Variational Analysis and Applications, Mordukhovich
Автор: Maitine Bergounioux, Gabriel Peyr?, Christoph Schn Название: Variational Methods: In Imaging and Geometric Control ISBN: 3110439239 ISBN-13(EAN): 9783110439236 Издательство: Walter de Gruyter Рейтинг: Цена: 26024.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With a focus on the interplay between mathematics and applications of imaging, the first part covers topics from optimization, inverse problems and shape spaces to computer vision and computational anatomy. The second part is geared towards geometric control and related topics, including Riemannian geometry, celestial mechanics and quantum control. Contents:Part ISecond-order decomposition model for image processing: numerical experimentationOptimizing spatial and tonal data for PDE-based inpaintingImage registration using phase?amplitude separationRotation invariance in exemplar-based image inpaintingConvective regularization for optical flowA variational method for quantitative photoacoustic tomography with piecewise constant coefficientsOn optical flow models for variational motion estimationBilevel approaches for learning of variational imaging modelsPart IINon-degenerate forms of the generalized Euler?Lagrange condition for state-constrained optimal control problemsThe Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controlsControllability of Keplerian motion with low-thrust control systemsHigher variational equation techniques for the integrability of homogeneous potentialsIntroduction to KAM theory with a view to celestial mechanicsInvariants of contact sub-pseudo-Riemannian structures and Einstein?Weyl geometryTime-optimal control for a perturbed Brockett integratorTwist maps and Arnold diffusion for diffeomorphismsA Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part IIndex
Описание: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.
Автор: Nikolay Sidorov; Boris Loginov; A.V. Sinitsyn; M.V Название: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications ISBN: 1402009410 ISBN-13(EAN): 9781402009419 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE`s in mechanics and mathematical physics. This book covers regular iterative methods in a neighborhood of branch points, and more.
Автор: Mordukhovich Boris S. Название: Variational Analysis and Applications ISBN: 3030065138 ISBN-13(EAN): 9783030065133 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research.The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7–10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.
Автор: Michael Ruzhansky, Hemen Dutta, Ravi P. Agarwal Название: Mathematical Analysis and Applications: Selected Topics ISBN: 1119414342 ISBN-13(EAN): 9781119414346 Издательство: Wiley Рейтинг: Цена: 18525.00 р. Наличие на складе: Поставка под заказ.
Описание: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research
Mathematical Analysis and ApplicationsSelected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss-Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors--a noted team of international researchers in the field-- highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text:
Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc.
Contains chapters written by a group of esteemed researchers in mathematical analysis
Includes problems and research questions in order to enhance understanding of the information provided
Offers references that help readers advance to further study
Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and ApplicationsSelected Topics includes the most recent research from a range of mathematical fields.
Michael Ruzhansky, Ph.D., is Professor in the Department of Mathematics at Imperial College London, UK. Dr. Ruzhansky was awarded the Ferran Sunyer I Balaguer Prize in 2014.
Hemen Dutta, Ph.D., is Senior Assistant Professor of Mathematics at Gauhati University, India.
Ravi P. Agarwal, Ph.D., is Professor and Chair of the Department of Mathematics at Texas A&M University-Kingsville, Kingsville, USA.
Автор: Brezinski, Claude, Название: Biorthogonality and its applications to numerical analysis / ISBN: 0824786165 ISBN-13(EAN): 9780824786168 Издательство: Taylor&Francis Рейтинг: Цена: 35218.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.
Автор: Mircea Sofonea; Andaluzia Matei Название: Variational Inequalities with Applications ISBN: 1441927654 ISBN-13(EAN): 9781441927651 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. The book treats almost entirely VIs of the second kind. Much of the material is state-of-the-art.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Описание: Equilibrium is a concept used in operations research and economics to understand the interplay of factors and problems arising from competitive systems in the economic world. new mathematical methods allowing researchers to combine other theoretical approaches with the projected dynamical systems approach;
Автор: Dumitru Baleanu and Antonio Mendes Lopes Название: Handbook of Fractional Calculus with Applications ISBN: 3110570920 ISBN-13(EAN): 9783110570922 Издательство: Walter de Gruyter Рейтинг: Цена: 22439.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.
Описание: There is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation.
Описание: Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non- trivially) in regional and theoretical economics;
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