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11 Miron, R The Geometry of Higher-Order Lagrange Spaces I05321 1997 eBook  
12 Clarke, F.H Nonlinear Analysis, Differential Equations and Control I05048 1999 eBook  
13 Ciarlet, P.G Trends and Applications of Pure Mathematics to Mechanics I04768 1984 eBook  
14 Glowinski, Roland Numerical Methods for Nonlinear Variational Problems I04749 1984 eBook  
15 Jiang, Bo-nan The Least-Squares Finite Element Method I03760 1998 eBook  
16 Delfour, Michel C Shape Optimization and Free Boundaries I03478 1992 eBook  
17 Chui, Charles K Discrete H??? Optimization I03397 1997 eBook  
18 Chui, Charles K Linear Systems and Optimal Control I03180 1989 eBook  
19 Chui, Charles K Signal Processing and Systems Theory I02353 1992 eBook  
20 Strobach, Peter Linear Prediction Theory I01472 1990 eBook  
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11.    
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TitleThe Geometry of Higher-Order Lagrange Spaces : Applications to Mechanics and Physics
Author(s)Miron, R
PublicationDordrecht, 1. Imprint: Springer 2. 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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12.     
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TitleNonlinear Analysis, Differential Equations and Control
Author(s)Clarke, F.H;Stern, R.J
PublicationDordrecht, 1. Imprint: Springer 2. 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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13.     
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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, 1. Imprint: Springer 2. 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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14.     
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TitleNumerical Methods for Nonlinear Variational Problems
Author(s)Glowinski, Roland
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. 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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15.     
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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, 1. Imprint: Springer 2. 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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16.     
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TitleShape Optimization and Free Boundaries
Author(s)Delfour, Michel C
PublicationDordrecht, 1. Imprint: Springer 2. 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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17.     
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TitleDiscrete H??? Optimization : With Applications in Signal Processing and Control Systems
Author(s)Chui, Charles K;Chen, Guanrong
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. 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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18.     
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TitleLinear Systems and Optimal Control
Author(s)Chui, Charles K;Chen, Guanrong
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1989.
DescriptionVIII, 155 p. 1 illus : online resource
Abstract NoteA knowledge of linear systems provides a firm foundation for the study of optimal control theory and many areas of system theory and signal processing. State-space techniques developed since the early sixties have been proved to be very effective. The main objective of this book is to present a brief and somewhat complete investigation on the theory of linear systems, with emphasis on these techniques, in both continuous-time and discrete-time settings, and to demonstrate an application to the study of elementary (linear and nonlinear) optimal control theory. An essential feature of the state-space approach is that both time-varying and time-invariant systems are treated systematically. When time-varying systems are considered, another important subject that depends very much on the state-space formulation is perhaps real-time filtering, prediction, and smoothing via the Kalman filter. This subject is treated in our monograph entitled "Kalman Filtering with Real-Time Applications" published in this Springer Series in Information Sciences (Volume 17). For time-invariant systems, the recent frequency domain approaches using the techniques of Adamjan, Arov, and Krein (also known as AAK), balanced realization, and oo H theory via Nevanlinna-Pick interpolation seem very promising, and this will be studied in our forthcoming monograph entitled "Mathematical Ap?? proach to Signal Processing and System Theory". The present elementary treatise on linear system theory should provide enough engineering and mathe?? of these two subjects
ISBN,Price9783642613128
Keyword(s)1. Business???Data processing 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. COMPLEXITY 5. COMPUTATIONAL COMPLEXITY 6. EBOOK 7. EBOOK - SPRINGER 8. ECONOMIC THEORY 9. Economic Theory/Quantitative Economics/Mathematical Methods 10. GEOPHYSICS 11. Geophysics/Geodesy 12. INFORMATION TECHNOLOGY 13. IT in Business 14. SYSTEM THEORY 15. Systems Theory, Control
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19.     
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TitleSignal Processing and Systems Theory : Selected Topics
Author(s)Chui, Charles K;Chen, Guanrong
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1992.
DescriptionXI, 267 p : online resource
Abstract Note"Signal Processing and Systems Theory" 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 mathematical results derived here are applicable to digital control systems and digital filtering
ISBN,Price9783642974069
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. Mathematical Methods in Physics 10. Numerical and Computational Physics, Simulation 11. PHYSICS 12. SYSTEM THEORY 13. Systems Theory, Control
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20.    
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TitleLinear Prediction Theory : A Mathematical Basis for Adaptive Systems
Author(s)Strobach, Peter
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 1990.
DescriptionXVI, 422 p : online resource
Abstract NoteLnear prediction theory and the related algorithms have matured to the point where they now form an integral part of many real-world adaptive systems. When it is necessary to extract information from a random process, we are frequently faced with the problem of analyzing and solving special systems of linear equations. In the general case these systems are overdetermined and may be characterized by additional properties, such as update and shift-invariance properties. Usually, one employs exact or approximate least-squares methods to solve the resulting class of linear equations. Mainly during the last decade, researchers in various fields have contributed techniques and nomenclature for this type of least-squares problem. This body of methods now constitutes what we call the theory of linear prediction. The immense interest that it has aroused clearly emerges from recent advances in processor technology, which provide the means to implement linear prediction algorithms, and to operate them in real time. The practical effect is the occurrence of a new class of high-performance adaptive systems for control, communications and system identification applications. This monograph presumes a background in discrete-time digital signal processing, including Z-transforms, and a basic knowledge of discrete-time random processes. One of the difficulties I have en?? countered while writing this book is that many engineers and computer scientists lack knowledge of fundamental mathematics and geometry
ISBN,Price9783642752063
Keyword(s)1. APPLIED MATHEMATICS 2. CALCULUS OF VARIATIONS 3. Calculus of Variations and Optimal Control; Optimization 4. COMBINATORICS 5. EBOOK 6. EBOOK - SPRINGER 7. ENGINEERING MATHEMATICS 8. Mathematical and Computational Engineering 9. Mathematical Methods in Physics 10. Numerical and Computational Physics, Simulation 11. PHYSICS 12. SYSTEM THEORY 13. Systems Theory, Control
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