimization is concerned with the study of H?? optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for self-study. The advanced mathermatical results derived here are applicabel to digital control systems and digital filtering
ISBN,Price9783642591457
Keyword(s)1. CALCULUS OF VARIATIONS 2. Calculus of Variations and Optimal Control; Optimization 3. Communications Engineering, Networks 4. COMPLEXITY 5. COMPUTATIONAL COMPLEXITY 6. EBOOK 7. EBOOK - SPRINGER 8. ELECTRICAL ENGINEERING 9. IMAGE PROCESSING 10. Mathematical Methods in Physics 11. PHYSICS 12. SIGNAL PROCESSING 13. Signal, Image and Speech Processing 14. Speech processing systems 15. SYSTEM THEORY 16. Systems Theory, Control
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